Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form x + y 2 = 25 ANSWER: no
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1 Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form x + y 2 = 25 no y = 4x yes; 4x y = xy 6x = 7 no 16. 4y = 4 no x = 7y 10y yes; 4x + y = y = 4x + x yes; 5x y = 0 Find the x and y intercepts of the graph of each linear function , 4 esolutions Manual - Powered by Cognero Page 1
2 20. 2, 2 Find the x- and y-intercepts of each linear function. Describe what the intercepts mean , 20; The x intercept represents the number of seconds that it takes the Eagle to land. The y intercept represents the initial height of the eagle , 4; The x intercept 8 means that it took Eva 8 minutes to get home. The y intercept 4 means that Eva was initially 4 miles from home. esolutions Manual - Powered by Cognero Page 2
3 Graph each equation by using the x and y intercepts. 23. y = 4 + 2x y = 3x 25. x = 5y + 5 esolutions Manual - Powered by Cognero Page 3
4 26. x + y = x y = y = 8 6x esolutions Manual - Powered by Cognero Page 4
5 Graph each equation by making a table. 29. x = y = y = 8x 32. 3x = y esolutions Manual - Powered by Cognero Page 5
6 33. y 8 = x x y = x + 8 y (x, y ) 0 y = (0) (0, 8) 1 y = (1) (7, 7) 2 y = (2) (2, 6) 34. x = 10 y x y = x + 10 y (x, y) 0 y = (0) (0, 10) 1 y = (1) (1, 9) 2 y = (2) (2, 8) esolutions Manual - Powered by Cognero Page 6
7 35. TV RATINGS The number of people who watch a singing competition can be given by p = 0.15v, where p represents the number of people in millions who saw the show and v is the number of potential viewers in millions. a. Make a table of values for the points (v, p ). b. Graph the equation. c. Use the graph to estimate the number of people who saw the show if there are 14 million potential viewers. d. Explain why it would not make sense for v to be a negative number. a. b. c. 2.1 million d. There cannot be fewer than 0 viewers. Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form. 36. x + = 7 no 37. yes; 3x 4y = 60 esolutions Manual - Powered by Cognero Page 7
8 38. 7n 8m = 4 2m yes; 6m 7n = a + b 2 = b yes; 3a = r 3rt + 5t = no yes, 9m 8n = FINANCIAL LITERACY James earns a monthly salary of $1200 and a commission of $125 for each car he sells. a. Graph an equation that represents how much James earns in a month in which he sells x cars. b. Use the graph to estimate the number of cars James needs to sell in order to earn $5000. a. b. about 30 cars esolutions Manual - Powered by Cognero Page 8
9 Graph each equation x 4 = y x = y 45. esolutions Manual - Powered by Cognero Page 9
10 x 3 = 4y y 7 = 4x CCSS REASONING Mrs. Johnson is renting a car for vacation and plans to drive a total of 800 miles. A rental car company charges $153 for the week including 700 miles and $0.23 for each additional mile. If Mrs. Johnson has only $160 to spend on the rental car, can she afford to rent a car? Explain your reasoning. No; sample answer: The rental car would cost $176. Mrs. Johnson only has $160 to spend. esolutions Manual - Powered by Cognero Page 10
11 50. AMUSEMENT PARKS An amusement park charges $50 for admission before 6 p.m. and $20 for admission after 6 p.m. On Saturday, the park took in a total of $20,000. a. Write an equation that represents the number of admissions that may have been sold. Let x represent the admissions sold before 6 p.m., and let y represent the admissions sold after 6 p.m. b. Graph the equation. c. Find the x and y intercepts of the graph. What does each intercept represent? a. 20,000 = 50x + 20y b. c. 400; 1000; The x-intercept represents the number of admissions sold before 6 P.M. when no admissions are sold after 6 P.M. The y-intercept represents the number of admissions sold after 6 P.M. when no admissions are sold before 6 P.M. Find the x intercept and y intercept of the graph of each equation x + 3y = 15 3; x 7y = 14 7; x 3y = 5 ; 54. 6x + 2y = 8 ; 4 esolutions Manual - Powered by Cognero Page 11
12 ; 3 ; ONLINE GAMES The percent of teens who play online games can be modeled by. p is the percent of students and t represents time in years since a. Graph the equation. b. Use the graph to estimate the percent of students playing the games in a. b. 96% esolutions Manual - Powered by Cognero Page 12
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Evaluate each expression. 1. 9 2 2. 4 4 3. 3 5 4. 30 14 2 5. 5 5 1 3 6. (2 + 5)4 esolutions Manual - Powered by Cognero Page 1 7. [8(2) 4 2 ] + 7(4) 8. 9. Evaluate each expression if a = 4, b = 6, and
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GA Math I Formative Assessment Units 1-3 *Diagnostic Only* (2009MathI-Units1-3)
Name: Date: 1. If the graph of f(x) is, which of the following is the graph of f(x)? 1 2. Which set of statements represents an invalid argument? 3. Which trinomial is equivalent to? 4. What is the inverse
The shortest distance from point K to line is the length of a segment perpendicular to from point K. Draw a perpendicular segment from K to.
8. Find the distance between each pair of parallel lines with the given equations. Copy each figure. Construct the segment that represents the distance indicated. 12. K to The shortest distance from point
NOTES Linear Equations
NOTES Linear Equations Linear Parent Function Linear Parent Function the equation that all other linear equations are based upon (y = x) Horizontal and Vertical Lines (HOYY VUXX) V vertical line H horizontal
Name: Unit 3 Beaumont Middle School 8th Grade, Introduction to Algebra
Unit 3 Beaumont Middle School 8th Grade, 2016-2017 Introduction to Algebra Name: I can identify a function, the domain and range. I can identify a linear relationship from a situation, table, graph and
Study Guide and Review - Rational Numbers
Choose the correct term or number to complete the sentence. 1. 1.875 is an example of a (terminating, repeating) decimal. Because the digits end, 1.875 is a terminating decimal. terminating 2. A common