Free Printable 8th Grade MATH MIDTERM REVIEW

1.

Between which two consecutive whole numbers is the square root of 277?

a)

15 and 16

b)

16 and 17

c)

18 and 19

d)

14 and 15

2.

Name the closest integer.

a)

4.2

b)

4

c)

4.6

d)

5

3.

simplify $-\ \sqrt[]{\frac{49}{81}}$

a)

$\frac{6}{9}$

b)

$-\frac{7}{9}$

c)

$\frac{7}{9}$

d)

$\frac{7}{81}$

4.

solve $x^2=289$

a)

17

b)

144.5

c)

17 or -17

d)

-144.5

5.

a cube has volume of 125. what is the length of 1 side?

a)

62.5

b)

5

c)

$\pm5$

d)

25

6.

Estimate the square root.

a)

7.4

b)

23

c)

6.8

d)

6.5

e)

6.2

7.

Which is the best approximation of point P?

a)

$\sqrt{8}$

b)

$\sqrt{2}$

c)

$\sqrt{12}$

d)

$\sqrt{5}$

8.

Which best represents point Z on the number line?

a)

√165

b)

√149

c)

√121

d)

√13

9.

Without using a calculator, choose the number that could be a representation of $\sqrt[]{28}$ on a calculator.

a)

5.2915026

b)

4.8989794

c)

5.9160797

d)

4.1231056

10.

$\sqrt[3]{1000}$

a)

1000

b)

10

c)

3000

d)

333.333

11.

Classify 8 as a perfect square, a perfect cube, or neither.

a)

perfect square

b)

perfect cube

c)

both

d)

neither

12.

$5^0$

a)

5

b)

1

c)

0

d)

undefined

13.

Which expressions are equivalent to $4^{-2}$

a)

16

b)

$\frac{1}{4^2}$

c)

$\frac{1}{4^{-2}}$

d)

$\frac{1}{16}$

14.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

15.

Find the length of the side of a square with an area of 16.

a)

8

b)

16

c)

4

d)

256

16.

$\frac{1}{5^{-4}}$

a)

$\left(-5\right)^4$

b)

$5^4$

c)

$-5^4$

d)

$-\ \frac{1}{5^4}$

17.

$x^2\ =\ 144$

a)

$\pm11$

b)

$\pm72$

c)

$\pm12$

d)

$\pm6$

18.

What number is irrational? (Not a perfect square)

a)

√81

b)

√144

c)

√35

d)

√169

19.

Rational or Irrational? $\sqrt[]{140}$

a)

rational

b)

irrational

20.

Rational or Irrational? 4.80880888......

a)

rational

b)

irrational

21.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

22.

Which of the following numbers is written in scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

23.

Convert to scientific notation:

520,000,000

a)

52 x 10⁷

b)

5.2 x 10^-7

c)

5.2 x 10⁸

d)

0.52 x 10⁹

24.

Convert this number to standard notation:

7.1 x 10⁴

(a)

25.

Write 4.83 x 10^-6in Standard Form.

a)

0.00048300

b)

0.00004830

c)

0.00000483

d)

0.00000438

26.

A scientist uses a spherical particle in an experiment. The diameter of particle A is 0.00000438 centimeters. Write the diameter of particles A as a single digit times a power of ten.

a)

4 X $10^{-6}$

b)

4 X $10^{-5}$

c)

5 X $10^{-5}$

d)

5 X $10^{-5}$

27.

$\left(19^8\right)^6$

a)

$19^2$

b)

$19^{\frac{8}{6}}$

c)

$19^{14}$

d)

$19^{48}$

28.

$r^6r\ f^1$

a)

$r^{7\ }rf$

b)

$r^7$

c)

$f^7$

d)

$r^7f$

29.

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

a)

16

b)

-16

c)

8

d)

-1/2

30.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

31.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

32.

6n - 15 + 6n = 45

a)

3

b)

5

c)

-5

d)

8

33.

2x + 3(x - 2) -3(x - 6) = 4(x - 2)

a)

x = 10

b)

x = 0

c)

x = 4

d)

x = -4

34.

6x + 1 = 2(x + 8) -5x

a)

$\frac{7}{9}$

b)

$1\ \frac{2}{3}$

c)

$-\frac{7}{9}$

d)

$-1\ \frac{2}{3}$

35.

LA fitness has 5 more than 3 times as many exercise bicycles as 24 hour fitness. Solve the equation

x + 3x + 5 = 21 to find the number of bicycles at LA fitness. Solve for x.

a)

4 bicycles

b)

17 bicycles

c)

7 bicycles

d)

25 bicycles

36.

$\frac{w}{-15}\ -13\ \ge\ 8$

a)

$w\ \le\ -75$

b)

$w\ \le\ -315$

c)

$w\ \ge\ 315$

d)

$w\ \ge\ 75$

37.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

38.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

39.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

40.

3 (m + 7) < 28

a)

m < 7 / 3

b)

m < 3 / 7

c)

m < 7

d)

m < 21

41.

Question 8: Solve the inequality

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

42.

-3n + 4 - 2n > -36

a)

n < 10

b)

n > 8

c)

n < 8

d)

n> -8

43.

How many solutions does the following equation have?

−5 + 7x = 7x + 5

a)

One Solution

b)

No Solutions

c)

Infinitely Many Solutions

44.

How many solutions does the following equation have?
3x − 3 = −3 + 3x

a)

One Solution

b)

No Solutions

c)

Infinitely Many Solutions

45.

How many solutions does the following equation have? IF IT IS ONE SOLUTION, ENTER THE SOLUTION.

−2x + 9 + 6x = −3x + 2

(a)

46.

What is the y-intercept?

a)

2

b)

3

c)

4

d)

-3

47.

What is the y-intercept?

a)

1

b)

2

c)

3

d)

4

48.

Mila hired a plumber to come to her house. The equation y = 35x + 50 represents the cost in dollars, y, of hiring the plumber for x hours. Interpret the y- intercept.

a)

The cost of hiring the plumber increases $35 each hour.

b)

The cost of hiring the plumber increases $50 each hour.

c)

The initial cost of hiring the plumber is $35.

d)

The initial cost of hiring the plumber is $50.

49.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

a)

2/11

b)

13/2

c)

3/10

d)

11/2

50.

Find the slope of the line that passes through
(19, -2) and (-11, 10)

a)

-2/5

b)

2/5

c)

5/2

d)

-5/2

51.

a)

How many minutes she was on the phone

b)

What Tara pays per minute

c)

Tara's base fee for her phone service

d)

How much Tara owes at the end of each month

52.

What is the slope of the table?

a)

15

b)

6

c)

1/6

d)

-6

53.

The graph shows the cost of buying gas at the gas station.

What does the point (10, 30) mean in the context of the situation?

a)

10 times 3 is 30

b)

10 gallons of gas costs $30

c)

30 gallons of gas costs $10

d)

(20, 60)

54.

The graph shows the cost of buying gas at the gas station.

Is the number of gallons bought proportional to the cost?

a)

Yes, it is a proportional relationship

b)

No, this is not a proportional relationship

55.

What does a proportional relationship look like on a graph?

a)

A straight line that passes through the origin, (0,0).

b)

A line that does not pass through the origin , (0,0).

56.

Identify whether the graph represents a proportional or non-proportional relationship.

a)

Proportional Relationship

b)

Non-Proportional Relationship

57.

Which of these lines does not have a y-intercept?

a)

A

b)

B

c)

C

d)

D

58.

Choose which graph correctly represents the line for this equation:

$2x+y=6$

a)

b)

59.

Which graph shows the correct linear equation?

a)

A

b)

B

c)

C

d)

D

60.

Which graph shows the correct linear equation?

a)

A

b)

B

c)

C

d)

D

61.

Which graph shows the correct linear equation?

a)

A

b)

B

c)

C

d)

D

62.

Which graph shows the correct linear equation?

a)

A

b)

B

c)

C

d)

D

63.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = 2x - 3

64.

a)

F

b)

G

c)

H

d)

J

65.

Identify the equation to graph the green line.

a)

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

b)

y = 1 x

c)

y = 3 x

d)

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

66.

What is the equation for this graph?

a)

y= 4/5 x + 4

b)

y= 5/4 x + 4

c)

y= 4x -5

d)

y= 5x + 4

8th Grade MATH MIDTERM REVIEW

Total questions: 66

Worksheet time: 2hrs 12mins

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