MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1 1 The average speed on a round - trip commute having a one - way distance d is given by the complex rational expression 2d d r 1 d

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) 1) The average speed on a round - trip commute having a one - way distance d is given by the complex rational expression 2d d r 1 + d r 2 , in which r 1 and r 2 are the speeds on the outgoing and return trips, respectively. Fred and Michael both drove to campus averaging 35 miles per hour and each returned home on the same route he used going and averaged 40 miles per hour. Fred's one - way route was 5 miles longer than Michael's. Simplify the complex rational expression and answer the question: How does Fred's overall average speed compare with Michael's? A) Not enough information is given to answer the question. B) Fred's average speed is the same as Michael's. C) Fred's average speed is lower than Michael's. D) Fred's average speed is higher than Michael's. Factor completely, or state that the polynomial is prime. 2) x 2 y - 36 y + 144 - 4 x 2 2) A) (y - 4 )(x + 6 )(x - 6 ) B) (y + 4 )(x + 6 )(x - 6 ) C) (y - 4 )( x 2 + 36 ) D) prime Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 3) 3) - 27.4 and 16.3 A) | - 27.4 - 16.3 | = 43.7 B) | 16.3 - ( - 27.4 )| = - 11.1 C) | - 27.4 + ( - 16.3 )| = 11.1 D) | 16.3 + ( - 27.4 )| = - 43.7 Factor by grouping. Assume any variable exponents represent whole numbers. 4) 5 x 3 - 10 x 2 + 8 x - 16 4) A) (x - 2 )( 5 x 2 - 8 ) B) (x - 2 )( 5 x 2 + 8 ) C) (x - 2 )( 5 x + 8 ) D) (x + 2 )( 5 x 2 + 8 ) Perform the indicated operations. 5) ( 9 x 4 y 2 + 5 x 3 y + 6 y) - ( 11 x 4 y 2 + 10 x 3 y + 2 y + 4 x) 5) A) - 2 x 4 y 2 - 5 x 3 y + 4 y - 4 x B) - 2 x 4 y 2 - 5 x 3 y + 4 y + 4 x C) 20 x 4 y 2 + 15 x 3 y + 8 y + 4 x D) - 2 x 4 y 2 + 5 x 3 y + 4 y - 4 x 1 Chapter 0 Algebra and Trigonometry, 5e Robert Blitzer (Test Bank All Chapters, 100% Original Verified, A+ Grade) Answers At The End Of Each Chapter 1 / 4

Simplify the complex rational expression. 6) x 7 - 1 x - 7 6) A) - 7 B) 7 x - 7 C) x - 7 D) 1 7 Multiply or divide as indicated. 7) 4 x 2 + 3 x - 10 8 x - 72 · x 2 - 9 x 16 x 2 - 25 ÷ 7 x + 14 5 x 3 7) A) 5 x 3 56 ( 4 x + 5 ) B) 7 (x + 2 ) 2 40 x 2 ( 4 x + 5 ) C) 5 x 4 56 ( 4 x + 5 ) D) 56 5 x 4 ( 4 x + 5 ) 8) x 2 - 19 x + 84 x 2 - 12 x + 27 · x 2 - 9 x + 18 x 2 - 11 x + 28 8) A) (x - 12 )(x - 6 ) (x - 9 )(x - 4 ) B) ( x 2 - 19 x + 84 )( x 2 - 9 x + 18 ) ( x 2 - 12 x + 27 )( x 2 - 11 x + 28 ) C) (x + 12 )(x + 6 ) (x + 9 )(x + 4 ) D) (x - 12 ) (x - 4 ) Add or subtract as indicated. 9) x - 8 x - 3 - 2x + 5 x - 3 9) A) x - 13 x - 3 B) - x - 13 x - 3 C) - x + 13 x - 3 D) x + 13 x - 3 Simplify the exponential expression. 10) ( 8 x 7 ) - 2 10) A) 64 x 14 B) 64 x 14 C) 1 8 x 14 D) 1 64 x 14 Evaluate the algebraic expression for the given value or values of the variable(s). 11) 11) 4 (x + 8 ) + 17 ; x = - 15 A) - 11 B) 105 C) - 71 D) 11 2 2 / 4

Solve the problem. 12) 12) Write an expression for the area of the shaded region and express it in factored form. 9 9 9 9 5 y 9 9 9 9 5 y A) ( 5 y + 9 )( 5 y - 9 ) B) ( 5 y - 9 ) 2 C) ( 5 y - 18 ) 2 D) ( 5 y + 18 )( 5 y - 18 ) 13) The formula v = 2.5r models the safe maximum speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature, r, in feet. A highway crew measures the radius of curvature at an exit ramp as 360 feet. What is the maximum safe speed? 13) A) 30 miles per hour B) 27 miles per hour C) 35 miles per hour D) 36 miles per hour Add or subtract as indicated. 14) 2 x 2 - 3x + 2 + 7 x 2 - 1 14) A) 28 x - 12 (x - 1)(x + 1)(x - 2) B) 9 x - 12 (x - 1)(x - 2) C) 12 x - 9 (x - 1)(x + 1)(x - 2) D) 9 x - 12 (x - 1)(x + 1)(x - 2) List all numbers from the given set B that are members of the given Real Number subset. 15) B = { 14 , 5 , - 11 , 0, 1 2 , 25 , 0. 8 , 0.44 } Irrational numbers 15) A) 5 , 25 , 0.44 B) 5 C) 5 , 25 , 0. 8 D) 5 , 0. 8 Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 16) 16) 88 and - 92 A) | - 88 + ( - 92 )| = 4 B) | 88 + ( - 92 )| = - 4 C) |( - 92 ) - 88 | = - 180 D) | 88 - ( - 92 )| = 180 Find the product. 17) ( 2 + 11 x) 2 17) A) 4 x 2 + 44 x + 121 B) 4 + 44 x + 11 x 2 C) 4 + 44 x + 121 x 2 D) 4 + 121 x 2 3 3 / 4

Simplify the exponential expression. 18) 3 x 3 y 2 - 3 18) A) 27 y 6 x 9 B) 27 x 9 y 6 C) y 2 27 x 9 D) y 6 27 x 9 Rewrite the expression without absolute value bars. 19) 19) | - 19 | A) - 19 B) 38 C) 19 D) 0 Simplify by reducing the index of the radical. 20) 8 25 x 2 20) A) 1 625 x B) 4 5 x C) 5 4 5 x D) 5 x Evaluate the algebraic expression for the given value or values of the variable(s). 21) 21) 7 x - 6 ; x = - 2 A) 8 B) - 8 C) 20 D) - 20 Add or subtract as indicated. 22) 5 x x 2 - 5 x + 6 - 10 x 2 - 5 x + 6 22) A) 5 (x - 2 ) (x + 2 )(x - 3 ) B) 5 (x + 2 ) (x - 2 )(x - 3 ) C) 5 x - 3 D) 5 x - 2 Write the number in scientific notation. 23) 23) 8,546,930 A) 8.54693 × 10 1 B) 8.54693 × 10 - 6 C) 8.54693 × 10 6 D) 8.54693 × 10 7 Evaluate the radical expressions or indicate that the root is not a real number. 24) 3 ( 2 ) 3 24) A) 2 B) 8 C) - 2 D) not a real number Simplify the exponential expression. 25) ( 2 3 ) - 4 25) A) - 24 B) - 32 C) 1 4096 D) 1 128 4

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