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COMPASS Algebra

Practice Test FThis practice test is 10 items long.Record your responses on a sheet of

paper.The correct answers are on the slideafter the last question.Complete solutions follow the answerslide.Click the mouse or use the spacebarto advance to the next question.

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A. Y = 4X - 7

B. Y = X - 6C. Y = -2X + 5

D. Y = 4X + 3

E. Y = 3X + 5

F1. Which equation best describes

the data in this table?X 0 2 -2Y 5 1 9

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F2 F or all x

,2

2

205 ?7 x x

! !

A. 9

B. 3

C. 16

D. 7

E. 4

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F3

A.

B.

C.

D.

E.

8

8

8

9 8

9

5 5

4 6

48 5 5?

3 6 !

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F4 What is the slope of 3x + 2y = 6?

A.

B.

C.

D.

E.

23

32

3

2

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F5 Which of these equations defines a linethat is perpendicular to the line given b y the

equation y = 2x + 5?A.

B.

C.

D.

E.

y !

12

5 y x!

21

5 y x!

15

2 y x!

12

5 y x!

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F6 In the standard ( x, y ) plane, what is the distance

between and ?

A.

B.

C.

D.

E.

3 5, 0

6 5, 4

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F7 What are the ( x, y) coordinates of the point of

intersection of the lines determined b y the equations

2x 3y = 4 and y = x?

A.

B.

C.

D.

E.

4 4

4 4

4 4

4 4

2, 0

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F8 If is a special operation defined b y

(a b) = 3a 2b and (6 x) = 8 then x = ?

A.

B.

C.

D.

E.

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F9 12x 2 + 11x 36 is the product of ( 3x 4) and

another pol ynomial. What is the other pol ynomial?

A.

B.

C.

D.

E.

x

24 x

24 9 x

4 9 x

49

x

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F10 416

81

A.

B.

C.

D.

E.

2

9

4

2

9

2

4

20 .25

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AnswersAlgebra Practice Test F

1. C

2. A3. C4. E5. D

6. C

7. B8. D9. E10. C

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A. Y = 4X - 7

B. Y = X - 6C. Y = -2X + 5

D. Y = 4X + 3

E. Y = 3X + 5

F1. Which equation best describes

the data in this table?X 0 2 -2Y 5 1 9

y m b! Notice that all of the answers are in slope intercept form .

We just have to find m and b.

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F1 Which equation best describes

the data in this table?Calculate the slope .

Find b.

5 1

0 2

!4

2!

y m b! (0 5)

Answer C

!

To find b, plug in a point .Use - for the slope .

( ) ( )( ) y m b! 2 5 y ! 2 055 0 b!

X 0 2 -2Y 5 1 9

b!5

12

12

x x

y ym

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F2 F or all x

,2

2

20

5 ?7 x x! !

A. 9

B. 3

C. 16

D. 7

E. 4

0

7 x

!

220 5 7 x!

220 5 75 5

x

24 7 x!

216 7 x! 7 7

29 x!

2

2 24 7 x!

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F3

A.

B.

C.

D.

E.

8

8

8

9 8

9

5 54

6

48 5 5?

3 6 !

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F3

48 5 5?

3!

48 5 5

3 6

Answer C

6(3) 5 5

3 6!

4 3 5 5

3 6!

(2)4 3 5 5(2)3 6

! 8 3 5 56 6

! 8 3 5 56

!

Before addition the fractions must be rewritten with a common denominator . The LCD is 6.

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F4 What is the slope of 3x + 2y = 6?

A.

B.

C.

D.

E.

2

3

32

3

2

y m b!

If we solve for y the num ber in front of the x is the slope .

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F4 What is the slope of 3x + 2y = 6?

3 2 6 x y !S olve for y, then the coefficient of x is the slope.

3 3 x x

2 3 6 y x! 2 3

2 2 2

y x!

33

2

x y ! A nswer E

23

m

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F5 Which of these equations defines a linethat is perpendicular to the line given b y the

equation y = 2x + 5?A.

B.

C.

D.

E.

y x!

12

5 y x!

21

5 y x!

15

2 y x!

12

5 y x!

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F5 Which of these equations defines a linethat is perpendicular to the line given b y the

equation y = 2x + 5?2 5 y !

1

2

1m !

P erpendicular

1 . Identif y the slope of

the line.

2 . Change the sign.

3 . Take the reciprocal. 21

2m ! A nswer D

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F6. In the standard ( x, y ) plane, what is the distance

between and ?

A.

B.

C.

D.

E.

4

9

3 5, 0

6 5, 4

d !

Use the distance form ula.

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F6 In the standard ( x, y ) plane, what is the

distance between and ? 3 5, 0 6 5,

2 22 1 2 1d !

2 2

6 5 3 5 4 0d ! 2 2

3 5 4!

45! !

Answer C

)16()5(9

Use the distance form ula.

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F7 What are the ( x, y) coordinates of the point of

intersection of the lines determined b y the equations

2x 3y = 4 and y = x?

A.

B.

C.

D.

E.

4, 4

4, 4

4, 4

4, 4

2, 0N otice that x and y have to be the same

This eliminates

choices C, D, and E.

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F7 What are the ( x, y) coordinates of the point of

intersection of the lines determined b y the equations

2x 3y = 4 and y = x?

2 3 x y

y x

!

!

S olve this s ystem b y substitution.

2 3( ) 4 x x !

2 3 4 x x!

4 x !4 x !

y !

( y !

( 4, 4)

A nswer B

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F8 If is a special operation defined b y

(a b) = 3a 2b and (6 x) = 8 then x = ?

A.

B.

C.

D.

E.

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F8 If is a special operation defined b y

(a b) = 3a 2b and (6 x) = 8 then x = ?

( ) 3 2 If a b a b !(6 ) 8an ! 3(6) 2( ) 8 x !

18 2( ) 8 x !18 18

2 10 x !

5 x !

A nswer D 2 02 2

x !

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F9 12x 2 + 11x 36 is the product of ( 3x 4) and

another pol ynomial. What is the other pol ynomial?

A.

B.

C.

D.

E.

9 4 x

24 x

24 9 x

4 9 x

49

x

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F9 12x 2 + 11x 36 is the product of ( 3x 4)

and another pol ynomial. What is the other

pol ynomial?

22 36 x x ! 3 x

A nswer E

212))(3( x x !

36))(4( !

x4

x4

9

9

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F10 416

81

A.

B.

C.

D.

E.

4

9

2

9

4

2

9

2

4

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42 (2 )(2 )(2 )

(3)(3)(3)(3)!

2

3

!