COMPASSPractice Test E

Algebra StuffThis PowerPoint presentation will present

10 sample problems with answers.

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A.

B.

C.

E1. What is the value of when x = -5?

D. -3

E. 3

2

2422

x

xx

8

9

8

11

3

11

E1. What is the value of when x = -5?

2)5(

24)5(2)5( 2

3

241025

3

2415

3

9

3

Answer E

2

2422

x

xx

E2. Simplify6

35

3

50

A.

B.

C.

D.

E.

2

5

3

25

2

65

6

535

3

210

6

35210

E2. Simplify6

35

3

50

6

35

3

50

6

35

3

25

6

35

3)2(

25)2(

6

35

6

210

6

35210 Answer E

E3. In the figure below what is the distance between point A and B?

A. 11

B. 10

C.

D. 9

E.

A

B

65

11

E3. In the figure below what is the distance between point A and B?

A

B

65

Use the Pythagorean Theorem.

4

7

222 cba 222 74 c24916 c265 c

c65

A. 9

B. 10

C.

D. 14

E.

E4. In the standard coordinate plane what is the distance between (-5, 2) and (1, -6)?

14

11

212

212 )()( yyxxd

Use the distance formula.

22 )2)6(())5(1( d

6436)8()6( 22 d

10100 d

E4. In the standard coordinate plane what is the distance between (-5, 2) and (1, -6)?

If you do not like the distance formula you can use the Pythagorean Theorem.

222 cba 6

8

222 86 c26436 c

2100 cc10

10

E5. 27 -2/3 = ?

A. -18

B.

C. 9

18

1

D.

E.

9

1

9

1

32

32

27

127

23 27

1

23

1

9

1

E6. The parabola below is a graph of which equation?

(-2, 4)

(-4, 0) (0, 0)

A. y = (x - 2)2 + 4

B. y = (x + 2)2 + 4

C. y = -(x - 2)2 + 4

D. y = -(x + 2)2 + 4

E. y = x2 + 4x + 8

Plug (-2, 4) into choice Cy = -(x - 2)2 + 44 = -(-2 - 2)2 + 4 4 = -(-4)2 + 44 = -16 + 44 = -12False

E6. The parabola below is a graph of which equation?

(-2, 4)

(-4, 0) (0, 0)

Because the parabola points down we know that the x2 term willbe negative. (Negative Frown Face)

C. y = -(x - 2)2 + 4

D. y = -(x + 2)2 + 4Plug (-2, 4) into choice Dy = -(x + 2)2 + 44 = -(-2 + 2)2 + 4 4 = -(0)2 + 44 = -0 + 44 = 4True

E7. The solution of the equation below falls between what two integers?2x + 8 = 7x + 20

A. -4 and -3

B. -3 and -2

C. -2 and -1

D. 1 and 2

E. 2 and 3

20782 xx

82072 xx

125 x

5

12

5

5

x

4.25

12

x

E8. What is the solution of the system of equations below?

ayx

ayx

1442

43

A. (3a, 2a)

B. (-3a, 2a)

C. (15a, 11a)

D. (15a, -11a)

E. (3a, -2a)

ax 155 5

15

5

5 ax

ayx 4)(3 a3

aya 49

ay 84 ay 2

ax 3

3

2

4

D.

E.

E9. What is the slope of the line in the standard coordinate plane determined by the equation 2x - 3y = 12?

A.

B.

C.

2

3

2

3

3

2

1232 yx

1223 xy3

12

3

2

3

3

xy

43

2

xy

3

2m

E10. For all x and y, (x + 2y)2 - 4y(x + y) = ?

A. x2

B. x2 - 4xy

C. x2 - 2xy

D. x2 + 8y2

E. (x + 4y)(x - 4y)

(x + 2y)2 - 4y(x + y)

=(x + 2y)(x +2y) - 4xy - 4y2

= x2 + 4xy +4y2 - 4xy - 4y2

= x2

The End Compass E