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 2x 3 – 3xy ? 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 – 2x = 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  ±3, I know how to solve this problem. a)Yes b)No c)I’m not sure

Which is the complete factorization of (3, -15) I know how to solve this problem. a)Yes b)No c)I’m not sure

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  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

A1. If x = -2 and y = 5, what is the value of the expression 2x 3 – 3xy ?  A.14  B.46  C.54  D.-46  E.-54 2x 3 – 3xy 2(-2) 3 – 3(-2)(5) 2(-8) – 3(-10) -16 – = 14

A2. What are the solutions to the quadratic equation x 2 – 2x = 48?  A. -12, -4  B. -8, -6  C. 6, 8  D. -6, 8  E. -8, 6 Set the equation equal to zero. x 2 – 2x = 48 x 2 – 2x – 48 = 0 Factor (x + 6)(x – 8) = 0 Write a solution set. x = {-6, 8}

 D.  E.  A.  B.  C. A3.Rationalize the denominator.

First simplify the expression. Rationalize the denominator means to remove the radical from the bottom of the fraction Multiply the top and bottom by a number that will make the denominator a perfect square. This is a match for B Then simplify the denominator to get rid of the radical.

 D.  E.  A.  B.  C. A4.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

A5.For all x  ±3,  A.  B.  C.  D.  E.

A5.For all x  ±3, Rational Expression Factor Cancel This is a match for D

A6.Which is the complete factorization of 5y 3 – 125y Factor out the common 5y 5y(y 2 – 25) Difference of squares 5y(y + 5)(y – 5)  A.  B.  C.  D.  E.

A7.What is the product of and  A.  B.  C.  D.  E.

A8.If then  A.  B.  C.  D.  E.

A8.If then First convert 3½ to an improper fraction Multiply by the reciprocal Convert 16/7 to a mixed number This is a match for C

A9.If, what is the value of the expression  A.12  B.14  C.17  D.22  E.36

A10. For all b  0,  A.18b  B.6b  C. 32b b  D.2b 2 + 4b  E.2b + 4 Rational Expression Factor Cancel = 2b + 4