COMPASSPractice Test F

AlgebraThis PowerPoint presentation will present

10 sample problems with answers.

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A. Y = 4X - 7

B. Y = X - 6

C. 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

F1 Which equation best describes the data in this table?

Calculate the slope

Find b

5 1

0 2m

4

2

y mx b (0, 5)

Answer C

X 0 2 -2Y 5 1 9

2

Plug in a point.Use -2 for the slope.

( ) ( )( )y m x b

5 b

2 5y x 2 05

5 0 b

F2 For all x, 2

2

205 ?

7x

x

A. 9

B. 3

C. 16

D. 7

E. 4

2

205

7x

220 5 7x

220 5 7

5 5

x

24 7x

216 7x 7 7

29 x

22 24 7x

F348 5 5

3 6

A.

B.

C.

D.

E.

13 8

6

8

8 3 5 5

6

9 8

9

5 54

6

F348 5 5

?3 6

48 5 5

3 6

Answer C

16(3) 5 5

3 6 4 3 5 5

3 6

(2)4 3 5 5

(2)3 6

8 3 5 5

6 6

8 3 5 5

6

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

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

A.

B.

C.

D.

E.

3

2

3

2

3

3

2

3

2

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

3 2 6x y

Solve for y, then the coefficient of x is the slope.

3 3x x

2 3 6y x 2 3 6

2 2 2

y x

33

2

xy

Answer E

3

2m

F5 Which of these equations defines a line that is perpendicular to the line given by the equation y = -2x + 5?

A.

B.

C.

D.

E.

15

5y x

12

5y x

21

5y x

15

2y x

12

5y x

F5 Which of these equations defines a line that is perpendicular to the line given by the equation y = -2x + 5?

2 5y x

1

2

1m

Perpendicular

1. Identify the slope of

the line.

2. Change the sign.

3. Take the reciprocal. 2

1

2m

Answer D

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

between and ?

A.

B.

C.

D.

E.

45

16

61

61

29

3 5, 0 6 5, 4

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

between and ? 3 5, 0 6 5, 4

Use the distance formula. 2 2

2 1 2 1d x x y y

2 2

6 5 3 5 4 0d 2 2

3 5 4

9 (5) 16 45 16 61

Answer C

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

intersection of the lines determined by the equations

2x – 3y = 4 and y = x?

A.

B.

C.

D.

E.

4, 4

4, 4

4, 4

4, 4

2, 0

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

intersection of the lines determined by the equations

2x – 3y = 4 and y = x?

2 3 4x y

y x

Solve this system by substitution.

2 3( ) 4x x

2 3 4x x 4x

4x

y x

( 4)y

( 4, 4)

Answer B

F8 If is a special operation defined by

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

A.

B.

C.

D.

E.

2

3

4

5

6

F8 If is a special operation defined by

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

( ) 3 2If a b a b (6 ) 8and x 3(6) 2( ) 8x

18 2( ) 8x 18 18

2 10x

5x

Answer E2 10

2 2

x

F9 12x2 + 11x – 36 is the product of (3x – 4) and

another polynomial. What is the other polynomial?

A.

B.

C.

D.

E.

9 4x

24x

24 9x

4 9x

4 9x

F9 12x2 + 11x – 36 is the product of (3x – 4) and

another polynomial. What is the other polynomial?

212 11 36x x 4x 3 4x 9

Answer E

F10 416

81

A.

B.

C.

D.

E.

4

9

2

9

4

2

9

2

3

4

20.25

42(2)(2)(2)

(3)(3)(3)(3)

2

3

The End Compass F