Free Printable 8th Grade 1st Semester Cumulative Review

1.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

2.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

6.2

3.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

4.

Do the segment lengths 15, 12, and 9 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

5.

Do the lengths form a right triangle? 6, 8, 10

a)

yes

b)

no

6.

What is another name for the counting numbers?

a)

Basic

b)

Natural

c)

Obvious

d)

Easy

7.

A rational number _____ be written as a fraction. If it is written as a decimal, the decimal ________ or _______ .

a)

Cannot; never terminates; never repeats.

b)

Cannot; terminates; repeats

c)

Can; terminates; repeats

d)

Can; terminates; never repeats

8.

Irrational numbers _______ be written as fractions. If they are written as decimals, the decimals ________ and _______ .

a)

Cannot; never terminate; never repeat

b)

Cannot; terminate; never repeat

c)

Can; terminate; repeat

d)

Can; never terminate; repeat

9.

Whole numbers are the natural numbers and _____.

a)

Negative numbers

b)

Fractions

c)

Zero

d)

Non-terminating decimals

10.

Order 3π, √ 10 , and 3.25 from least to greatest.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

11.

Place numbers from least to greatest.

a)

-3/7, -0.44, √2, 0.14, 141%,

b)

-0.44, 0.14, -3/7, √2, 141%

c)

-3/7, -0.44, 0.14, 141%, √2

d)

-0.44, -3/7, 0.14, 141%, √2

12.

A student solved x² = 169. What is the value of x?

(a)

13.

Express the repeating decimal $0.\overline{3}$ as a fraction.

a)

1/3

b)

1/9

c)

3/100

d)

3/10

14.

Convert $\frac{3}{5}$ to a decimal.

a)

0.35

b)

0.6

c)

3.5

d)

$1.\overline{6}$

15.

Select all the categories that describe the following number:

$\frac{\pi}{2}$

a)

Rational Number

b)

Integer

c)

Whole Number

d)

Irrational Number

16.

TRUE OR FALSE:

All whole numbers are rational numbers?

a)

True

b)

False

c)

I'm Not Sure

17.

Find the root of $\sqrt[3]{27}$ .

a)

9

b)

3

c)

1

d)

27

18.

What is $4^2$ ?

a)

2

b)

8

c)

4

d)

16

19.

What is $\sqrt[]{100}$ ?

a)

10

b)

50

c)

200

d)

1

20.

What is $\sqrt[]{64}$ ?

a)

8

b)

128

c)

32

d)

64

21.

Between which two whole numbers does $\sqrt[]{32}$ fall?

a)

4 and 5

b)

6 and 7

c)

5 and 6

d)

7 and 8

22.

SELECT ALL that apply to classify the following number: -16

a)

Natural

b)

Integer

c)

Whole

d)

Rational

23.

$\pi$

a)

Rational

b)

Irrational

24.

The √40 is between which two integers?

a)

39 and 41

b)

6 and 7

c)

5 and 6

d)

19 and 21

25.

Put in the symbol to make the statement true...
-17.5 _________ -√121

a)

>

b)

<

c)

=

26.

Which of these values is the GREATEST?

a)

63/7

b)

8.99

c)

450%

d)

-22

27.

a)

A, B, C

b)

B, C, A

c)

C, A, B

d)

A, C, B

28.

$\frac{a^7}{a^{14}}$

a)

$\frac{1}{a^7}$

b)

$a^2$

c)

a

d)

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

29.

How would you write 4.3756 x 10⁴in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

30.

a)

b)

c)

d)

31.

a)

b)

c)

d)

32.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

33.

Which of the following represents a true statement?

a)

$19^{21}\cdot19^3=19^{63}$

b)

$\left(24^8\right)^5=24^{40}$

c)

$20^1=20^0$

d)

$\frac{16^{40}}{16^{20}}=16^2$

34.

Which has the same value as $\frac{f^9\cdot f^3}{f^4}$ ?

a)

$f^{23}$

b)

$f^3$

c)

$f^8$

d)

$f^2$

35.

Simplify.

$\frac{8.4\times10^{10}}{3\times10^7}$

a)

$2.8\times10^{17}$

b)

$5.4\times10^3$

c)

$2.8\times10^{70}$

d)

$2.8\times10^3$

36.

Which is the simplified version of $\left(8.5\times10^3\right)\left(2\times10^5\right)$ , expressed in scientific notation?

a)

$17\times10^8$

b)

$1.7\times10^9$

c)

$1.7\times10^7$

d)

$1.7\times10^{16}$

37.

Mark studied a group of 30 whales. If each whale weighed approximately $3.8\times10^5$ pounds, find the total weight of all 30 whales. Express your answer in scientific notation.

a)

$114\times10^5$ lbs

b)

$14.4\times10^6$ lbs

c)

$1.14\times10^7$ lbs

d)

$1.14\times10^5$ lbs

38.

Write the product using exponents:

(-2) ⋅ (-2) ⋅ (-2) ⋅ (-2) ⋅ (-2)

a)

-2⁵

b)

2^-5

c)

(-2)⁵

d)

(-2)^-5

39.

$\left(3x\right)^3$

a)

$9x^3$

b)

$x^3$

c)

$27x^3$

d)

$6x^3$

40.

(r²s³t)⁸

a)

r¹⁶s²⁴t⁸

b)

r¹⁰s¹¹t⁸

c)

r¹⁰s¹¹t⁹

d)

r¹⁶s²⁴t⁹

41.

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

42.

Write the answer in scientific notation.

5.3 x 10⁵ + 3.7 x 10⁵ =

a)

99.0 x 10⁵

b)

9.9 x 10¹⁰

c)

8.0 x 10⁵

d)

9.0 x 10⁵

43.

$\left(9\times10^{-5}\right)-\left(7\times10^{-7}\right)=$

a)

$89.3\times10^{-7}$

b)

$8.93\times10^{-7}$

c)

$0.893\times10^{-7}$

d)

$8.93\times10^{-5}$

44.

$\left(12\times10^6\right)+\left(13\times10^7\right)$

a)

$1.24\times10^8$

b)

$1.42\times10^8$

c)

$1.42\times10^7$

d)

$1,420\times10^5$

45.

$\left(4\times10^6\right)+\left(8\times10^8\right)=$

a)

$804\times10^6$

b)

$8.04\times10^8$

c)

$80.4\times10^5$

d)

$0.084\times10^4$

46.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

47.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

48.

What was Brian's unit rate?

a)

3/2

b)

1.5

c)

60

d)

30

49.

What makes a graph proportional?

a)

Linear

b)

The line is only in quadrant 1

c)

Curvy line

d)

Linear and the line goes through the origin

50.

A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

a)

25 pieces

b)

35 pieces

c)

75 pieces

d)

70 pieces

51.

12 ounce shampoo bottle lasts Mike 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?

a)

24 weeks

b)

6 weeks

c)

30 weeks

d)

20 weeks

52.

What is the slope of the table?

a)

-2/1

b)

-1/2

c)

2/1

d)

1/2

53.

What is the slope of the table?

a)

-2/5

b)

5/-2

c)

5/2

d)

2/5

54.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4

d)

4

55.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

56.

Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?

a)

64

b)

128

c)

32

d)

16

57.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

58.

At what rate did the rain fall?

a)

2 cm per hour

b)

¹/₄ cm per hour

c)

¹/₂ cm per hour

d)

4 cm per hour

59.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

60.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

61.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

62.

What is the slope of all horizontal lines?

a)

0

b)

undefined

c)

1

d)

-1

63.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

64.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

65.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

66.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4

d)

4

67.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

68.

What is the rate of change?

a)

1/2

b)

2

c)

7

d)

3

69.

What is the rate of change?

a)

5

b)

1/5

c)

15

d)

10

70.

Find the slope of the line.

a)

Undefined

b)

0

c)

1/1

d)

-1/1

71.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

72.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

73.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

74.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

75.

Use the triangles to help you identify the slope! Remember to simplify!

rise/run

a)

2

b)

1/2

c)

-2

d)

-1/2

76.

Use the triangles to help you identify the slope! Remember to simplify!

rise/run

a)

1

b)

-1

c)

3

d)

-3

77.

Use the triangles to help you identify the slope! Remember to simplify!

rise/run

a)

1/3

b)

3

c)

-3

d)

-1/3

78.

Use the triangles to help you identify the slope! Remember to simplify!

rise/run

a)

2/3

b)

3/4

c)

3/2

d)

1/3

79.

Use the triangles to help you identify the slope! Remember to simplify!

rise/run

a)

2/3

b)

3/2

c)

-2/3

d)

-3/2

80.

The slope of line CA is $-\frac{3}{2}$ . Which of the following is true about the slope of line XZ?

a)

The slope of line XZ is the negative reciprocal of the slope of line CA because the triangles are flipped.

b)

The slope of line XZ is one-half the slope of line CA because the ratio of corresponding sides between the triangles is $\frac{1}{2}$ .

c)

The slope of line XZ is the same as the slope of line CA because the ratios of the corresponding sides of the triangles are equivalent.

d)

The is no relationship between the slope of line XZ and the slope of line CA.

81.

Which proportion could be used to show the slope of line VX is equal to the slope of line XZ?

a)

$\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{1-3}{1-\left(-5\right)}$

b)

$\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{5-1}{3-1}$

c)

$\frac{-2-\left(-5\right)}{-2-1}=\frac{5-1}{3-1}$

d)

$\frac{1-\left(-2\right)}{1-\left(-5\right)}=\frac{3-1}{5-1}$

82.

Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the verticces are integers. Which statement is true about the slope of line HK and the slope of line PK.

a)

The slope of line HK is less than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for line HK than it is for line PK.

b)

The slope of line HK is equal to the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is the same for line HK as it is for line PK.

c)

The slope of line HK is greater than the slope of line PK because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for line HK than it is for line PK.

d)

The relationship between the slope of line HK and the slope of line PK cannot be determined because the traingles are congruent.

83.

Triangle PQR and RST are similar right triangles. Which proportion can be used to show that the slope of line PR is equal to the slope of line RT?

a)

$\frac{3-7}{-4-\left(-7\right)}=\frac{-5-3}{2-\left(-4\right)}$

b)

$\frac{3-\left(-4\right)}{7-\left(-7\right)}=\frac{-5-2}{3-\left(-4\right)}$

c)

$\frac{-4-\left(-7\right)}{3-7}=\frac{2-\left(-4\right)}{-5-3}$

d)

$\frac{-4-\left(-3\right)}{-7-7}=\frac{2-\left(-5\right)}{-4-3}$

84.

Triangle DEF and triangle GHI are similar triangles. Based on this information, which statement is true?

a)

The relationship between the slope of the hypotenuse of triangle DEF and the slope of the hupotenuse of triangle GHI cannot be determined.

b)

The slope of the hypotenuse of triangle DEF is greater than the slope of the hypotenuse of triangle GHI.

c)

The slope of the hypotenuse of triangle DEF is less than the slope of the hypotenuse of triangle GHI.

d)

The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI.

85.

Which of the following is true about the triangles shown on the graph?

a)

The slope of the smaller triangle is smaller than the slope of the larger triangle.

b)

The slope of the larger triangle is larger than the slope of the smaller triangle.

c)

The triangles are congruent. Congruent: same size, same shape.

d)

The slopes of the two triangles are the same.

86.

Are the triangles drawn along the line similar? Remember: Similar: same shape, different size.

a)

yes

b)

no

87.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

8th Grade 1st Semester Cumulative Review

Total questions: 87

Worksheet time: 8hrs 45mins

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