COMPASS Algebra Practice Test A This practice test is 10 items long

COMPASS AlgebraPractice Test A

• This practice test is 10 items long.

If x = -2 and y = 5, what is the value of the expression 2x3 – 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 x2 – 2x = 48?


a)Yes

b)No

c)I’m not sure

Rationalize the denominator.3

4


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)?


a)Yes

b)No

c)I’m not sure

For all x ±3, ?9

1272

2

x

xx


a)Yes

b)No

c)I’m not sure

Which is the complete factorization of

(3, -15)

?1255 3 yy


a)Yes

b)No

c)I’m not sure

What is the product ofand

)5524(

?)532(


a)Yes

b)No

c)I’m not sure

If then,82

13 x ?x


a)Yes

b)No

c)I’m not sure

If, what is the value of the expression

3

1x

?1569 2 xx


a)Yes

b)No

c)I’m not sure

For all b 0, ...4

168 2

b

bb


a)Yes

b)No

c)I’m not sure

Answers Algebra Practice Test A

1. A2. D3. B4. E5. D

6. A7. C8. C9. B10.E

A1. If x = -2 and y = 5, what is the value of the expression 2x3 – 3xy ?

A. 14

B. 46

C. 54

D. -46

E. -54

2x3 – 3xy

2(-2)3 – 3(-2)(5)

2(-8) – 3(-10)

-16 – -30

-16+30 = 14

A2. What are the solutions to the quadratic equation x2 – 2x = 48? A. -12, -4

B. -8, -6

C. 6, 8

D. -6, 8

E. -8, 6

Set the equation equal to zero.

x2 – 2x = 48

x2 – 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.3

4

3

2

3

32

9

2

9

6

4

A3. Rationalize the denominator.3

4

First simplify the expression.

3

4

3

2

Rationalize the denominator means to remove the radical from

the bottom of the fraction

3

3

Multiply the top and bottom by a number that will make the

denominator a perfect square.

9

32

3

32

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)?

35 xy 52 xy

33 xy 32 xy

54

3 xy

A4. What is the equation of the line that contains the points (-1, 1) and (2 , 7)?

12

12

xx

yym

First calculate the slope m.

)1(2

17

3

6 2

Now find b

bmxy

Use Slope Intercept

bmxy b )2(27

b4744 b3

Now put m and b together to write the equation.

32 xyThis is a match

for E

A5. For all x ±3,

A.

B.

C.

D.

E.

3

4

x

x

3

4

x

x

3

4

x

x

3

4

x

x

9

127

x

?9

1272

2

x

xx

A5. For all x ±3, ?9

1272

2

x

xx

9

1272

2

x

xx

Rational Expression

Factor

)3)(3(

)4)(3(

xx

xx

Cancel

)3(

)4(

x

x

This is a match for D

A6. Which is the complete factorization of

5y3 – 125y

Factor out the common 5y

5y(y2 – 25)

Difference of squares

5y(y + 5)(y – 5)

?1255 3 yy )255( 2 yy

)25(5 2 yy

)5)(5(5 yyy

2)5(5 yy

2)5(5 yy

A.

B.

C.

D.

E.

A7. What is the product ofand A.

B.

C.

D.

E.

)5524(

5826

33

101783

1074

101340

?)532(

)532)(5524(

44 1012 105 2515

)2(4 1017 )5(15

7510178

101783

A8. If then

A.

B.

C.

D.

E.

,82

13 x ?x

2

9

9

2

7

22

16

7

2

111

A8. If then,82

13 x ?x

First convert 3½ to an improper

fraction

2

7

2

1

2

6

2

13

82

7x

7

2Multiply by the reciprocal

7

2

7

16x

7

22

7

22

7

2

7

14

7

16x

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

3

1x

?1569 2 xx

153

16

3

19

2

1529

19

1521 14

A10. For all b 0,

A. 18b

B. 6b

C. 32b2 + 48b

D. 2b2 + 4b

E. 2b + 4

...4

168 2

b

bb

b

bb

b

bb

4

)42(4

4

168 2

Rational Expression

Factor

Cancel

= 2b + 4

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COMPASS Algebra Practice Test A This practice test is 10 items long