MATH 111 TEST 2 (Sample) Chapters 4, 5 & Find f(-2) for f ( x) [A] -2 [B] 2 [C] 18 [D] 34 [E] None of the above. a b [E] None of the above.

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1 MATH 111 TEST (Sample) Chapters, & 6 1. Find f(-) for f ( x) = x x + x + x + - [C] 1. B simplifing ( b ) a b 1 1 [C] a the answer is: a b 1 a b a b 1. B simplifing x x 1. x. x x the answer is: [C] x x x x. B simplifing ( x ) ( x 1 ) the answer is: x 11 x 11 [C] x 11 x B simplifing x x x x 1 the answer is: x 16 1 x [C] 16 x 16 6 x Simplif the following and write our answer in scientific notation: [C]

2 7. Solve for x: 0.7x 0. = 0. and -0.x = 1. [C] -. The lines - x = x - = are: independent, consistent dependent, consistent [C] dependent, inconsistent independent, inconsistent 9. Find the value of for this sstem of equations: x - z = + z = -9 1 x + = 1 1 [C] -. B multipling ( x [ x ( x + )], the answer is: 7 7x + x x x x x + x x 7 7x x + [C] x x 11. The perimeter of a carpet is feet. The width is one-half the length. Find the width of the carpet?. 6 7 [C] 1. A salesperson purchased an automobile that was advertised as averaging 1 mpg in the cit and 0 mpg on the highwa. A recent sales trip that covered 0 miles required 0 gallons of gasoline. How man miles were driven in the cit? 00 [C] B solving for x & : x + = 7 and x = There is: 6 no solution one negative and one positive solution [C] positive solution negative solution. B factoring: x - 1x ; one of the factors is: (x + ) ( + ) [C] ( - x) ( - x)

3 Find one of the factors of: x x x x [C] 1 1 x + x Factor completel: 1x a ( 9x a 1) ( x a 1)( x a [C] ( x a 1)( x a ( 1)( x x 17. B factoring: x 9x + ; one of the factors is: (x + ) (x - ) [C] (x + ) (x + ) 1. B factoring: x + 7; one of the factors is: (x - ) (x + 9) [C] (x - x + 9) (x + x + 9) 19. The length of a rectangle is feet more than its width. If the width is increased b feet and the length is decreased b feet, the area becomes 0 square feet. Find the original length..(area of rectangle is base multiplied b height) [C] 6 0. B factoring: 6x - 9x ; one of the factors is: (x - ) ( - ) [C] ( - x) ( - x) 1. B factoring: x + x + x + ; one of the factors is: (x - ) (x + ) [C] (x + ) (x + ) 6. B factoring : x + x ; one of the factor is: (x ) (x ) + + [C] (x ) (x )

4 . Solve for x: 6x 7x =, one of the solutions is: -/6 -/ [C] /6-1. B factoring: x + ; one of the factors is: (x + ) (x - ) [C] (x (x + ). B factoring: x + 7; one of the factors is: (x - ) (x + ) [C] (x - 6x + 9) (x + 6x + 9) 6. B factoring: x + x - x - ; one of the factors is: (x - ) (x + ) [C] (x - ) (x + ) 7. B solving for x: 9x + 1x + = 0; one of the solutions is: / 1/ [C] -/ -/. Find three consecutive positive integers such as the product of the first and the third minus the second is 1 more than ten times the third. One of the integers is: 1 [C] 9 9. B completel factoring: x - ; one of the factors is: (x - ) (x + ) [C] (x - ) (x ) 0. B factoring: x + 6x ; one of the factors is: (x + + ) (x - + ) [C] (x + + ) (x - - ) 1. In dividing (9x x + ) b (x - 1); the remainder is: 1 [C] 0. In dividing ( b ( - ); the remainder is: 0 0 [C] 1

5 . In a certain medical test designed to measure carbohdrate tolerance, an adult drinks 7 ounces of a 0% glucose solution. When the test is administered to a child, the glucose concentration must be decreased to 0% b adding water. How much water should be used to prepare 7 ounces of 0% glucose solution?.67. [C].67.. A silversmith has two allos, one containing % silver and the other 60% silver. How much of the % should be melted to obtain 0 grams of an allo containing 0% silver? 0 60 [C] Two cars are 0 miles apart, start driving toward each other at the rates of 0 mph and 60 mph, respectivel. When the meet, how far will the slower car have traveled? 00 [C] 0 6. An airplane, fling with a tail wind, travels 00 miles in hours. The return trip, against the wind, takes. hours. Find the speed of the wind (assume that both rates are constant). 0 0 [C] B solving for x: 6( x + ) + 7( x + ) = 0 ; one of the solutions is: -/ 1/ [C] -/ 1/. A small furniture compan manufactures sofas and recliners. Each sofa requires hours of labor and $60 in materials, while a recliner can be built for $ in 6 hours. The compan has 0 hours of labor available each week and can afford to bu $0 worth of materials. How man recline can be produced if all labor hours and all materials must be used? 0 0 [C] 0 9. B solving for x: x + x x 1= 0 ; one of the solutions is: 1/ [C] -1/ - 0. The base of a triangle is feet more than its height. If the base is increased b feet and the height is decreased b 1 feet, the area becomes 0 square feet. Find the original dimensions of the height.(area of 1 1 triangle = (base).( height) = b. h ) [C] 7