Free Printable 9 Math - Units 1 to 6 Review

1.

(3³)(3⁴)

a)

3⁷

b)

3¹²

c)

9⁷

2.

(5²)³

a)

5⁵

b)

125⁶

c)

5⁶

3.

8⁵/8²

a)

8⁷

b)

1³

c)

8³

4.

27⁰

a)

1

b)

0

c)

27

5.

In the expression $x^5$ what is the BASE?

a)

x

b)

5

6.

Solve the following:

-8 + (15 - 3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

7.

Solve the following:

[25 - (13+4) + 4] ÷ 3

a)

6

b)

2

c)

3

d)

4

8.

Solve: 29 - 3 (3² - 4)

a)

130

b)

2

c)

44

d)

14

9.

2 × 8 – 3² + 2

a)

9

b)

12

c)

0

d)

3

10.

3 × 6 – (9 – 8)³

a)

1

b)

485

c)

7

d)

17

11.

$2^3+\left(5-2\right)^4$

(a)

12.

$100\div2+\left(4+1\right)^3$

(a)

13.

$\left(3^3\div3^2\right)^3+\left(8^4\times8^3\right)^0$

(a)

14.

21 ÷ 7 + 4 (2)

a)

11

b)

14

c)

1 3/7

d)

9

15.

What is the product?
⁴/₅ × ¹/₅

a)

⁵/₁₀

b)

⁴/₁₀

c)

⁴/₂₅

d)

⁵/₂₅

16.

What is the quotient?
³/₄ ÷ ³/₈

a)

¹/₂

b)

¹/₄

c)

0

d)

2

17.

How do you change this fraction into a decimal? $\frac{-5}{7}$

a)

Add -5 + 7.

b)

Subtract -5 - 7.

c)

Multiply -5 x 7.

d)

Divide -5 / 7.

18.

According to Mr. Crowell, what is the easiest way to order and compare rational numbers?

a)

Add them.

b)

Subtract them.

c)

Change them to variables.

d)

Change them to decimals and compare place values.

19.

When Multiplying/Dividing Mixed Numbers you MUST first...

a)

Find the square roots.

b)

Subtract.

c)

Turn them to into improper fractions.

d)

Find common denominators.

20.

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...

a)

Positive

b)

Negative

c)

Depends on which is bigger.

d)

None of the above

21.

Convert to a decimal
1/8

a)

.25

b)

.125

c)

.55....

d)

.18888...

22.

what is
$\left(3-2^2\left(5-3\right)\right)\div5$

a)

1

b)

-1

c)

0

d)

non of them

23.

In between what two whole numbers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

24.

In between what two whole numbers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

25.

Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 5

c)

Between -4 and -5 and closer to -5

d)

Between -5 and -6 and closer to -6

26.

Which point best represents √47?

a)

A

b)

D

c)

E

d)

F

27.

Round to the Nearest Tenth: √7

a)

3.5

b)

2.7

c)

2.8

d)

14

28.

Round to the Nearest Tenth: √28

a)

5.6

b)

5.9

c)

5.3

d)

8

29.

Find the best estimate for √18 .
Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

30.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

31.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

32.

Find the Total Surface area of the cylinder. Round to the nearest tenth.

a)

62.8 m²

b)

477.3 cm²

c)

235.5 cm²

d)

942.0 cm²

33.

Which value has a square root of:
$\frac{4}{9}$

a)

$\frac{8}{18}$

b)

$\frac{2}{3}$

c)

$\frac{16}{81}$

d)

$\frac{2}{4.5}$

34.

Is the following fraction a perfect square? If so, find its square root.
$\frac{10}{25}$

a)

Yes; $\frac{2}{5}$

b)

Yes; $\frac{100}{625}$

c)

Yes; $\frac{5}{12.5}$

d)

No, it is not a perfect square.

35.

Which of the following is the closest perfect square to:
$\frac{10}{33}$

a)

$\frac{9}{36}$

b)

$\frac{1}{2}$

c)

$\frac{1}{3}$

d)

$\frac{16}{36}$

36.

Estimate the following square root:
$\sqrt{\frac{7}{15}}$

a)

$\frac{9}{16}$

b)

$\frac{1}{2}$

c)

$\frac{3}{4}$

d)

$\frac{49}{225}$

37.

This object is made from 3 identical rectangular prisms. Find its surface area.

a)

$12\ 000cm^2$

b)

$12\ 875cm^2$

c)

$14\ 750cm^2$

d)

$20\ 250cm^2$

38.

This object is made from one cylinder on top of another cylinder. Both diameters are given. Find the surface area.

a)

$440cm^2$

b)

$500cm^2$

c)

$553cm^2$

d)

$585cm^2$

39.

The area of a square is 100 cm². What is the perimeter?

a)

25 cm

b)

10 cm

c)

40 cm

d)

50 cm

40.

The area of a square is 36 cm². What is the length of one side?

a)

6 cm

b)

24 cm

c)

7 cm

d)

9 cm

41.

To determine the overlap between these two prisms, which two values would you multiply together (and then multiply by 2)?

a)

6 cm x 4 cm

b)

7 cm x 4 cm

c)

4 cm x 12 cm

d)

12 cm x 6 cm

42.

What is the overlap of a composite shape?

a)

The 2D shapes that are a part of the 3D shapes and touch both shapes

b)

The 3D shapes that involved in the composite shape

c)

The volume of the figure

d)

The top of the 3D shape

43.

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

44.

Which equation matches the table?

a)

y = 4x + 7

b)

y = 1/4x +11

c)

y = 4x -11

d)

y = 11x + 4

45.

Johnny went to the carnival. It cost $7 to get in and $2 for every ticket.

Which equation would match this verbal description?

a)

y = 2x

b)

y = 7x + 2

c)

y = 7x + 0

d)

y = 2x + 7

46.

Billy opened a bank account with $200, and every week he spends $15.

Which equation best represents the amount of money in his bank account?

a)

y = -15x + 200

b)

y = 15x - 200

c)

y = 200x + 15

d)

y = 15x + 200

47.

John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. Which table shows the relationship between h, the number of hours John's brother works, and c, the total cost of the project.

*Pay close attention to the number of hours in the "h" column.

a)

b)

c)

d)

48.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

49.

What is the equation for this graph?

a)

y = 2

b)

x = 2

c)

0

d)

undefined

50.

What is the equation for this graph?

a)

y = 3

b)

x = 3

c)

0

d)

undefined

51.

Graph y = -4

a)

a

b)

b

c)

c

d)

d

52.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

53.

How many terms are in this polynomial?

2x³- 8x²+ 3x - 7

a)

7

b)

1

c)

4

d)

2

54.

What is the degree of this polynomial?

2x⁴- 3x⁵+ x

a)

-3

b)

2

c)

4

d)

5

55.

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

56.

Simplify the Expression:

3x + 6 - 2x +7

a)

14

b)

14x

c)

x + 13

d)

x - 13

57.

Simplify this polynomial:

n - 10 + 9n - 3

a)

-3

b)

9n - 3

c)

n

d)

10n - 13

58.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

59.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

60.

Simplify this polynomial:

3x²- x + 2 - 5x²+ 8x - 5

a)

8x²+ 9x + 7

b)

-2x²+ 7x - 3

c)

2x²+ 7x - 3

d)

5x²- 3

61.

Simplify this polynomial.

4gh + 7 - $2g^2$ - 3gh + 1 + $4g^2$

a)

$6g^2$ + gh + 8

b)

$6g^2$ + gh + 6

c)

$2g^2$ + gh + 8

d)

$2g^2$ + gh - 8

62.

Which polynomial represents the perimeter of this shape?

a)

21b - 8

b)

$33b^2$ - 8

c)

33b + 8

d)

33b - 8

63.

Which polynomial represents the perimeter of this shape?

a)

12x + 22

b)

6x + 11

c)

17x

d)

$8x^2$ + 24

64.

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w+ 9

65.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

66.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

67.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

68.

Simplify the expression completely:

$-2x\left(5x-3\right)$

a)

-10x² + 6x

b)

-10x² - 6x

c)

10x² - 5x

d)

10x² + 6x

69.

Simplify the expression completely:

$4m\left(m^2+3m-1\right)$

a)

5m³ + 7m² + 3m

b)

4m² + 7m - 4

c)

4m³ + 12m² - 1

d)

4m³ + 12m² - 4m

70.

Simplify the expression completely:

$4x\left(2x^2+xy-3y^2\right)$

a)

8x² + 4xy² - 12y²

b)

8x³ + xy - 12xy²

c)

8x³ + 4x²y - 12xy²

d)

4x³ + 4x²y + xy²

71.

-10z = 40

a)

z = 50

b)

z = 30

c)

z = -4

d)

z = 4

72.

Solve for x: $\frac{x}{5}=2$

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

73.

$-4x-7\ge21$

a)

x ≥ 7

b)

x ≥ -7

c)

x ≤ 8

d)

x ≤ -7

74.

$8x-4\left(x+8\right)=8$

a)

x = 2

b)

x = 10

c)

x = 4

d)

x = -4

75.

$\frac{x}{3}+3=-2$

a)

x = 15

b)

x = 3

c)

x = -15

d)

x = -3

76.

Solve:
$2\left(a+4\right)=2a-8+4a$

a)

a = 3

b)

a = -3

c)

a = -4

d)

a = 4

77.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

78.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

79.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

80.

(Multiple Choice) What inequality does the number line graph represent?

a)

$x>-1$

b)

$x\ge-1$

c)

$x<-1$

d)

$x\le-1$

e)

$x=-1$

81.

True or False.

x\le2

is the same as

2\ge x

.

a)

True

b)

False

c)

I don't know.

82.

(Multiple Choice) What inequality does the number line graph represent?

a)

$x>2$

b)

$x\ge2$

c)

$x<2$

d)

$x\le2$

e)

$x=2$

83.

(Multiple Select) Which numbers are solutions to

2x+2>2

?

a)

$-10$

b)

$-5$

c)

$0$

d)

$5$

e)

$10$

84.

(Multiple Select) Which numbers are solutions to

9>-3\left(x+1\right)

?

a)

$-20$

b)

$-10$

c)

$-4$

d)

$10$

e)

$20$

85.

Solve the following inequality :

$-3\left(x-3\right)>9+6x$

a)

$x<-1$

b)

$x>0$

c)

$x<-3$

d)

$x<0$

e)

$x>-1$

86.

What are two numbers that could be x in x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

87.

Write x ≤ 23 in words.

a)

x is greater than 23

b)

x is greater than or equal to 23

c)

x is less than 23

d)

x is less than or equal to 23

88.

6(2n + 5) = 66

a)

n = 3

b)

n = 5.08

c)

n = 8

d)

n = 432

9 Math - Units 1 to 6 Review

Total questions: 88

Worksheet time: 22hrs 0mins

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