COMPASSPractice Test G

AlgebraThis PowerPoint presentation will present

10 sample problems with answers.

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A. 2X + Y = -12

B. 2X = -6

C. 2X - 3Y = 12

D. 2Y + 3X = 12

E. -3X + Y = -8

G1. Which equation best describes the data in this table?

X -3 0 3Y -6 -4 -2

One way to get the answer would beto plug each ordered pair into each equation

until you found the one equation that all of the ordered pairs work with.

G1 Which equation best describes the data in this table?

X -3 0 3Y -6 -4 -2

Calculate the slope

Plug into Point Slope

2 ( 4)

3 0m

2

3

1 1( )y y m x x 2

( 4) ( 0)3

y x

24

3y x

3 12 2y x

2 3 12x y

2 3 12x y Answer C

Write in standard

form.

G2 For all x, 2

2

186 ?

4x

x

A. 9

B. 3

C. 5

D. 7

E. 4

2

186

4x

218 6 4x

218 6 4

6 6

x

23 4x

29 4x 4 4

25 x

22 23 4x

Answer C

G318 32

2 3

A.

B.

C.

D.

E.

2

5 10

9 6 4 2

6

14

5

17 2

6

G3

18 32

2 3

Answer E

18 32

2 3

9(2) 16(2)

2 3

3 2 4 2

2 3

(3)3 2 (2)4 2

(3)2 (2)3 9 2 8 2

6 6 17 2

6

G4 For all

A.

B.

C.

D.

E.

2

2

10a

ab b

5( )

2

a b

b

2

5( )

b

a b

5

2( )

b

a b

2

210

ab b

a

5

, 0,2

aba b ba

a b

G4 For all

5 ( )a a b

5

, 0,2

aba b ba

a b

5

2

aba

a b

2ab

5( )

2

a b

b

Answer B

G5 Which of these equations defines a line that is parallel to the line given by the equation y = -0.5x + 5?

A.

B.

C.

D.

E.

15

2y x

12

5y x

21

5y x

17

2y x

12

5y x

G5 Which of these equations defines a line that is parallel to the line given by the equation y = -0.5x + 5?

0.5 5y x

1

10.5

2m

1. Identify the slope of

the line.

2. Find the equation of

the line with the

same slope.

Answer D

So which equation has a slope of -0.5?

17

2y x

G6 In the standard (x, y ) plane, what is the distance

between and ?

A.

B.

C.

D.

E.

6

9

3 3

27

9 9 3

3 3, 1 6 3, 2

G6 In the standard (x, y ) plane, what is the distance

between and ? 3 3, 1 6 3, 2

Use the distance formula. 2 2

2 1 2 1d x x y y

2 2

6 3 3 3 2 ( 1)d 2 2

3 3 3

9 (3) 9 27 9 36

Answer A 6

G7 What is the solution of the system of equations

below?

A.

B.

C.

D.

E.

3 , 2a a

4, 4

3 , 2a a

4, 4

2, 0

2 7

3 2 5

x y a

x y a

G7 What is the solution of the system of equations

below?

2 7

3 2 5

x y a

x y a

4 12x a

4 12

4 4

x a

3x a

2 7x y a 3 3a a

2 4y a

2 4

2 2

y a

2y a(3 , 2 )a a

Answer A

(3 )a

F8 For all

A.

B.

C.

D.

E.

2x

2 12x x

2 6x x

2 12 18x x

2 12 18x x

2, ( 3) 3(2 3) ?x x x

F8 For all2, ( 3) 3(2 3) ?x x x

2( 3) 3(2 3)x x ( 3)( 3) 3(2 3)x x x

2x

2 6 9 6 9x x x

Answer A

G9 8 -2/3 = ?

A.

B.

C.

D.

E.

4

1

4

4

16

3

1

4

2

38

2

3

1

8

2

3

1

8

2

1

2

1

4

G10 What is the value of k when2 24

2?12

x kxx

x

1410

2

Answer C

A.

B.

C.

D.

E. 10

14

G10 What is the value of k when2 24

2?12

x kxx

x

Answer C

2 242

12

x kxx

x

2 24 2 12x kx x x 2 224 12 2 24x kx x x x 2 224 14 24x kx x x

2 224 24x x

14kx x

14kx x 14kx x

x x

14k

The End COMPASS G