Probability/Inequalities/Exponents/Factoring and Graphing Quadratics Test Review
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1 Probabilit/Inequalities/Exponents/Factoring and Graphing Quadratics Test Review Name Class PD 1. Find the prime factorization of 70.. Find the prime factorization of Find the GCF of and 7.. Find the GCF of and Find the GCF of and.. Find the GCF of and. 7. Factor the polnomial.. Factor the polnomial. 9. The amount of paint needed to cover a wall is proportional to its area. The wall is rectangular and has an area of square meters. Factor this polnomial to find possible expressions for the length and width of the wall. (Assume the factors are polnomials.)
2 . Graph the parabola. 1. a=, b=, c=. Does the graph open up or down? 3. The -intercept is:. The line of smmetr is:_x= Graph and label the axis 5. The vertex is (, ). Make a table of values and graph the 5 points: vertex, -incpt. and 3 other points) x The zeros of this function are: x 11. Graph = x x a=, b=, c=. Does the graph open up or down? 3. The -intercept is:. The line of smmetr is:_x= Graph and label the axis 5. The vertex is (, ). Make a table of values and graph the 5 points: vertex, -incpt. and 3 other points) x The zeros of this function are: x
3 1. Graph. 1. a=, b=, c=. Does the graph open up or down? 3. The -intercept is:. The line of smmetr is:_x= Graph and label the axis 5. The vertex is (, ). Make a table of values and graph the 5 points: vertex, -incpt. and 3 other points) x The zeros of this function are about: x 13. TAKS A) B)
4 1. TAKS A) B) 15. Simplif. 1. Simplif. 17. The area of a rectangle is square units If the length of the rectangle is units, how man units wide is the recatangle? (a, b, c, are not equal to zero) 1. The edge of a cube measures m. What is the volume of the cube in cubic centimeters? 19. The area of Australia/Oceania is approximatel square kilometers. Its population is approximatel people. What is the approximate population densit (people per square kilometer) of Australia/Oceania? Write our answer in standard form. If necessar, round our answer to the nearest hundredth.
5 0. Write an inequalit to represent the graph x Graph the sstem of linear inequalities. Which of these ordered pairs are solutions to this sstem? x 3 5. Solve and graph Solve the inequalit z + 3z.. Solve the inequalit. 5. An experiment consists of rolling a number cube. Find the theoretical probabilit of rolling a number less than or equal to 5. Express our answer as a fraction in simplest form.
6 . The table below shows the results of rolling a fair cube 50 times in a classroom activit. What is the difference between the theoretical and experimental probabilit of rolling an odd number. OUTCOME FREQUENCY A grab bag contains 3 football cards and 7 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. What is the probabilit of selecting a football card and then a basketball card? Express our answer as a decimal.. A bag contains hair ribbons for a spirit rall. The bag contains 3 black ribbons and 1 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probabilit that Lila selects a black ribbon and Jessica selects a green ribbon? Express our answer as a fraction in simplest form. 9. A school has th, 7th, and th period Social Studies classes. One student from each class will be chosen to represent the school in an essa contest. The th period finalists are Manuel, Sarah, Luis, and Eiko. The 7th period finalists are Benji, Eric, and Sandra. The th period finalists are Hilda, Elizabeth, and Robb. How man different was can the students be chosen? 30. An experiment consists of spinning a spinner. A) What is the theoretical probabilit that the spinner will land on a blue? B) What is the experimental probabilit that the spinner will land on a blue? C) What is the difference between the two probabilities? Express our answers as percentages. Outcome Frequenc red blue ellow 13 Know our parent graphs: linear, quadratic, and how changing the leading coefficient will affect the graph..
7 Probabilit/Inequalities/Exponents Test Review Answer Section SHORT ANSWER 1. ANS:. ANS: 3,3,3,7 3. ANS:. ANS: 5. ANS:. ANS: 7. ANS:. ANS: 9. ANS: ; possible dimensions: z meters b (z + 1) meters. ANS: a= -, b=-1, c=-1; graph opens down; -incpt.=-1; axis of smm: x=-3; vertex:( 3, ) x The zeros of are and. The axis of smmetr is at x. When,. The vertex of the parabola is ( 3, ). zeros ((-, 0), (-, 0)
8 11. ANS: a=-1, b=-, c=-3; graph opens down; -incpt=-3; asis of smmetr x=-; vertes -, 1) x = (, 1). This is the c-value in the equation, or 3. Zeros (-3, 0), (-1, 0) 1. ANS: a=1, b=-3, c=, opens up; -incpt= 1 (1.5, 1.75) 1 x The axis of smmetr is. The vertex is. Step 1: Find the axis of smmetr. Use. Substitute 1 for a and for b. Step : Find the vertex. The vertex is. Substitute for x. There are no zeros for this function 13. ANS: A)f B) f 1. ANS: A) b, B) d The -coordinate is.
9 15. ANS: 1. ANS: 17. ANS: 1. ANS: cm 19. ANS:.0 people/km 0. ANS: x ANS: (0, 0) and (, 5) are solutions. (, ) and (, 1) are not solutions x ANS: x > ANS: z 3. ANS: all real numbers 5. ANS: 0. ANS:.0=1/50 7. ANS: 0.1
10 . ANS: ANS: 3 Use the Fundamental Counting Principle. There are th period finalists, 3 7th period finalists, and 3 th 30. ANS: A) 33.3% B).% C) difference=11.1%
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