MATH98 Intermediate Algebra Practice Test Form B MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) (y - 4) - (y + 9) = y 1) - 13 B) - 13 4 C) - 13 4 Objective: (.3) Solve Equation with Parentheses Solve the problem. ) Two pages that face each other in a book have 41 as the sum of their page numbers. What is the number of the page that comes first? 11 B) 09 C) 08 10 Objective: (.4) Solve Apps: Consecutive Integers Find the measure of each marked angle. 3) ) 3) (x + ) (4x - 137) 6 and 11 B) 63 and 117 C) 67 and 113 6 and Objective: (.) Find Measure of Angle Solve the formula for the specified variable. 4) A = 1 bh for b 4) b = A h B) b = A h C) b = h A b = Ah Objective: (.) Solve Formula for Variable 1
Solve the equation. 3x - 4 ) = 4x + ) - 1 B) - 9 C) 1 7 9 7 Objective: (.6) Solve Proportion Evaluate the polynomial. 6) x3-3x - 3for x = 3 6) - B) 13 C) -17-1 Objective: (.1) Evaluate Polynomial Use the power rules for exponents to simplify. Write the answer in exponential form. 7) 9 7 9 7) 9 7 9 7 B) 187 C) 63 63 16 16 Objective: (.) Use Power Rules to Simplify Find the product. 8) (4x - 9)(x + 6) 8) x - 4x + 1 B) x + 1x + 8 C) 4x + 1x - 4 4x + 8x - 4 Objective: (.3) Find Binomial Product Using FOIL Method Perform the division. Write the answer with positive exponents. 4x4 + 48x3 + 48x 9) 6x 3 9) 1x + 8 B) 7x + 48x 3 + 8 x C) 7x + 8 7x + 8 + 8 x Objective: (.6) Divide Polynomial by a Monomial Factor out the greatest common factor. 10) 48m9 + 84m6 + 48m 10) 1m (4m7 + 7m4 + 4) B) no common factor (except 1) C) m(48m7 + 84m4 + 48) 1(4m9 + 7m6 + 4m) Objective: (6.1) Factor Out Greatest Common Factor Fall010
11) x(3x - ) + 6(3x - ) 11) (x + 6)(3x - ) B) (x - 6)(3x + ) C) (1x - 6)(x + ) (1x + 6)(x - ) Objective: (6.1) Factor Out Greatest Common Factor Factor by grouping. 1) 14-7s - t + st 1) ( - s)(7 + t) B) ( - s)(7 - t) C) ( + s)(7 + t) ( + s)(7 - t) Factor completely. Objective: (6.1) Factor by Grouping 13) 8x - 8x - 48 13) (8x + 16)(x - 3) B) 8(x - )(x + 3) C) 8(x + )(x - 3) Prime Objective: (6.) Factor Trinomial in One Variable 14) 16x - 49 14) (4x + 7) B) (4x - 7) C) Prime (4x + 7)(4x - 7) Objective: (6.) Factor Difference of Two Squares Solve the equation. 1) (y + 3)(9y + ) = 0 1) 3, B) - 9 18, - 9 C) - 3, - 9 {18, 13} Objective: (6.7) Solve Factored Equation by Zero-Factor Property 16) 10n + 6n = 0 16) - 13, 0 B) - 13, 6 C) {0} - 13 Objective: (6.7) Solve Quadratic Equation by Factoring I 3 Fall010
Solve the problem. 17) A rectangle has a length of x + 3 and a width of x - 3, and has an area of 40 square units. Find the length and width of the rectangle. (A = LW) width = 4 units; length = 10 units B) width = 1 unit; length = 40 units C) width = units; length = 0 units width = units; length = 8 units Objective: (6.8) Solve Apps: Geometry I 18) The length of a rectangular frame is 6 cm more than the width. The area inside the frame is square cm. Find the width of the frame. 17 cm B) 7 cm C) 11 cm cm Objective: (6.8) Solve Apps: Geometry II 17) 18) Express the rational expression in lowest terms. x + 3 19) 10x + 1x + 9 C) x x + 3 1 x + 3 B) x + x + 1 x + 3 10x + 1x + 9 19) Objective: (7.1) Write Rational Expression in Lowest Terms Perform the indicated operation and express in lowest terms. p - 0) 3p - 3 p 8p 16p 3 C) 16p 3-16p 3p - 3p B) 6p + 1p + 6 8p3 3 16p 0) Objective: (7.1) Multiply or Divide Rational Expressions I 4 Fall010
1) x x - 16-4 x + x + 4 1) x - 3 (x - 4)(x + 4)(x + 1) B) x + 3x + 16 (x - 4)(x + 4)(x + 1) C) x - 3x + 16 (x - 4)(x + 4) x - 3x + 16 (x - 4)(x + 4)(x + 1) Objective: (7.) Add or Subtract Rational Expressions I Solve the problem. ) If 3. ounces of oil are to be added to 16 gallons of gasoline, then how many ounces of oil should be added to 37 gallons of gasoline? 7.6 ounces B) 7.3 ounces C) 7.4 ounces 18 ounces Objective: (7.) Solve Apps: Use Proportions 3) A boat goes 640 miles downstream in the same time it can go 60 miles upstream. The speed of the current is 6 miles per hour. Find the speed of the boat in still water. 10 mph B) 90 mph C) 84 mph 96 mph Objective: (7.) Solve Apps: Distance, Rate, Time II ) 3) For the compound inequality, give the solution set in both interval and graph forms. 4) x 3 and x 6 4) (-, 6] B) [3, ) C) [3, 6] (-, 3] [6, ) Objective: (8.) Solve and Graph Compound Inequality (And) Fall010
) x - 3 > 1 or x + 3 < ) (-, 1) (4, ) B) (-, 4) C) (-, -1) (4, ) (-1, ) Objective: (8.) Solve and Graph Compound Inequality (Or) Choose the absolute value equation or inequality which matches the graph. 6) 6) r < 18 B) r = 18 C) r 18 r 18 E) r > 18 Objective: (8.3) Match Absolute Value Equation or Inequality with Graph Solve. 7) b - = 7) {10} B) {-10, 0} C) {10, 0} Objective: (8.3) Solve Absolute Value Equation Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation. 8) x + 1-7 = 8) no solution B) 8 C) -8, 10-10, 8 Objective: (8.3) Isolate Absolute Value Expression and Solve Equation or Inequality 6 Fall010
Simplify the expression involving rational exponents. 9) 11/3 9) 4 B) 4096 C) 8 1,88 Objective: (9.) Simplify Expression with Rational Exponent I Simplify the radical. Assume that all variables represent positive real numbers. 30) 1 x8 30) 4 3 4 x B) x C) x x Objective: (9.3) Simplify Radical by Using Smaller Index Find the missing length in the right triangle. Simplify the answer if necessary. 31) 31) 16 c 1 c = 7 B) c = 14 C) c = 0 c = 4 7 Objective: (9.3) Find Unknown Length in Right Triangle Multiply, then simplify the product. 3) ( 11 + 1)( 11-1) 3) 1 B) 10-11 C) 10 10 + 11 Objective: (9.) Multiply Radical Expressions Using FOIL Rationalize the denominator. Assume that all variables represent positive real numbers. 6a 33) 36a B) 31 C) 6a 6a 33) Objective: (9.) Rationalize Denominator (Index = ) Write the number as a product of a real number and i. Simplify the radical expression. 34) -81 34) 9i B) ± 9 C) i 9-9i Objective: (9.7) Write Radical in Terms of i 7 Fall010
Multiply. 3) (6 + i)( - 7i) 3) 6-38i B) 6 + 38i C) -14i - 38i + 1 - + 46i Objective: (9.7) Multiply Complex Numbers Find the power of i. 36) i14 36) -1 B) i C) 1 -i Objective: (9.7) Find Power of i Solve the equation. 37) x = 9 37) {3, -3} B) {4.} C) {4, -4} {3} Objective: (10.1) Solve Equation Using Square Root Property Use the quadratic formula to solve the equation. 38) p + 3p - 9 = 0 38) 3 + 3 B) -3-3 C) -3 + 3, -3-3 {-3 + 3, -3-3 } Objective: (10.) Solve Equation by Completing the Square Use the quadratic formula to solve the given equation. 39) x + x + 9 = 0 39) -1 + i 3, -1 - i 3 B) 1 ± 3 C) -1 ± 3 1 + i 3, 1 - i 3 Objective: (10.3) Use Quadratic Formula to Solve Equation (Complex) 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 + 3s - 4 = 0 40) two nonreal complex numbers B) two rational numbers C) one rational number two irrational numbers Objective: (10.3) Use Discriminant to Find Type and Number of Solutions 8 Fall010