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COMPASS Algebra Practice Test 2 • This practice test is 10 items long. • Record your responses on a sheet of paper. • The correct answers are on the slide after the last question. • Complete solutions follow the answer slide. • Click the mouse or use the spacebar to advance to the next question. 1. Which of these is the product of (x + 2y) and (2x – 3y) ? A. B. C. D. E. 2x2 – 7xy + 6y2 2x2 + xy – 6y2 2x2 + 7xy + 6y2 2x2 – xy – 6y2 2x2 + 7xy – 6y2 2. For all a o A. 4a b 2 B. C. 4 b ab 4a D. b 4 E. 1 4a 2 b 4a and b 0, ? 1 ab 3. This is a graph of which equation? A. 2 y x6 3 B. 3 y x6 2 C. 2 y x6 3 8 6 4 2 D. E. 3 y x6 2 5 -2 3 y x6 2 4. What is the solution to the equation 3(x + 2) – 2(2x + 2) = -2 ? A. -12 B. 10 C. -4 D. 4 E. 12 5. In the Cartesian plane what is the distance between the points (4, 2 13 ) and (2, 13 ) ? A. 6 13 B. 9 13 C. 75 D. 49 E. 7 6. Simplify: 25 A. 1 15 B. 1 75 C. -375 D. 1 125 E. -125 3 2 7. What is the distance from point A to point B? A. 2 8 B B. 34 C. 2 2 A -2 D. 34 E. 75 8. For all x ≠ 0 and y ≠ 0, A. x5 y4 B. y8 x 10 C. D. E. x2 y2 x 10 y8 1 x2 y2 4 3 x y x 6 y 5 9. For all x, y, and z, A. x5y4z2 B. x6y4z2 C. x9y4z2 D. x5y4z3 E. 2x3y2z 3 2 2 (x y z) 10. If y 2 x then y ? A. 45 B. 64 C. 30 D. 9 E. 15 2 5 x 12 and , x 3 Answers Algebra Practice Test 2 1. 2. 3. 4. 5. B A D D E 6. D 7. D 8. B 9. B 10.A 1. Which of these is the product of (x + 2y) and (2x – 3y) ? A. 2x2 – 7xy + 6y2 B. 2x2 + xy – 6y2 C. 2x2 + 7xy + 6y2 D. 2x2 – xy – 6y2 E. 2x2 + 7xy – 6y2 ( x 2 y )( 2 x 3 y ) 2x 3 xy 4 xy 6 y 2 2 x xy 6 y 2 2 2 2. For all a o A. 4a b 2 B. C. D. E. 4 b ab 4a b 4 1 4a 2 b 4a and b 0, ? 1 ab Multiply by the reciprocal of the divisor 4a ab 4a 1 4a 1 1 1 ab ab 2 4a b 2 4a b 1 Recall y = mx +b 3. This line has a negative, downward slope. This eliminates B and C. This is a graph of which equation? A. 2 y x6 3 B. 3 y x6 2 C. 2 y x6 3 The y-intercept is +6 This eliminates E. 8 6 4 2 D. E. 3 y x6 2 3 y x6 2 5 -2 The slope is down 3 over 2. This eliminates A. 4. What is the solution to the equation 3(x + 2) – 2(2x + 2) = -2 ? A. -12 B. 10 C. -4 D. 4 E. 12 3( x 2) 2(2 x 2) 2 3x 6 4x 4 2 x 2 2 2 2 x 4 x4 5. In the Cartesian plane what is the distance between the points (4, 2 13 ) and (2, 13 ) ? A. 6 13 Recall the distance formula. d ( x2 x1 ) ( y2 y1 ) 2 2 B. 9 13 2 2 d ((2) (4)) ( 13 2 13) C. 75 D. 49 E. 7 d (6) ( 13) 36 13 2 d 49 7 2 6. Simplify: 25 A. 1 15 B. 1 75 C. -375 D. 1 125 E. -125 3 2 Negative Exponent Take the reciprocal. Rewrite rational exponent with radical notation 3 2 25 1 25 3 2 1 125 1 1 3 3 5 25 2 Simplify 7. What is the distance from point A to point B? Use the Pythagorean Theorem A. 8 B. 34 C. 2 2 D. 34 E. 75 a b c 2 2 2 3 5 c 2 9 25 c 2 34 c 34 c 2 2 2 2 B 3 A -2 5 8. For all x ≠ 0 and y ≠ 0, A. B. C. D. E. x5 y4 y8 x 10 x2 y2 x 10 y8 1 x2 y2 4 3 x y x 6 y 5 Let each negative exponent cross the division bar and it becomes positive. 8 5 3 y x 4 y 3 y y 6 4 10 6 5 x x y x x 9. For all x, y, and z, o A. o B. o C. o D. o E. x5y4z2 x6y4z2 x9y4z2 x5y4z3 2x3y2z 3 2 2 (x y z) (x3y2z)2 (x3y2z)(x3y2z) When multiplying like bases, add the exponents. x3 + 3 y2 + 2 z1 + 1 x6 y 4 z 2 10. If y 2 x 5x 12 and x 3, then y ? 2 y 2 x 5 x 12 A. 45 2 y 2(3) 5(3) 12 B. 64 y 2(9) 5(3) 12 y 18 15 12 C. 30 y 45 2 D. 9 E. 15