MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
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1 Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Rationalize the denominator and simplify. 1 1) B) C) 1 D) 1 ) Identify the pair of like radicals. ) - y and y B) t and 8t C) x and x D) m m and m ) Use the multiplication property of radicals to simplify the expression. 8 1 B) 19 C) 9 D) 8 ) Simplify the expression using the properties of rational exponents. Assume the variables represent positive real numbers. x -/ y -/ 1 ) ) x16 y 9 B) y 9 x 16 C) x8 y 6 D) y6 x 8 ) Evaluate the square root, if possible not a real number B) 0.9 C) -0.9 D) 0.9 and -0.9 ) 6) Identify the pair of like radicals. 6) and B) - and 8 C) - 0 and 8 D) 8 and 16 1
2 ) Solve the equation. 6t = 6t + t - 0 no solution B) t = 0 C) t = 0 D) t = 6 and t = -6 ) 8) Simplify the expression. Assume the variable represents a positive real number. x 8) x 1 B) x C) x D) x 9) How tall is a radio tower if a 100 foot cable anchored to the ground 0 feet from its base reaches the top of the tower when taut? Round your answer to one decimal place. 10. feet B) 0 feet C) 9. feet D) 81 feet 10) The total number of people, P, in one city that have fallen for a telemarketing scam is approximated by the formula P = 1, ,00x where x is the number of days since a newspaper article exposed the scam. How many additional people fell for the scam the first day after the article? Round your answer to the nearest integer. 1,06 B) 1 C) 1,00 D) ) Use the multiplication property of radicals to simplify the expression B) 1 C) 9 D) 6 1) Write the expression using rational exponents rather than radical notation. Assume the variables represent positive real numbers. (-ab) 9) 10) 11) 1) (-ab) / B) -ab / C) -ab / D) (-ab) / 1) Translate the sentence into an equation. The product of and the difference of 1 and the cube root of a number is 1. (1 - x) = 1 B) x - 1 = 1 C) (1 - x) = 1 D) 1 - x = 1 1)
3 1) The annual rate of return, r, on an initial investment of P dollars is given by 1) r = A P 1/t -1 where A is the current value and t is the number of years since the money was invested. Find the annual rate of return on a $1,000 investment that grew to $1,000 after 10 years. Write your answer as a percent, and round to two decimal places..0% B).8% C) 0.0% D).6% 1) Simplify the cube root ) 8 1 B) C) 1 D) ) Solve the equation. -z + - z + 0 = 0 16) z = 111 B) z = - 1 C) z = -1, z = D) z = - 1 1) Simplify the cube root. 9 1) 6,89 B) 9 6 C) 9 D) 9 18) Multiply the expressions. Assume the variable represents a positive real number. 6( x + x 1) 6x + x 1 B) 6x + x 10 C) 1 x + x 10 D) ( + x) x ) Add the expressions, if possible B) 0 0 C) D) ) 19) 0) Multiply the expressions. Assume the variables represent positive real numbers. 6x 6 y 10xy 6 0) 16x y 1xy B) 16 1x y 9 C) x y 1xy D) xy x y
4 1) Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial. x + 10x + n n = ; (x + ) B) n = 100; (x + 10) C) n = ; (x + )(x - ) D) n = ; (x - ) 1) ) Choose any method to solve the quadratic equation. 6y + = -y ) +, - B) , C) - 9, 1 D) There are no real-valued solutions. ) Solve the equation by using the quadratic formula. 1y y = 0, 1 B) 1, C) There are no real-valued solutions. D) -, 1 ) ) Determine the domain and range of the relation. {(, 1), (9, 6), (, ), (-8, ), (9, 9), (, )} Domain {, 9,, -8); range {1, 6,,, 9, } B) Domain {, 9,, -8}; range {1, 6,,, 9} C) Domain {, 9,, -8, 9, }; range {1, 6,,, 9, } D) None of the above ) Solve the equation by using the quadratic formula. x + x + = 0 - ± 1 B) - ± C) - ± D) - ± 1 ) ) 6) Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial. j - 6j + n n = 9; (j - ) B) n = 9; (j - ) C) n = ; (j - ) D) n = ; (j + ) 6)
5 ) Solve the equation by using the square root property. a - = 1 ) B) 1 C) 1, - 1 D) 1, 8) A model rocket is launched from a raised platform at a speed of 18 feet per second. Its height in feet is given by y = -16t + 18t + 0 (t = seconds after launch). 8) a. After how many seconds does the object reach its maximum height? b. What is the maximum height reached by the rocket? a. 6 seconds; B) a. 8 seconds; C) a. ; b. 1 ft b. 0 ft b. 1 ft D) a. seconds; b. 6 ft 9) Solve the equation by using the square root property. t = -1 ±1 B) 1 C) There are no real-valued solutions. D) 1 0) Solve the equation by using the square root property. (x + ) = ±6 B) - ± C) ± D) ± 6 9) 0) 1) What is the principal square root of 1? 1) 1 B) -1 C) -1 and 1 D) not a real number ) Convert the expression to radical notation. Assume the variable represents a positive real number. 18z / ) 18 z B) 18z C) 18 z D) (18z) ) Multiply the radical expressions. Assume the variable represents a positive real number. ( + x)( - x) - x B) + x C) + x D) - x ) Subtract the expressions, if possible B) 10 C) D) ) )
6 ) Simplify the expression. Assume the variable represents a positive real number. - 16y 81 ) - y8 9 B) y8 C) y8 9 D) - y8 6) Solve the equation by using the quadratic formula. 6) - = 1 6 x - x 1 10 ± B) - 1, 8 1 C) There are no real-valued solutions. D) -8, 9 0 ) Find the vertex of the parabola. y = -x + 16x - (16, -) B) (, 9) C) (0, -) D) (-, 1) ) 8) Evaluate the root, if possible. 6 8) not a real number B) C) - D) and - 9) Find the vertex of the parabola. y = x + 10 (0, 10) B) (10, 0) C) (, 10) D) (-10, 0) 0) Use the division property of radicals, if necessary, to simplify the expression. Assume the variable represents a positive real number. t t 9) 0) t B) t C) t D) t 6
7 Answer Key Testname: TESTPRACTICE 1) B ) A ) D ) B ) B 6) C ) B 8) A 9) C 10) D 11) D 1) D 1) A 1) B 1) C 16) B 1) C 18) B 19) A 0) A 1) A ) D ) D ) B ) A 6) A ) D 8) D 9) C 0) B 1) A ) A ) A ) A ) D 6) B ) B 8) B 9) A 0) B
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