Algebra 1 Vocabulary (The first choice is the correct answer) 1. y=mx+b

Transcription

1 Algebra 1 Vocabulary (The first choice is the correct answer) 1. y=mx+b Slope-intercept form of the equation of a line Standard form of the equation of a line The point where the graph crosses the y axis The point where the graph crosses the x axis 2. The b in the equation y=mx+b The y intercept The x intercept The y axis The x axis 3. Y-intercept The point where the graph crosses the y axis The point where the graph crosses the x axis The horizontal number line in a Cartesian Coordinate graph The vertical number line in a Cartesian Coordinate graph 4. X-intercept The point where the graph crosses the x axis The point where the graph crosses the y axis The horizontal number line in a Cartesian Coordinate graph The vertical number line in a Cartesian Coordinate graph 5. X axis The horizontal number line in a Cartesian Coordinate graph The vertical number line in a Cartesian Coordinate graph The point where the graph crosses the x axis The point where the graph crosses the y axis 6. Y axis The vertical number line in a Cartesian Coordinate graph The horizontal number line in a Cartesian Coordinate graph

2 The point where the graph crosses the x axis The point where the graph crosses the y axis 7. The m in the equation y=mx+b Slope The point where the graph crosses the y axis The point where the graph crosses the x axis Slope-intercept form of the equation of a line 8. Slope Rise over run or the change in y over the change in x The point where the graph crosses the x axis The point where the graph crosses the y axis The Cartesian Coordinate Plane 9. The x in the equation y=mx+b X axis Y axis X-intercept Y-intercept 10. The y in the equation y=mx+b Y axis X axis X-intercept Y-intercept 11. Binomial Two-term expression One-term expression Something with two names Any one or more items inside of a set of parentheses 12. Monomial One-term expression Two-term expression

3 Three-term expression Multi-term expression 13. Polynomial Expression with two or more terms One-term expression Any equation requiring the isolation of the x More than one math problem 14. FOIL First, Outside, Inside, Last Aluminum used to preserve food Grouping together items which have the same features Expression with two or more terms 15. Combine like terms Grouping together items which have the same features Joining together x^2, x and constants First, Outside, Inside, Last Expression with two or more terms 16. Distribute Using the distributive property to multiply one term across several other terms Using the associative property of math Using the commutative property of math Combine like terms 17. CLT Combine like terms Circumference Longest Time Joining together x^2, x and constants Expression with two or more terms 18. Inclusive To include To exclude or leave out

4 Two or more values which are not equal Two or more values which are equal 19. Exclusive To exclude or leave out To include Two or more values which are not equal Two or more values which are equal 20. Number line A line representing the positive, negative numbers and zero To include Two or more values which are not equal Two or more values which are equal 21. Inequality Greater-than Less-than ( > < ) Two or more values which are equal An ordered pair A graphed line 22. Less than < > 23. Greater than > < 24. Less than or equal to

5 > < 25. Greater than or equal to > < 26. Variable A letter or symbol which represents any number A number in front of an unknown like x Unable to be defined -- never able to be determined Never-changing, a constant 27. Equation Two sides of an equal sign which must remain balanced A letter or symbol which represents any number A number in front of an unknown like x Unable to be defined -- never able to be determined 28. Smaller number 5 is smaller than 10, 0 is smaller than 5, -2 is smaller than 0, -5 is smaller than -2-2 is larger than -5, 0 is larger than -2, 5 is larger than 0, 10 is larger than 5 A number which never ends or terminates, like Pi, for example A number which does terminate, like a whole number, for example 29. Break-even-point The point at which two things become equal A profitable business venture A business venture which is losing money Unable to be defined -- never able to be determined 30. In set notation, a parentheses ( means That value is not included That value is included

6 The set includes positive infinity The set includes negative infinity 31. In set notation, a bracket [ means That value is included That value is not included The set includes positive infinity The set includes negative infinity 32. On a number line, an open dot means That value is not included That value is included The set includes positive infinity The set includes negative infinity 33. On a number line, a solid dot means That value is included That value is not included The set includes positive infinity The set includes negative infinity 34. Infinity (in set notation) Is a not a number and therefore requires a parenthesis ( in set notation Is a number and therefore requires a bracket [ in set notation Zero Less than zero 35. Positive Infinity + Continuing forever up through the positive numbers Continuing forever down through the negative numbers Is not a real number and therefore can t be used Is theoretical and therefore can t be used 36. Negative Infinity - Continuing forever down through the negative numbers Continuing forever up through the positive numbers

7 Is not a real number and therefore can t be used Is theoretical and therefore can t be used 37. Expression Numbers, variables and operators, like x^2+x+1 Two sides of an equal sign which must remain balanced Requiring one step to complete Requiring more than one step to complete 38. Power The 2 in 3x^2-1 The -1 in 3x^2-1 The x in 3x^2-1 The 3 in 3x^ Root ( ) The opposite of raising to a power Superscript number defining how many times a number is multiplied by itself The x in 3x^2-1 The 3 in 3x^ Base The x in 3x^2-1 The 3 in 3x^2-1 The 2 in 3x^2-1 The -1 in 3x^ Constant The -1 in 3x^2-1 The 3 in 3x^2-1 The x in 3x^2-1 The 2 in 3x^ Singlestep Requiring one step to complete Requiring more than one step to complete

8 One of the many names of the x-intercepts of a parabola (also called zeros) What is done to an equation 43. Multistep Requiring more than one step to complete Requiring one step to complete One of the many names of the x-intercepts of a parabola (also called zeros) What is done to an equation 44. Evaluate What is done to an expression What is done to an equation The agreed-upon sequence to complete parentheses, power/root, multiplication/division, addition/subtraction The output or y values of a function 45. Solve What is done to an equation What is done to an expression The agreed-upon sequence to complete parentheses, power/root, multiplication/division, addition/subtraction The output or y values of a function 46. Order of operations The agreed-upon sequence to complete parentheses, power/root, multiplication/division, addition/subtraction The opposite of raising to a power 2 Superscript number defining how many times a number is multiplied by itself The input or x values of a function 47. Square root ( ) The opposite of raising to a power 2 Superscript number defining how many times a number is multiplied by itself The output or y values of a function The input or x values of a function 48. Radical Another name for square root The input or x values of a function

9 The output or y values of a function The input or x values of a function 49. Domain The input or x values of a function The output or y values of a function The notation for a function, f of x The notation for a function, f of x 50. Range The output or y values of a function The input or x values of a function The notation for a function, f of x What is done to an equation 51. f(x) The notation for a function, f of x What is done to an equation What is done to an expression The graph of a function with the highest power 2 like y=x^2 52. Function Notation f(x)=x^2 + 3 x^2 + 3 y=x^ Parabola The graph of a function with the highest power 2 like y=x^2 The graph of a line like y=x+1 More than one x value for a single y value Passing a vertical line through a graph to confirm it is a function or y=f(x) 54. Linear A line like y=2x+3 A parabola Passing a vertical line through a graph to confirm it is a function or y=f(x)

10 A circle 55. Relation More than one x value for a single y value A single y value for every x value Passing a vertical line through a graph to confirm it is a function or y=f(x) A son or a daughter 56. Input The value put in for x The value produced from a single input x known as y Passing a vertical line through a graph to confirm it is a function or y=f(x) Power/root, multiplication/division, addition/subtraction 57. Output The value produced from a single input x known as y The value put in for x Passing a vertical line through a graph to confirm it is a function or y=f(x) Power/root, multiplication/division, addition/subtraction 58. T-table A list in algebra containing x and y values Passing a vertical line through a graph to confirm it is a function or y=f(x) Power/root, multiplication/division, addition/subtraction Passing a vertical line through a graph to confirm it is a function or y=f(x) 59. Vertical line test Passing a vertical line through a graph to confirm it is a function or y=f(x) Passing a horizontal line through a graph to see if it is a Power/root, multiplication/division, addition/subtraction = 60. Operations of math Power/root, multiplication/division, addition/subtraction = >, <,,

11 61. x^(½) The square root of x like x x^2 x^3 x^4 62. Improper fraction A larger number in the numerator than in the denominator like 9/2 A whole number next to a fraction like 1 ½ An illegal fraction A number with a decimal 63. Mixed number A whole number next to a fraction like 1 ½ A larger number in the numerator than in the denominator like 9/2 An illegal fraction A number with a decimal 64. Numerator The upper position of a fraction The lower position of a fraction One of the many names of the x-intercepts of a parabola (also called zeros) Power/root, multiplication/division, addition/subtraction 65. Denominator The lower position of a fraction The upper position of a fraction One of the many names of the x-intercepts of a parabola (also called zeros) Passing a vertical line through a graph to confirm it is a function or y=f(x) 66. Roots One of the many names of the x-intercepts of a parabola (also called zeros) Passing a vertical line through a graph to confirm it is a function or y=f(x) Passing a horizontal line through a graph to see if it is a

12 Passing a vertical line through a graph to confirm it is a function or y=f(x) 67. Imaginary number A complex number defined by i^2 = -1 Passing a vertical line through a graph to confirm it is a function or y=f(x) Power/root, multiplication/division, addition/subtraction Time 68. Horizontal The dimension from side-to-side like a flat line, like looking at the horizon The dimension from up-to-down The dimension of depth from near-to-far Time 69. Vertical The dimension from up-to-down The dimension from side-to-side like a flat line, like looking at the horizon The dimension of depth from near-to-far Time 70. Slope of a horizontal line Zero slope Infinite or undefined Passing a vertical line through a graph to confirm it is a function or y=f(x) Rise over run 71. Slope of a vertical line Infinite or undefined Zero Passing a vertical line through a graph to confirm it is a function or y=f(x) Rise over run 72. Desmos.com A graphing / calculator website An app which takes a picture and solves the problem Passing a vertical line through a graph to confirm it is a function or y=f(x)

13 The formation of the stars in the night sky 73. ax^2+bx+c=0 Standard form of the parabola equation Standard form of a linear equation The slope intercept form of a linear equation The graph of a diagonal line 74. y=x The graph of a diagonal line The graph of a parabola Standard form of the parabola equation Passing a vertical line through a graph to confirm it is a function or y=f(x) 75. y=x^2 The most basic equation of a parabola The most basic equation of a line Passing a vertical line through a graph to confirm it is a function or y=f(x) The quadratic equation 76. Quadratic formula x= (-b +/- (b^2-4ac)) / 2a b^2-4ac A=l*w A=Pi*r^2 77. Factoring Removing the largest common factor from several terms like 10x+5 = 5 (2x+1) The distance from zero on a number line -6 = 6 Passing a vertical line through a graph to confirm it is a function or y=f(x) Taking into account 78. The discriminant b^2-4ac x= (-b +/- (b^2-4ac)) / 2a A=l*w

14 A=Pi*r^2 79. Completing the square A method of factoring quadratics b^2-4ac x= (-b +/- (b^2-4ac)) / 2a A=l*w 80. Absolute value The distance from zero on a number line -6 = 6 b^2-4ac x= (-b +/- (b^2-4ac)) / 2a A=l*w 81. System of equations Two or more equations on the same graph To subtract To multiply To divide 82. Line of symmetry The centerline of a symmetrical shape To subtract To multiply To divide 83. Variables on both sides of an equation Deal with the smallest number of variables first (negatives included) The distance from zero on a number line -6 = 6 Passing a vertical line through a graph to confirm it is a function or y=f(x) Taking into account 84. Sum To add To subtract To multiply

15 To divide 85. Difference To subtract To add To multiply To divide 86. Product To multiply To add To subtract To divide 87. Quotient To divide To add To subtract To multiply 88. Equality (in math) Equals = >, <,, The distance from zero on a number line -6 = 6 Passing a vertical line through a graph to confirm it is a function or y=f(x) 89. Inequality (in math) >, <,, Equals = The distance from zero on a number line -6 = 6 Passing a vertical line through a graph to confirm it is a function or y=f(x) 90. The commutative property of addition 2+3 = 3+2 2*3 = 3*2 1+(8+5) = (1+8)+5

16 a(b+c) = ab+bc 91. The commutative property of multiplication 2*3 = 3*2 2+3 = 3+2 2*(3*4) = (2*3)*4 a(b+c) = ab+bc 92. The associative property of addition 1+(8+5) = (1+8) = 3+2 2*3 = 3*2 2*(3*4) = (2*3)*4 93. The associative property of multiplication 2*(3*4) = (2*3)*4 a(b+c) = ab+bc 2*3 = 3*2 1+(8+5) = (1+8) The distributive property a(b+c) = ab+bc 2*3 = 3*2 2+3 = 3+2 2*(3*4) = (2*3)*4 95. The additive identity property 5+0 = = 0 8*1 = 1*8 8* ⅛ = The additive inverse property = = 0+5 8*1 = 1*8

17 8* ⅛ = The multiplication identity property 8*1 = 1*8 5+0 = = 0 8* ⅛ = The multiplicative inverse property 8* ⅛ = = = 0 8*1 = 1*8 99. Photomath An app which takes a picture and solves the math problem A graphing / calculator website The distance from zero on a number line -6 = 6 Passing a vertical line through a graph to confirm it is a function or y=f(x) 100. Operators (in math) power/root, multiplication/division, addition/subtraction The distance from zero on a number line -6 = 6 Passing a vertical line through a graph to confirm it is a function or y=f(x) Taking into account 101. Superscript Smaller raised position to the right of a number or variable Smaller lowered position to the right of a number or variable The distance from zero on a number line -6 = 6 Passing a vertical line through a graph to confirm it is a function or y=f(x) 102. Subscript Smaller lowered position to the right of a number or variable Smaller raised position to the right of a number or variable The distance from zero on a number line -6 = 6

18 Passing a vertical line through a graph to confirm it is a function or y=f(x) 103. Invisible ones in math (3 or them!) (1*x^1)/1 The distance from zero on a number line -6 = 6 Passing a vertical line through a graph to confirm it is a function or y=f(x) Taking into account 104. Every number is a fraction x = x/1, 5=5/1 The distance from zero on a number line -6 = 6 Passing a vertical line through a graph to confirm it is a function or y=f(x) Taking into account 105. Cube root ( ) The number that produces the given number when multiplied by itself three times Then number that produces the given number when multiplied by itself four times The number that produces the given number when multiplied by itself two times The number that produces the given number when multiplied by itself five times 106. Fourth root ( ) Then number that produces the given number when multiplied by itself four times The number that produces the given number when multiplied by itself three times The number that produces the given number when multiplied by itself two times The number that produces the given number when multiplied by itself five times 107. Independent variable The input or x variable of a function The output or y variable of a function The number that produces the given number when multiplied by itself two times The number that produces the given number when multiplied by itself five times 108. Dependant variable The output or y variable of a function The input or x variable of a function The number that produces the given number when multiplied by itself two times

19 The number that produces the given number when multiplied by itself five times 109. A quadratic That which is created through four multiplication steps of two binomials The input or x variable of a function The number that produces the given number when multiplied by itself two times The number that produces the given number when multiplied by itself five times 110. Depth The dimension of depth from near-to-far The dimension from up-to-down The dimension from side-to-side like a flat line, like looking at the horizon Time 111. The solution to an equation Any point on the line Where the two graphs cross The input or x variable of a function The number that produces the given number when multiplied by itself two times 112. The solution to a system of equations Where the graphs cross Any point on the line The input or x variable of a function The number that produces the given number when multiplied by itself two times 113. Linear function When graphed forms a line When graphed forms a curve When graphed forms a square When graphed forms a circle 114. Nonlinear function When graphed forms a curve When graphed forms a line When graphed forms a square

20 When graphed forms a circle 115. Discrete Individual points on a graph An infinite number of points on a graph forming a smooth line or curve Must always be positive Can be negative 116. Continuous An infinite number of points on a graph forming a smooth line or curve Individual points on a graph Must always be positive Can be negative 117. Number of T-shirts Discrete Continuous 118. Time Continuous Discrete 119. Distance Must always be positive Can be negative 120. Direction Can be negative Must always be positive 121. TOC Table of Contents Combine Like Terms

21 122. Independent Determined separately Determined by something else 123. Dependent Determined by something else Determined separately 124. Fraction bar The line between the numerator and the denominator of a fraction Part of a whole Evenly divisible The plotting of data to find a correlation between seemingly unrelated points 125. Mean The average, add all numbers and divide by the number of numbers The middle number of a data set when ordered from low to high (the average of the two middle numbers if the data set contains an even number of data values) The number which occurs most often in a data set An accelerating growth rate 126. Median The middle number of a data set when ordered from low to high (the average of the two middle numbers if the data set contains an even number of data values) The average, add all numbers and divide by the number of numbers The number which occurs most often in a data set An accelerating growth rate 127. Mode The number which occurs most often in a data set The average, add all numbers and divide by the number of numbers The middle number of a data set when ordered from low to high (the average of the two middle numbers if the data set contains an even number of data values) An accelerating growth rate 128.

22 Exponential growth An accelerating growth rate Rapid decline tapering to almost zero 129. Exponential decay Rapid decline tapering to almost zero An accelerating growth rate 130. Logarithmic An accelerating rate 131. Scatter plot The plotting of data to find a correlation between seemingly unrelated points The ends of the box are the upper and lower quartiles, the median is the vertical line in the box and the whiskers are the two lines outside the box that extend to the highest and lowest observations 132. Box and Whisker plot The ends of the box are the upper and lower quartiles, the median is the vertical line in the box and the whiskers are the two lines outside the box that extend to the highest and lowest observations The plotting of data to find a correlation between seemingly unrelated points 133. Anything raised to the power zero (except zero), for example x^0, 5^0, etc. One Zero 134. When multiplying or dividing an inequality by a negative Flip the inequality sign 135. Average Another name for the mean Another name for the median Another name for the mode Neither really good nor really bad, just so-so

23 136. When solving absolute value inequalities, create two cases, the first a repeat of the given absolute value inequality without the inequality symbol and for the second case: Flip two signs, the inequality sign and the sign of one side of the inequality Just solve the given inequality 137. Symbol for absolute value, what is the absolute value of x? x = > < 138. Maximum or just Max The highest point on a graph The lowest point on a graph 139. Minimum or just Min The lowest point on a graph The highest point on a graph 140. Graph A visual of numerical data Numbers 141. Slope Intercept Form of the equation of a line (its purpose is ease of graphing) y=mx+b Ax+By=C 142. Standard From of the equation of a line Ax+By=C y=mx+b 143. Coefficient

24 The 3 in 3x^2-1 The -1 in 3x^2-1 The x in 3x^2-1 The 2 in 3x^ Positive slope Up-to-the-right Up-to-the-left 145. Negative slope Up-to-the-left Up-to-the-right 146. Zero product property Given (x+2)(x-5)=0, then x+2=0 and or x-5=0 The four steps of multiplying two binomials, ex (x-1)(x+2) 147. Slope (y2-y1)/(x2-x1) French for a mountain 148. Slope All of these answers are correct Δy/Δx Rise over run (y2-y1)/(x2-x1) 149. Give the standard form of the equation of a line Ax+By=C, how can we find the x intercept? C/A C/B -A/B 150. Give the standard form of the equation of a line Ax+By=C, how can we find the y intercept?

25 C/B C/A -A/B 151. Give the standard form of the equation of a line Ax+By=C, how can we find the slope? -A/B C/A C/B 152. Give the standard form of the equation of a line Ax+By=C, if we are given 4x+3y=12, what are the values of A, B and C. A=4, B=3, C=12 A=4x, B=3y, C=12 A=3, B=4, C=12 A=3y, B=4x, C= Give the standard form of the equation of a line Ax+By=C, what is x? The x axis The y axis 154. Give the standard form of the equation of a line Ax+By=C, what is y? The y axis The x axis 155. Delta x Δx (which means, the change in x ) Δy (which means, the change in y ) 156. Delta y Δy (which means, the change in y ) Δx (which means, the change in x ) 157. X-to-y table A T-table or a table with x and y values

26 Another name for a variable A function and its graph composed of two or more functions A ratio (fraction) comparing two quantities, often a comparison of time, ex miles per hour 158. Figure 0 The Figure before Figure 1 in a tile pattern A T-table or a table with x and y values Another name for a variable A function and its graph composed of two or more functions 159. Growth A description of a mathematical relationship as illustrated by slope Another name for a variable and often the variables used other than the x and y for example in Ax+By=C, the A, B and C A function and its graph composed of two or more functions A ratio (fraction) comparing two quantities, often a comparison of time, ex miles per hour 160. Linear Equation The equation of a line like y=mx+b or Ax+By=C Another name for a variable and often the variables used other than the x and y for example in Ax+By=C, the A, B and C A function and its graph composed of two or more functions A ratio (fraction) comparing two quantities, often a comparison of time, ex miles per hour 161. Parameter Another name for a variable and often the variables used other than the x and y for example in Ax+By=C, the A, B and C A T-table or a table with x and y values A function and its graph composed of two or more functions A ratio (fraction) comparing two quantities, often a comparison of time, ex miles per hour 162. Piecewise function and graph A function and its graph composed of two or more functions Another name for a variable and often the variables used other than the x and y for example in Ax+By=C, the A, B and C A T-table or a table with x and y values A ratio (fraction) comparing two quantities, often a comparison of time, ex miles per hour

27 163. Rate of change or just Rate A ratio (fraction) comparing two quantities, often a comparison of time, ex miles per hour Another name for a variable and often the variables used other than the x and y for example in Ax+By=C, the A, B and C A T-table or a table with x and y values A function and its graph composed of two or more functions 164. Situation (in algebra and geometry) Referring to proportional shapes which can be solved with a proportion Another name for a variable and often the variables used other than the x and y for example in Ax+By=C, the A, B and C A T-table or a table with x and y values A function and its graph composed of two or more functions 165. Slope triangle A right triangle drawn on a graph to illustrated the hypotenuse and the slope (rise over run) of the graphed line Another name for a variable and often the variables used other than the x and y for example in Ax+By=C, the A, B and C A T-table or a table with x and y values A function and its graph composed of two or more functions 166. Starting value The first value used in a tile pattern or an equation Another name for a variable and often the variables used other than the x and y for example in Ax+By=C, the A, B and C A T-table or a table with x and y values A function and its graph composed of two or more functions 167. Steepness Another way of talking about the slope of a line, in general, the larger the slope, the steeper the line Another name for a variable A T-table or a table with x and y values A function and its graph composed of two or more functions 168. Table A set of rows and columns into which data can be placed

28 Another name for a variable A T-table or a table with x and y values A function and its graph composed of two or more functions 169. Unit rate A rate with a denominator of one when simplified, like miles per hour can also be stated miles per one hour Another name for a variable A T-table or a table with x and y values A function and its graph composed of two or more functions 170. Algebra tiles A manipulative whose area represents a constant or variable quantity Another name for a variable A T-table or a table with x and y values A function and its graph composed of two or more functions 171. Closed set A set of numbers which produces a number in the set when applying an operation, example whole numbers are a closed set because if you add two whole numbers and whole number is the result A manipulative whose area represents a constant or variable quantity A T-table or a table with x and y values A function and its graph composed of two or more functions 172. Dimensions How far something extends in a direction A set of numbers which produces a number in the set when applying an operation, example whole numbers are a closed set because if you add two whole numbers and whole number is the result A manipulative whose area represents a constant or variable quantity A T-table or a table with x and y values 173. Exponent The 2 in 3x^2-1 or the entire expression of x^2 The 3 in 3x^2-1 The -1 in 3x^2-1 The x in 3x^ Generic rectangles

29 A drawn square or rectangle shape divided into fourths to generalize algebra tiles A set of numbers which produces a number in the set when applying an operation, example whole numbers are a closed set because if you add two whole numbers and whole number is the result A manipulative whose area represents a constant or variable quantity A T-table or a table with x and y values 175. Integer The set of numbers {...-3, -2, -1, 0, 1, 2, 3,...} The set of numbers {...-3, -2, -1} and {1, 2, 3,...} The set of numbers {0, 1, 2, 3,...} 176. Length A dimension, typically the horizontal dimension A dimension, typically the vertical dimension A dimension, typically from the front-to-the-back 177. Width A dimension, typically from the front-to-the-back A dimension, typically the horizontal dimension A dimension, typically the vertical dimension 178. Solution Any point lying on the graph, for example y=2x, (1,2) is a solution A set of numbers which produces a number in the set when applying an operation, example whole numbers are a closed set because if you add two whole numbers and whole number is the result A manipulative whose area represents a constant or variable quantity A T-table or a table with x and y values 179. Term A single number, variable, or product of numbers and variables, example 3x^2 A set of numbers which produces a number in the set when applying an operation, example whole numbers are a closed set because if you add two whole numbers and whole number is the result A manipulative whose area represents a constant or variable quantity A T-table or a table with x and y values 180. Legal moves

30 Actions which keep an equation balanced, for example, what is done to one side must be done to the other A set of numbers which produces a number in the set when applying an operation, example whole numbers are a closed set because if you add two whole numbers and whole number is the result A manipulative whose area represents a constant or variable quantity A T-table or a table with x and y values 181. Coincide (when speaking of equations and their graphs) Two graphs which exactly match up and therefore lay on top of each other exactly, example y=2x+4 and 3y=6x+12 A set of numbers which produces a number in the set when applying an operation, example whole numbers are a closed set because if you add two whole numbers and whole number is the result A manipulative whose area represents a constant or variable quantity A T-table or a table with x and y values 182. Elimination method A method for solving a system of equations, by adding the equations one of the variables cancels out Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is true like with 2x+3=2x+3, 3=3 is always true Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is not true like with 2x+3=2x+7, 3=7 is not true 183. Equal values method A method for solving systems of equations, because y=-2x+5 and y=x-1, -2x+5=x-1 Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is true like with 2x+3=2x+3, 3=3 is always true Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is not true like with 2x+3=2x+7, 3=7 is not true 184. Infinite solutions Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is true like with 2x+3=2x+3, 3=3 is always true Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is not true like with 2x+3=2x+7, 3=7 is not true 185. Mathematical sentence An equation or statement which uses variables to represent unknown quantities The division between regions on a graph

31 Use to assign a value to a variable, like Let x = apples and Let y = oranges The division between regions on a graph 186. Model A mathematical summary (often an equation) of a trend in data The division between regions on a graph Use to assign a value to a variable, like Let x = apples and Let y = oranges The division between regions on a graph 187. No solution Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is not true like with 2x+3=2x+7, 3=7 is not true Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is true like with 2x+3=2x+3, 3=3 is always true 188. Area of a circle A=Pi*r^2 A=S^2 A=l*w A=½ b*h 189. Point of intersection The point that two or more graphs have in common A method for solving a system of equations by replacing one variable with an expression containing the remaining variable(s) Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is not true like with 2x+3=2x+7, 3=7 is not true Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is true like with 2x+3=2x+3, 3=3 is always true 190. Boundary or dividing line or point The division between regions on a graph A method for solving a system of equations by replacing one variable with an expression containing the remaining variable(s) Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is not true like with 2x+3=2x+7, 3=7 is not true Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is true like with 2x+3=2x+3, 3=3 is always true

32 191. Substitution method A method for solving a system of equations by replacing one variable with an expression containing the remaining variable(s) Use to assign a value to a variable, like Let x = apples and Let y = oranges The division between regions on a graph 192. Let statement Use to assign a value to a variable, like Let x = apples and Let y = oranges Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is not true like with 2x+3=2x+7, 3=7 is not true Having the same number of variables on both sides of an equation so that the variable completely disappears and the result is true like with 2x+3=2x+3, 3=3 is always true 193. Arithmetic sequence The difference between sequential terms is constant The difference between sequential terms is either increasing or decreasing The division between regions on a graph A prediction outside of the range of the data based on the data 194. Common difference The difference between consecutive terms of an arithmetic sequence is a consistent number The division between regions on a graph A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest 195. Common ratio The number each consecutive term of a geometric sequence is multiplied by to get the next number in the sequence The division between regions on a graph A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest 196. Exponential function Equation of the form y=ab^x+c where a is the initial value, b is the positive multiplier and y=c is the equation of the horizontal asymptote

33 The division between regions on a graph A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest 197. f(0) The output of a function at an input of zero is the y-intercept of that function The division between regions on a graph A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest 198. First term (in an arithmetic sequence) The term after the zero or zeroth term The zero or zeroth term is the term produced from substituting zero for the variable The division between regions on a graph A prediction outside of the range of the data based on the data 199. Geometric sequence Terms are generated by a multiplier, like 5, 15, 45 The division between regions on a graph A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest 200. Initial value (in a sequence) The zero or zeroth term is the term produced from substituting zero for the variable The term after the zero or zeroth term The division between regions on a graph A prediction outside of the range of the data based on the data 201. Multiplier (in a geometric sequence) or common ratio or generator The number each term is multiplied by to get to the next term The division between regions on a graph A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest 202. Recursive sequence

34 A sequence in which the other terms need to be known to produce additional terms like the Fibonacci sequence which requires two terms to find any other term The division between regions on a graph A prediction outside of the range of the data based on the data 203. Sequence An arithmetic or geometric list of numbers called terms and each term is numbered, for example 5, 8, 11,... The division between regions on a graph A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest 204. Generator or sequence generator Tells us how to find the next term in the sequence when one is already known The division between regions on a graph A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest 205. Term number (in a sequence) A number that gives the position of a term in a sequence The division between regions on a graph A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest 206. Association (in algebra) A relationship between two or more variables, linear or nonlinear A prediction outside of the range of the data based on the data The division between regions on a graph The time it takes for decaying material to become half of what it was 207. Cause That which produces an outcome or an effect as in cause and effect The division between regions on a graph A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest 208. Correlation coefficient

35 r, a measure of how scattered the data is in a least squares regression line The division between regions on a graph A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest 209. Extrapolation or to Extrapolate A prediction outside of the range of the data based on the data The division between regions on a graph Interest paid on both the principal and the previously accrued interest The division between regions on a graph 210. Form (of an association) Linear or nonlinear are types of forms of association A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest A display of residuals of an association 211. Line of best fit A line that represents data on a scatter plot A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest The division between regions on a graph 212. LSRL - Least-Squares Regression Line The best fit line for a set of data with the smallest possible value for the sum of the squares of the residuals Interest paid on both the principal and the previously accrued interest The division between regions on a graph The time it takes for decaying material to become half of what it was 213. Lurking variable A hidden variable that has an effect on a study by was left out of consideration Interest paid on both the principal and the previously accrued interest The division between regions on a graph The time it takes for decaying material to become half of what it was 214. Outlier

36 A number in a set of data that is far away from the bulk of the data Interest paid on both the principal and the previously accrued interest The division between regions on a graph The time it takes for decaying material to become half of what it was 215. Prediction (predicted value of an association) The output y value that is predicted from an input x value by the best-fit model for an association Interest paid on both the principal and the previously accrued interest The division between regions on a graph The time it takes for decaying material to become half of what it was 216. R The correlation coefficient, a measure of how scattered the data is in a least squares regression line Interest paid on both the principal and the previously accrued interest The division between regions on a graph The time it takes for decaying material to become half of what it was 217. R^2 or R-Squared The correlation coefficient raised to the power 2 and tells us the strength of the linear relationship of a set of data Interest paid on both the principal and the previously accrued interest The division between regions on a graph The time it takes for decaying material to become half of what it was 218. Random scatter (of residuals) Randomly scattered residuals around the horizontal axis are an indication that a linear regression model is appropriate, otherwise, a non-linear model is more appropriate The distance a prediction is from the actual observed measurement in an association Interest paid on both the principal and the previously accrued interest 219. Residual The distance a prediction is from the actual observed measurement in an association Interest paid on both the principal and the previously accrued interest The division between regions on a graph The time it takes for decaying material to become half of what it was 220. Residual plot

37 A display of residuals of an association Interest paid on both the principal and the previously accrued interest The division between regions on a graph The time it takes for decaying material to become half of what it was 221. Strength (of an association) A description of how much scatter there is in the data away from the line or curve of best fit Interest paid on both the principal and the previously accrued interest Equations that look different but have the same value and graph, like y=3x and 2y=6x The division between regions on a graph 222. Area of a triangle A=½ b*h A=Pi*r^2 A=S^2 A=l*w 223. Appreciation An increase in value A decrease in value A prediction outside of the range of the data based on the data Equations that look different but have the same value and graph, like y=3x and 2y=6x 224. Asymptote A line that a graph approaches ever-more closely but never reaches A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest The time it takes for decaying material to become half of what it was 225. Compound interest Interest paid on both the principal and the previously accrued interest A prediction outside of the range of the data based on the data Interest paid on both the principal and the previously accrued interest Equations that look different but have the same value and graph, like y=3x and 2y=6x 226. Depreciation

38 A decrease in value due to wear and tear and age and decay Interest paid on both the principal and the previously accrued interest Equations that look different but have the same value and graph, like y=3x and 2y=6x The time it takes for decaying material to become half of what it was 227. Fractional exponents The power is a fraction like x^(½) Interest paid on both the principal and the previously accrued interest Equations that look different but have the same value and graph, like y=3x and 2y=6x The division between regions on a graph 228. Half-life The time it takes for decaying material to become half of what it was Interest paid on both the principal and the previously accrued interest Equations that look different but have the same value and graph, like y=3x and 2y=6x 229. Initial value The first term of a sequence Interest paid on both the principal and the previously accrued interest Equations that look different but have the same value and graph, like y=3x and 2y=6x The time it takes for decaying material to become half of what it was 230. Pythagorean Theorem C^2=A^2+B^2 A=½ b*h A=Pi*r^2 A=l*w 231. C in the Pythagorean Theorem must be The hypotenuse (the longest side and the side across from the right angle) The leg attached to the right angle The shortest side of the triangle Rule - a square root cannot be in the denominator of a fraction 232. Step function

39 A piecewise function with a graph like a series of of line segments that look like a set of steps Interest paid on both the principal and the previously accrued interest Equations that look different but have the same value and graph, like y=3x and 2y=6x The time it takes for decaying material to become half of what it was 233. Difference of squares (x+5)(x-5) = x^2-5x+5x-25 = x^2-25 A=S^2 A=Pi*r^2 A=l*w 234. Area of a square A=S^2 A=Pi*r^2 A=l*w A=½ b*h 235. Factor completely When none of the terms can be factored any further Equations that look different but have the same value and graph, like y=3x and 2y=6x The time it takes for decaying material to become half of what it was 236. Factored form 2(x+1)(x-5) 2x^2-8x-10 x^2-4x-5 A=½ b*h 237. Circumference of a circle C=2*Pi*r A=S^2 A=Pi*r^2 A=½ b*h 238. Graphing form or vertex form

40 The form of the equation which is graphed most easily like y=mx+b or y=a(x-h)^2+k Equations that look different but have the same value and graph, like y=3x and 2y=6x The time it takes for decaying material to become half of what it was 239. Perfect square trinomial (ax+b)^2 = a^2x^2+2abx+b^2 or (3x-4)^2 = 9x^2-24x+16 4*S 2*L+2*W Area 240. Perimeter of a square formula 4*S 2*L+2*W Area Volume 241. Vertex Point where two lines meet to form an angle A tornado in the water or the way a tornado spins Two or more angles which sum to equal 180 degrees Two or more angles which sum to equal 90 degrees 242 Zeros Another name for roots and the x-intercepts of a parabola graph Equations that look different but have the same value and graph, like y=3x and 2y=6x The time it takes for decaying material to become half of what it was 243. Coordinates or a coordinate (x,y) Equations that look different but have the same value and graph, like y=3x and 2y=6x The time it takes for decaying material to become half of what it was 244. Region

41 An area of shared solutions of two or more graphed inequalities Point where two lines meet to form an angle Equations that look different but have the same value and graph, like y=3x and 2y=6x The time it takes for decaying material to become half of what it was 245. System of inequalities Two or more inequalities that when graphed produce shaded regions of solutions Equations that look different but have the same value and graph, like y=3x and 2y=6x The time it takes for decaying material to become half of what it was 246. Boundary point The solid or open dot of an inequality graph on a number line Equations that look different but have the same value and graph, like y=3x and 2y=6x The time it takes for decaying material to become half of what it was 247. Categorical data Data which can be separated into categories like: color, gender, state born in, etc. Numbers which can only be placed on a number line Point where two lines meet to form an angle Equations that look different but have the same value and graph, like y=3x and 2y=6x 248. Equivalent equations Equations that look different but have the same value and graph, like y=3x and 2y=6x A display of categorical two-way data The time it takes for decaying material to become half of what it was 249. Fraction Busting Method used to remove fractions from equations by multiplying through by the denominator Point where two lines meet to form an angle A display of categorical two-way data The time it takes for decaying material to become half of what it was 250. Intercept

42 To cross or intersect A display of categorical two-way data The time it takes for decaying material to become half of what it was 251. [ This one next ] Intersection To cross or to have the same solution at a single point A display of categorical two-way data The time it takes for decaying material to become half of what it was 252. Irrational number Numbers which cannot be expressed in the form of a/b where b 0, which never terminate and never repeat Integers expressed in the form of a/b where b 0, which terminate or repeat The set of all numbers including irrational and rational A display of categorical two-way data 253. Looking inside A method used to solve equations with parentheses or absolute value, example 4(x+2)=36, solve for x+2=9 first The time it takes for decaying material to become half of what it was Flipping a fraction 254. Number system Overall number organization: complex, imaginary, real, rational, irrational, integers, fractions, whole, negative, zero and natural numbers. Point where two lines meet to form an angle A display of categorical two-way data 255. Perfect square form a(x+b)^2=c where a 0 or (3(x-12)^2=19 is a quadratic equation in perfect square form Flipping a fraction 256. Rational numbers

43 Integers expressed in the form of a/b where b 0, which terminate or repeat Numbers which cannot be expressed in the form of a/b where b 0, which never terminate and never repeat The set of all numbers including irrational and rational Point where two lines meet to form an angle 257. Real numbers The set of all numbers including irrational and rational Integers expressed in the form of a/b where b 0, which terminate or repeat Numbers which cannot be expressed in the form of a/b where b 0, which never terminate and never repeat Point where two lines meet to form an angle 258. Relative frequency Point where two lines meet to form an angle The time it takes for decaying material to become half of what it was Flipping a fraction 259. Rewriting To write an equivalent equation or expression of a given equation or expression Point where two lines meet to form an angle A display of categorical two-way data 260. Simplifying or to Simplify To write a less complicated expression with the same value Point where two lines meet to form an angle A display of categorical two-way data 261. Standard form of a quadratic equation Ax^2+Bx+C=0 y=mx+b Ax+By=C Flipping a fraction 262. Two-way table