MATH98 Intermediate Algebra Practice Test Form A

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1 MATH98 Intermediate Algebra Practice Test Form A MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) (y - 4) - (y + ) = 3y 1) A) - B) - 3 C) D) - 3 Objective: (.3) Solve Equation with Parentheses Solve the problem. ) Two pages that face each other in a book have 441 as the sum of their page numbers. What is the number of the page that comes first? A) 1 B) 19 C) 18 D) 0 Objective: (.4) Solve Apps: Consecutive Integers Find the measure of each marked angle. 3) ) 3) (x + ) (4x - 14) A) 66 and 114 B) 64 and 116 C) 68 and 11 D) 66 and 4 Objective: (.5) Find Measure of Angle Solve the formula for the specified variable. 4) A = 1 bh for b 4) A) b = A h B) b = A h C) b = h A D) b = Ah Objective: (.5) Solve Formula for Variable 1

2 Solve the equation. 4x - 5) 6 = 3x ) A) - 5 B) - 13 C) 5 17 D) Objective: (.6) Solve Proportion Find the perimeter of the geometric figure. 6) 6) 9x + 9x x - 6x + 11 A) 36x + 6x + 30 B) 18x + 3x + 30 C) 36x + 6x + 60 D) 7x + 1x + 30 Objective: (5.1) Find Perimeter of Geometric Figure Find the product. 7) (3x + 5)(x - 5) 7) A) x - 5x - 10 B) x - 10x - 30 C) 3x - 10x - 5 D) 3x - 30x - 5 Objective: (5.3) Find Binomial Product Using FOIL Method Perform the division. Write the answer with positive exponents. -1x6 + 30x5-18x4 8) -6x 5 8) A) 5x - 5 B) x + 30x x C) x - 5 D) x x Objective: (5.6) Divide Polynomial by a Monomial Factor out the greatest common factor. 9) 5x(6x - 5) - 4(6x - 5) 9) A) (5x - 4)(6x - 5) B) (5x + 4)(6x + 5) C) (30x + 4)(x + 5) D) (30x - 4)(x - 5) Objective: (6.1) Factor Out Greatest Common Factor Fall010

3 Factor completely. 10) 7x - 7x ) A) (7x + 14)(x - 3) B) 7(x - )(x + 3) C) 7(x + )(x - 3) D) Prime Objective: (6.) Factor Trinomial in One Variable Factor. 11) 5x ) A) (5x + 6) B) (5x - 6) C) Prime D) (5x + 6)(5x - 6) Objective: (6.5) Factor Difference of Two Squares 1) x - 16xy + 64y 1) A) (x + 8y) B) Prime C) (x - 8y) D) (x - 8y)(x + 8y) Objective: (6.5) Factor Perfect Square Trinomial Solve the equation. 13) (9y + 0)(6y + 19) = 0 13) 0 A) 9, 19 B) , C) - 0 9, D) {11, 13} Objective: (6.7) Solve Factored Equation by Zero-Factor Property 14) x - x = 6 14) A) {1, 6} B) {-, 3} C) {, 3} D) {-, -3} Objective: (6.7) Solve Quadratic Equation by Factoring I 15) 1n + 63n = 0 15) A) - 3, 0 B) - 3, 63 C) {0} D) - 3 Objective: (6.7) Solve Quadratic Equation by Factoring I Solve the problem. 16) The length of a rectangular frame is 3 cm more than the width. The area inside the frame is 180 square cm. Find the width of the frame. A) 18 cm B) 13 cm C) 15 cm D) 1 cm Objective: (6.8) Solve Apps: Geometry II 16) 3 Fall010

4 Find all numbers not in the domain of the function. x ) f(x) = x + 4x - 45 A) -9, 5 B) 0 C) 9, -5 D) 7, -7 Objective: (7.1) Find Numbers Not in Domain 17) Express the rational expression in lowest terms. (y + 9)(y - 3) 18) (y - 3)(y + 7) 18) A) y - 9 y - 7 B) y + 3 y + 4 C) y - 3 y + 4 D) y + 9 y + 7 Objective: (7.1) Write Rational Expression in Lowest Terms 19) 3x x + 6x ) A) 3x 5x + B) 3x + 5 5x + 6 C) 1 5x + D) 3x x + 6x + 8 Objective: (7.1) Write Rational Expression in Lowest Terms Perform the indicated operation and express in lowest terms. 8p - 8 0) 9p - 9 p 3p A) 8p 3 C) 4p 3-4p 9p - 9p B) 7p + 144p + 7 3p3 D) 3 8p 0) Objective: (7.1) Multiply or Divide Rational Expressions I 1) x x x + 5x + 4 1) A) x - 4 (x - 4)(x + 4)(x + 1) B) x + 4x + 0 (x - 4)(x + 4)(x + 1) C) x - 4x + 0 (x - 4)(x + 4) D) x - 4x + 0 (x - 4)(x + 4)(x + 1) Objective: (7.) Add or Subtract Rational Expressions I 4 Fall010

5 Solve the formula for the specified variable. ) P = A for r ) 1 + rt A) r = A - P Pt B) r = P - ta C) r = P - A 1 + t Objective: (7.5) Solve Formula for Specified Variable D) r = P - 1 At Solve the problem. 3) If a boat uses 15 gallons of gas to go 71 miles, how many miles can the boat travel on 45 gallons of gas? A) 46 miles B) 13 miles C) 3 miles D) 33 miles Objective: (7.5) Solve Apps: Use Proportions 4) If 3.5 ounces of oil are to be added to 14 gallons of gasoline, then how many ounces of oil should be added to 9. gallons of gasoline? A) 7.5 ounces B) 7. ounces C) 7.3 ounces D) ounces Objective: (7.5) Solve Apps: Use Proportions 3) 4) Solve the inequality, giving its solution set in both interval and graph forms. 5) -x 18 5) A) (-, -9] B) [-9, ) C) [9, ) D) (-, -9) Objective: (8.1) Solve and Graph Inequality I 5 Fall010

6 6) -6 < -3z 6 6) A) (-, ] B) (-, ] C) [-, ) D) [-, ) Objective: (8.1) Solve and Graph Three-Part Inequality For the compound inequality, give the solution set in both interval and graph forms. 7) x and x 5 7) A) (-, 5] B) [, ) C) [, 5] D) (-, ] [5, ) Objective: (8.) Solve and Graph Compound Inequality (And) 8) x - 1 > 1 or x + 3 < 8) A) (-, 1) (, ) B) (-, ) C) (-, -1) (, ) D) (-1, ) Objective: (8.) Solve and Graph Compound Inequality (Or) 6 Fall010

7 Choose the absolute value equation or inequality which matches the graph. 9) 9) A) r < 4 B) r = 4 C) r 4 D) r 4 E) r > 4 Objective: (8.3) Match Absolute Value Equation or Inequality with Graph Solve. 30) b - 3 = 7 30) A) {10} B) {-10, 4} C) {10, -4} D) Objective: (8.3) Solve Absolute Value Equation Simplify the expression involving rational exponents. 31) 511/3 31) A) 4 B) 4096 C) 8 D) 1,88 Objective: (9.) Simplify Expression with Rational Exponent I Simplify the radical. Assume that all variables represent positive real numbers. 1 3) x8 3) A) x B) x C) x D) x Objective: (9.3) Simplify Radical by Using Smaller Index Find the missing length in the right triangle. Simplify the answer if necessary. 33) 33) 16 c 1 A) c = 7 B) c = 14 C) c = 0 D) c = 4 7 Objective: (9.3) Find Unknown Length in Right Triangle Multiply, then simplify the product. 34) ( 5 + 1)( 5-1) 34) A) 6 B) 4-5 C) 4 D) Objective: (9.5) Multiply Radical Expressions Using FOIL 7 Fall010

8 Rationalize the denominator. Assume that all variables represent positive real numbers. 7a 35) A) 49a B) 11 C) 7a D) 7a 35) Objective: (9.5) Rationalize Denominator (Index = ) Multiply. 36) (4 + 3i)( - 4i) 36) A) 0-10i B) i C) -1i - 10i + 8 D) -4 + i Objective: (9.7) Multiply Complex Numbers Find the power of i. 37) i1 37) A) -i B) i C) 1 D) -1 Objective: (9.7) Find Power of i Solve the equation. 38) x = 9 38) A) {3, -3} B) {4.5} C) {4, -4} D) {3} Objective: (10.1) Solve Equation Using Square Root Property Use the quadratic formula to solve the equation. 39) p + 3p - 9 = 0 39) A) C) , Objective: (10.) Solve Equation by Completing the Square B) D) { , } Use the discriminant to determine whether the solutions for the equation are two rational numbers, one rational number, two irrational numbers, or two nonreal complex numbers. Do not actually solve. 40) s - 6s - 7 = 0 40) A) two nonreal complex numbers B) two rational numbers C) one rational number D) two irrational numbers Objective: (10.3) Use Discriminant to Find Type and Number of Solutions 8 Fall010

MATH98 Intermediate Algebra Practice Test Form B

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