COMPASS Algebra Practice Test A This practice test
COMPASS Algebra Practice Test A • This practice test is 10 items long.
If x = -2 and y = 5, what is the value of the expression 2 x 3 – 3 xy ? I know how to solve this problem. a) Yes b) No c) I’m not sure
What are the solutions to the quadratic equation x 2 – 2 x = 48? I know how to solve this problem. a) Yes b) No c) I’m not sure
Rationalize the denominator. I know how to solve this problem. a) Yes b) No c) I’m not sure
What is the equation of the line that contains the points (-1, 1) and (2 , 7)? I know how to solve this problem. a) Yes b) No c) I’m not sure
For all x ¹ ± 3, I know how to solve this problem. a) Yes b) No c) I’m not sure
Which is the complete factorization of I know how to solve this problem. a) Yes b) No c) I’m not sure (3, -15)
What is the product of and I know how to solve this problem. a) Yes b) No c) I’m not sure
If then I know how to solve this problem. a) Yes b) No c) I’m not sure
If, what is the value of the expression I know how to solve this problem. a) Yes b) No c) I’m not sure
For all b ¹ 0, I know how to solve this problem. a) Yes b) No c) I’m not sure
Answers Algebra Practice Test A 1. A 2. D 3. B 4. E 5. D 6. A 7. C 8. C 9. B 10. E
A 1. If x = -2 and y = 5, what is the value of the expression 2 x 3 – 3 xy ? ¡A. 14 ¡B. 46 ¡C. 54 ¡D. -46 ¡E. -54 2 x 3 – 3 xy 2(-2)3 – 3(-2)(5) 2(-8) – 3(-10) -16 – -30 -16+30 = 14
What are the solutions to the quadratic equation x 2 – 2 x = 48? A 2. ¡A. ¡B. ¡C. ¡D. ¡E. -12, -4 -8, -6 6, 8 -8, 6 Set the equation equal to zero. x 2 – 2 x = 48 x 2 – 2 x – 48 = 0 Factor (x + 6)(x – 8) = 0 Write a solution set. x = {-6 , 8}
A 3. Rationalize the denominator. ¡A. ¡D. ¡B. ¡E. ¡C.
A 3. Rationalize the denominator means to remove the radical from the bottom of the fraction This is a match for B First simplify the expression. Multiply the top and bottom by a number that will make the denominator a perfect square. Then simplify the denominator to get rid of the radical.
A 4. What is the equation of the line that contains the points (-1, 1) and (2 , 7)? ¡A. ¡D. ¡B. ¡E. ¡C.
A 4. What is the equation of the line that contains the points (-1, 1) and (2 , 7)? First calculate the slope m. Now find b Use Slope Intercept Now put m and b together to write the equation. This is a match for E
A 5. For all x ¹ ± 3, Rational Expression Factor Cancel This is a match for D
A 6. Which is the complete factorization of ¡ A. ¡ B. ¡ C. ¡ D. ¡ E. 5 y 3 – 125 y Factor out the common 5 y 5 y(y 2 – 25) Difference of squares 5 y(y + 5)(y – 5)
A 7. What is the product of and ¡A. ¡B. ¡C. ¡D. ¡E.
A 8. If then Multiply by the reciprocal First convert 3½ to an improper fraction Convert 16/7 to a mixed number This is a match for C
A 9. If, what is the value of the expression ¡A. 12 ¡B. 14 ¡C. 17 ¡D. 22 ¡E. 36
Rational Expression A 10. For all b ¹ 0, ¡A. 18 b ¡B. 6 b ¡C. 32 b 2 + 48 b ¡D. 2 b 2 + 4 b ¡E. 2 b + 4 Factor Cancel = 2 b + 4
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