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MAT0024 PRACTICE TEST # 2 NAME _________________________________ INSTRUCTOR M.BEYLIN 10) r+ 6 r+ 8 = 5 7 11) 3 (y - 2) = 1 - 3y 5 Simplify the expression by combining like terms. 1) -4y + 3 - 6 + 5 + y - 2 Write the phrase as an algebraic expression and simplify if possible. Let x represent the unknown number. 2) The product of -20 and the sum of a number and 24. 3) One-half a number, minus ten, plus five times the number. 12) 0.01y + 0.10(6000 - y) = 0.41y 4) The sum of four times a number and 4, and six times a number and 1. 13) 6(x + 4) = (6x + 24) Simplify each side of the equation, if possible. Then solve the equation. 14) 1 1 1 (8x - 12) = 6 x +7 4 3 2 15) x x -2= 7 7 5) 10y = 2y + 4 + 7y Write the algebraic expression described. Simplify if possible. Substitute the given values into the formula and solve for the unknown variable. 1 16) A = (b + B)h; A = 102, b = 19, B = 15 2 6) In the race for Student Body President, Jose received 462 more votes than Angela. If Angela received x votes, how many votes did Jose receive? Solve the equation. Solve the formula for the specified variable. 17) S = 2πrh + 2πr2 for h 7) 6 = -4x + 10 Write the algebraic expression described. Simplify if possible. 18) V = 8) If x is the first of three consecutive integers, express the sum of 29 and the third integer as an algebraic expression in terms of x. 19) F = Solve the equation. 1 Bh for h 3 9 5 C + 32 for C 9) 13(5c - 6) = 8c - 6 20) P = 2L + 2W for L 1 Solve. Round to the nearest hundredth, if necessary. Solve the inequality. Write the solution set in interval notation and graph the solution set. 21) 4.3 is what percent of 17.3? 30) a - 5 < -1 22) 53 is 30% of what number? 23) 40% of what number is 63? 31) Solve the problem. x <2 -3 24) A college algebra class started the semester with 43 students. By midterms, 15 remained enrolled in the class. What percent of students dropped the algebra class? (Round to the nearest tenth of a percent if necessary.) Write the ratio in fractional notation in lowest terms. 25) 14 quarters to 13 dollars 32) -6(4y - 6) < -30y + 30 Solve the proportion. x+1 5 26) = 2x + 8 3 27) 5 7 = x + 2 2x Solve. 28) A can of lemonade comes with a measuring scoop and directions for mixing are 4 scoops of mix for every 40 cups of water. How much water is needed to make the entire can of lemonade if there are 40 scoops of mix? 29) On an architect's blueprint, 1 inch corresponds to 5 feet. Find the area of an actual room if the blueprint dimensions are 2 inches by 6 inches. 2 Answer Key Testname: 0024 EXAM2 REVIEW 1) -3y 2) -20(x + 24) 11 3) x - 10 2 32) (-∞, -1) -8 4) 5) 6) 7) 8) 10x + 5 4 (x + 462) votes 1 x + 31 24 9) 19 10) -1 11 11) 18 12) 13) 14) 15) 16) 1200 All real numbers No solution No solution 6 S - 2πr2 17) h = 2πr 18) h = 3V B 19) C = 5 (F - 32) 9 20) L = P - 2W 2 21) 22) 23) 24) 24.86% 176.67 157.5 65.1% 7 25) 26 26) 27) 37 7 14 3 28) 400 cups 29) 300 ft2 30) (-∞, 4) -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 31) (-6, ∞) -9 -8 -7 -6 -5 -4 -3 3 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6