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Practice Final Exam Math 075 1) 4 1 5 ( - )= 7 2 6 A) 1 4 4 3 ; B) ; C) ; D) 2 7 21 25 a b2 2) Evaluate if a = - 3, b = 2, c = -4 c ab A) 1 1 7 7 ; B) ; C) ; D) 2 10 2 10 3) Solve for x: 3 – 2(x – 5) + 7 = 4x – 9 A) 11 3 6 29 ; B) ; C) ; D) 3 2 29 6 4) Solve for x: A) x 1 3x - = +1 2 3 5 40 40 40 11 ; B) ; C) ; D) 9 9 3 3 5) Solve for x: 2c – x = 4x + c – 5b A) c 5b 3c 5b c 5b ; B) -4x + c + 5b; C) ; D) 5 5 5 6) Kirk wants to get $72,000 for his house. The real estate agent gets a commission equal to 10% of the selling price for selling the house. What should the selling price be? A) $72,720; B) $80,720; C) $80,000; D) $79,200 7) Solve for x: -2 < 6 3x 5 3 A) 4 > x -3; B) 4 x > 3; C) -4 x < 3; D) 4 < x 3 8) The correct graph for -2 < x 3 is: 1 A) [--------) B) (--------) -2 3 -2 3 C) [--------] -2 3 D) (--------] -2 3 9) The correct graph for 2x – 3y = 6 is a straight line through: A) (-3,0) and (0,-2) C) (3,0) and (0,2) B) (-3,0) and (0,2) D) (3,0) and (0,-2) 10) Write the equation 4x – 5y = 20 in slope-intercept form. A) y = 4 x + 4; 5 5 y + 5; 4 B) x = C) y = -4x + 20; D) y = 4 x–4 5 11) Find the slope and y-intercept of the line whose equation is y= A) 1 ; (0,1) 3 1 x–1 3 1 ; (0,-1) 3 B) C) 1 ; (0,-1) 3 D) 1 ; (0,1) 3 12) Write the equation of the line passing through (0,6) and perpendicular to the line 2 having equation y = x + 5. 3 A) y = 2 x–6 3 B) y = 3 x–6 2 C) y = 3 x+6 2 D) y = 2 x+6 3 13) If a child’s foot is 7.75 inches long, then the child wears a size 13 shoe. If the child has a foot that is 5.75 inches long, then the child wears a size 7 shoe. The shoe size, S, is a linear function of the length of the foot, L. Write a linear equation expressing S as a function of L. A) S = 3L + 10.25 C) S = 1 L – 10.25 3 B) S = 3L – 10.25 D) S = -3L – 10.25 14) y varies inversely as w, and y = 9 when w = 2. Find y when w = 6. A) 27 B) -3 C) –27 D) 3 15) Find the product: (3x – 2)(4x 2 - 6x + 1) 2 A) 12x 3 - 26x 2 + 15x – 2 C) 12x 4 - 26x 3 + 15x 2 + 2x B) 12x 3 - 26x 2 + 15x + 2 D) 12x 3 - 10x 2 - 9x + 2 16) Simplify. Answer will have no negative exponents. ﴾ x 6 y 4 1 ﴿ x 3 y 4 A) x 9 B) y8 x9 1 x9 C) D) x9 y8 17) If 9x 2 + 24xy – 9y 2 is completely factored, one factor is (x + 3y). The other factor(s) are: A) (3x + y) B) 3(3x – y) C) 3(x – 3y) D) (3x – y) 18) The only positive number solution of 3x 2 - 5x – 2 = 0 is: A) 2 B) 2 3 C) 1 D) 1 3 19) Solve for x: 3x – 3x =1 A) All real numbers 20) Reduce to lowest terms: A) x3 7 B) x3 7 B) No solution C) 1 3 D) 7x 9 14 D) 0 3x 2 18 x 27 21x 63 x 2x 9 7 C) 21) Which number(s) cannot be used in place of y in the expression: 2y 1 y y6 2 A) -2,3 B) 2,-3 C) 1 ,3 2 3 D) 0 22) Perform the indicated operation. Reduce the answer to lowest terms: 5 3 4 + 2 3a 9 2 a a 3a A) a3 6a ( a 3) 23) Solve for x: A) 3 B) 51 6(a 3) C) a + 51 D) a 51 6a ( a 3) 1 1 x2 + = x x3 x3 B) 1 C) No solution D) 3,1 24) The ratio of new shows to re-runs on cable TV is 2 to 27. If Frank counted only eight new shows one evening, then how many re-runs were there? A) 54 B) 108 C) Cannot determine from the information given D) 216 25) After a heavy snowfall, Brian can shovel all of the driveway in 30 minutes. If his younger brother Allen helps, the job takes only 20 minutes. How long would it take Allen to do the job alone? If x = the time it would take Allen to do the job alone, an appropriate equation to solve this problem would be: A) 2 20 + =1 3 x B) 2 x + =1 3 20 C) x x + =1 20 30 D) 30 + x = 20 Answers: 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) A B D C D C A D D D 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) B C B D A D B A B A 21) 22) 23) 24) 25) A D B B A Math 075 4