Cumulative Test. 141 Holt Algebra 2. Name Date Class. Select the best answer. 1. Identify the property demonstrated by. 7.

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1 Select the best answer. 1. Identify the property demonstrated by A Associative Property B Commutative Property C Distributive Property D Additive Identity Property. Simplify F 0 H 4 4 G 1 4 J 4 6. Simplify x y. Assume all x y variables are nonzero. 9 y 4 A C 9 x y 4 4 x 4 B 9 y 4 4 x D 9 x y Which of the following relations is not a function? F From student to age G From age to student H From student to social security number J From social security number to student 5. Evaluate f if f x 1 x 1 x. A C 1 9 B 1 D 6. Which function C m represents the cost of a phone call, in dollars, if the call costs cents per minute on top of a 49 cent connection charge? F C m 49 m G C m 49 m H C m 49 m J C m 49 m. Solve 0 x 1 4 4x 1. A x 1.15 C x 1.5 B x 1.5 D x Which set of points could NOT represent a linear function? F { 1, 10, 4, 8.5, 10, 5.5, 1, 4 } G {, 5, 0, 5.1,, 5., 4, 5. } H {, 1, 1,, 5, 5, 11, } J { 1,,, 1, 5,,, 11 } 9. What is the y-intercept of the line x 5y 8? A 5.6 C 5.6 B 0.4 D A line has slope 5 and passes through 1, 6. Which of these points is also on the line? F 0, 11 G 10, 1 H 9, 1 J 5, Which is the equation of the line perpendicular to x 4y 9 and passing through,? A 4x y 1 C x 4y 6 B 4x y 1 D x 4y Solve 10 4x 6. F { x 1 x 4 } H No solution G { x x 1 or x 4 } J All real numbers 1. Alfred leaves a truck stop, heading east on Highway 9 at 5 miles per hour. Bianca leaves 1 minutes later and travels at 40 mph. How long does it take Bianca to overtake Alfred? A 1 minutes C 0 minutes B 15 minutes D 4 minutes 14. Solve { x 5y 5x 4y 8. F 4, H 9, 5 G 8, J 14, Holt Algebra

2 15. Tickets to a high school musical are $4.50 for adults and $.50 for students. If a total of 0 tickets are sold for $85, how many student tickets were sold? A 95 C 15 B 105 D On a feasible region whose vertices are { 0, 0, 1, 1, 5, 8, 8,, 9, 0 }, what is the maximum of the objective function P 6x 4y, and where does it occur? F 54 at 9, 0 G 60 at 8, H 6 at 5, 8 J 64 at 8, 1. Which ordered triple represents the point that is 4 units left from the origin, units down from the origin, and 5 units backward along the x-axis from the origin? A 5,, 4 B 5,, 4 C 5, 4, D 5, 4, { x y z The system x y 4z 60 4x y 6z 80 F inconsistent, with no solutions. G dependent, with infinitely many solutions. H independent, with one solution. J dependent, with one solution. 19. If C 1 evaluate C D. A B and D C D is 1, If a 1, evaluate A. F 9 4 H 1 4 G 9 4 J ABC has vertices A, 1, B 5,, and C, 4. What are the coordinates of the image of ABC after it has been rotated using the rotation matrix ? A A, 1, B 5,, C, 4 B A 1,, B, 5, C 4, C A 1,, B, 5, C 4, D A 1,, B, 5, C 4,. Which matrix is the inverse of 4 6 5? F G in reduced row-. What is echelon form? A H J C B Three friends are playing a game with red, blue, and green chips. Each color has a different value. The matrix D represents the chip count and the total value of each player s chips. How much would a hand consisting of one of each color chip be worth? F 8 H 10 G 9 J Holt Algebra

3 5. Find the minimum or maximum of g x x 10x 9. A maximum of 9 C minimum of 9 B maximum of.5 D minimum of.5 6. Write a quadratic function in standard form having zeros of and. F f x x 8x G g x x 8x H h x x 10x J j x x 10x. Write f x x 6x 11 in vertex form. A a x x B b x x 11 C c x x D d x x What are the solutions to x 6x 1 0? F i G i H i J 1 i 9. Henry throws a tennis ball over his house. The ball is 6 feet above the ground when he lets it go. The quadratic equation that models the path of the ball is p x 16 t 46t 6. How long does it take for the ball to hit the ground? A seconds B seconds 0. Simplify 8 i 1 i. F 6 5 G i C 4.5 seconds D 6 seconds 1 5 i H 8 i J 8 i. Solve 4 x F i H i G i J i. Which is equal to r t 4? A 81 r 4 t 4 B 81 r 4 r t 9 r t rt t 4 C 81 r 4 81 r t 54 r t 9 rt t 4 D 81 r r t 54 r t 1 rt t 4 4. Which is not a factor of x 4 x 1 x 9x 0? F x 1 H x 4 G x 1 J x 5 5. If and are two of the roots of a fourth-degree polynomial with integer coefficients, what is the product of the other two roots? A 4 C 4 B 6 D 6 6. Which lists all the roots of x 4 x 6? F {, } H {, i } G {, i } J { i, i }. If A x is a cubic function with a positive leading coefficient, B x is a linear function with a negative leading coefficient, and C x is the product of A x and B x, which could be the graph of C x? A C 1. Simplify i 5 4. A 6 B i 6 C 6 D i 6 B D 14 Holt Algebra

4 8. If f x x x x and g x is a translation of f x one unit to the left, which of the following is equal to g x? F x x 11x 6 G x x 11x H x 5 x x 1 J x 5 x x 4 9. Which mononomial has the highest degree? A a b c d C 9 abc B a 5 b c D 9 a Simplify x 4 x x. x F x 1 x 1 H x 4x G x x 1 J x 4 x x The human population of Earth was approximately 6 billion in If the rate of population growth from then on was.% per year, what would be the best approximation for the human population (in billions) of Earth in 00? A P t B P t 6 1. C P t D P t Which is the inverse of f x x 1? F f 1 x l og x 1 G f 1 x lo g x 6 H f 1 x l og x J f 1 x l og x Evaluate l og 0.5. A B C D 44. Which is equal to lo g 9 lo g 9 8? F log 4 H log 10 log 9 log 9 G log Solve x A 1 B J log 10 C D 46. What is the sum of the solutions of the equation lo g 9 x 1 lo g 9 6x 1? F 4 G H 8 J There is no solution. 4. Which of the following functions is an example of exponential growth? A a x x B b x 0.86 x.4 C c x 1.x 0.5 D d x x 48. Which expression is equivalent to ln e x x? F ln e x x G x ln x H x J x ln x 144 Holt Algebra

5 Answer Key 1. 4 and Performance Assessment 1. P 0 P 0 e rt ; P 0 P 0 e 1r. P 0 P 0 e 1r ; ln ln e 1r ; r ln P 0 P 0 e rt ; P 0 P 0 e 0.056t 4. P 0 P 0 e 0.056t ; ln ln e 0.056t ; t ln If it takes 1 hours to double, it would take 4 hours to quadruple, so for tripling, the answer should be somewhere between 1 and 4, and probably not too far from B. H. B 4. G 5. A 6. F. C 8. J 9. A 10. H 11. B 1. J 1. C 14. F 15. B 16. H 1. B 18. H 19. B 0. J 1. C. H. C 4. H 5. B 6. F. A 8. G 9. B 0. G 1. A. H. D 4. G 5. A 6. H. D 8. J 9. B 40. G 41. A 4. G 4. A 44. G 45. A 46. F 4. A 48. J 1 Holt Algebra