Free Printable 8th grade

1.

the sum of a number and five

a)

x + 5

b)

x - 5

c)

5x

d)

x/5

2.

a number divided by six

a)

x + 6

b)

x - 6

c)

x/6

d)

6/x

3.

ten divided by a number

a)

x + 10

b)

10 - x

c)

10/x

d)

x/10

4.

a number increased by two

a)

x + 2

b)

x - 2

c)

2x

d)

x/2

5.

Evaluate the expression for n=2.

$30-\left(n\cdot4\right)$

(a)

6.

Evaluate $2x+5\ \ \ \ \ when\ \ \ \ \ x=3$

a)

$11$

b)

$16$

c)

$7$

d)

$21$

7.

Evaluate $2x+5\ \ \ \ \ when\ \ \ \ \ x=3$

a)

$11$

b)

$16$

c)

$7$

d)

$21$

8.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

9.

x³y/xy⁵

a)

x²y⁴

b)

x³y⁴

c)

x²/y⁴

d)

x²/y⁵

10.

(2x⁷)³

a)

6x²¹

b)

8x²¹

c)

6x¹⁰

d)

8x¹⁰

11.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

12.

a)

y³/8

b)

y³/24

c)

y/24

d)

y³/8³

13.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

14.

Can you leave a negative exponent in your answer?

a)

YES

b)

NO

15.

n+2=-14-n

a)

6

b)

8

c)

-8

16.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

17.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

18.

Solve: -7(z - 6) = -70

a)

16

b)

-16

c)

8

d)

-1/2

19.

Laney pays $0.99 for each song she downloads from the Internet. In total, she paid $24.75 for songs from the Internet. How many songs does Laney download?

a)

20 songs

b)

25 songs

c)

30 songs

d)

35 songs

20.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

21.

Simplify and solve:
4(12-8w) = w - 18

a)

2

b)

4

c)

-2

d)

-4

22.

a)

x≥3

b)

x≤3

c)

x>3

d)

x<3

23.

Solve:

4+9x≤40

a)

x≥4

b)

x≤4

c)

x≥-4

d)

x≤-4

24.

3 (m + 7) < 28

a)

m < 7 / 3

b)

m < 3 / 7

c)

m < 7

d)

m < 21

25.

Which sentence represents m > 41?

a)

Mary’s points, m, totaled more than 41

b)

Calvin ran no less than 41 miles, m

c)

The temperature, m, was less than 41°F

d)

The magazines’ cost, m, was not more than $41.

26.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

27.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

28.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

29.

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.

a)

C = 5h + 3

b)

C = 3h + 5

c)

H = 5c + 3

d)

H = 3c + 5

30.

What is the linear equation on the graph shown?

a)

$y=-2x-\frac{1}{2}$

b)

$y=-2x-1$

c)

$y=-\frac{1}{2}x-2$

d)

$y=2x-2$

31.

Which is the correct substitution if you're given the point (3, 4) and has a slope of zero?

a)

$3=\left(0\right)\left(4\right)+b$

b)

$4=\left(0\right)\left(3\right)+b$

c)

$4=\left(3\right)\left(0\right)+b$

d)

$4=\left(0\right)\left(3\right)-b$

32.

(3, 1) and (4, -1)

$m=\frac{y_2-y_1}{x_2-x_1}$ --> $\frac{-1-1}{4-3}=-2$

Which substitution is correct, to help me find the y-intercept (b)?

a)

$-1=\left(-2\right)\left(3\right)+b$

b)

$1=\left(-2\right)\left(4\right)+b$

c)

$3=\left(-2\right)\left(1\right)+b$

d)

$1=\left(-2\right)\left(3\right)+b$

33.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

34.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

35.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

36.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

37.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

38.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

39.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

40.

2x - y = 0

4x - y = 0

a)

(1,2)

b)

(0,0)

c)

No Solutions

d)

Infinite Solutions

41.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

42.

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

a)

1

b)

-1

c)

3

d)

4

43.

Solve the following system by setting the two equations equal to each other. What is the solution?
HINT: - 1/3x + 4 = 2/3x + 1 and then solve for x. Once you find x go back and find y.

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

44.

Are the points on the boundary line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

45.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

46.

Match: the overlap is on the left!

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 4

d)

y > 3x and y < -2x + 4

47.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

48.

Which system of inequality is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y = -x - 1
y ≥ x + 4

49.

Factor completely.
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

50.

Factor completely: x²-6x+8

a)

(x-2)(x-4)

b)

(x-1)(x-8)

c)

(x+2)(x+4)

d)

(x+1)(x+8)

51.

Factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

52.

Factor out the GCF:
12x + 6

a)

6(2x + 1)

b)

3(4x + 2)

c)

6x(2x + 1)

d)

2(6x + 3)

53.

Which of the following is a factor of x²-10x+24?

a)

x-4

b)

x+4

c)

x+6

d)

x-2

54.

Which is another way of correctly expressing
(x - 3)(x - 3)?

a)

(x² - 3²)

b)

(x² - 3)

c)

(x + 3)(x - 3)

d)

(x - 3)²

55.

Factor completely.
3x²- 9x -120

a)

3(x - 8)(x + 5)

b)

3(x + 8)(x - 5)

c)

(3x + 8)(x - 5)

d)

(3x - 8)(x + 5)

56.

x⁴- 16

a)

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

b)

( x² - 4) ( x² + 4)

c)

( x² - 8) ( x² + 8)

d)

( x - 4) ( x + 4)

57.

x⁶- 400

a)

( x³ - 200) ( x³ + 200)

b)

( x² + 20) ( x² + 20)

c)

( x - 20) ( x + 20)

d)

( x³ - 20) ( x³ + 20)

58.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

(5x+9)(5x-9)

c)

25(x-9)²

d)

(9x+5)(9x-5)

59.

Is this a perfect square trinomial?
x² + 16x + 64

a)

Yes

b)

No

60.

Factor: x² - 4x + 4

a)

(x + 2)²

b)

(x - 2)²

c)

(x + 4)²

d)

(x - 4)²

61.

Put into standard form: (x + 6)²

a)

x² + 6x + 12

b)

x² + 6x + 36

c)

x² + 12x + 6

d)

x² + 12x + 36

62.

Factor

x² + 18x + 81

a)

(x + 9)(x – 9)

b)

(x + 18)²

c)

(x + 9)²

d)

(x + 6)²

63.

Factor: x² + 24x + 144

a)

(x + 12)²

b)

(x + 9)²

c)

(x + 15)²

d)

(x + 13)²

64.

Factor

x² + 18x + 81

a)

(x + 9)(x – 9)

b)

(x + 18)²

c)

(x + 9)²

d)

(x + 6)²

8th grade

Total questions: 64

Worksheet time: 6hrs 17mins

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