Free Printable Math 6 Final Review

1.

What is/are the coefficient(s) of
2x + 9 + 7x?

a)

2, 9, 7

b)

2, 7

c)

2x, 7x

d)

9

2.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

3.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

d)

v5

4.

Simplify the algebraic expression by combining like terms:

$3x\ +\ 5y\ -\ 3x\ +\ 2y$

a)

$x\ +\ 7y$

b)

$-x\ +10y$

c)

$7y$

d)

$6x\ +7y$

5.

Simplify by combining like terms:

-6k + 7k

a)

k

b)

-k

c)

12k

d)

-12k

6.

Simplify the algebraic expression by using the distributive property and combining like terms:

$5\left(v\ +2\right)\ +\ 5\left(v\ -5\right)$

a)

$10v\ +35$

b)

$10v\ -15$

c)

$2v\ +35$

d)

$2v\ -15$

7.

List in order from least to greatest.
5/4, 56%, 1.07, 4/5

a)

5/4, 56%, 1.07, 4/5

b)

1.07, 4/5, 5/4, 56%

c)

56%, 1.07, 4/5, 5/4

d)

56%, 4/5, 1.07, 5/4

8.

Fractions are shown.
1/3, 1/4, 5/8
Order the fractions from least to greatest.

a)

1/4, 5/8, 1/3

b)

1/4, 1/3, 5/8

c)

5/8, 1/3, 1/4

d)

1/3, 1/4, 5/8

9.

Put the following in order LEAST to GREATEST:
54%, 2/5, .45

a)

2/5, .45, 54%

b)

54%, 2/5, .45

c)

54%, .45, 2/5

d)

.45, 2/5, 54%

10.

Which inequality sign would make the following true.

a)

<

b)

>

c)

=

11.

What is 60% of 55?

(a)

12.

20% of what number is 8?

a)

6.4

b)

1.6

c)

40

d)

4.0

13.

What are the coordinates of point H?

a)

-4, 2

b)

4, -2

c)

-2, 4

d)

4, 4

14.

What is the ordered pair for point K?

a)

-3, -3

b)

3, -3

c)

-4, -4

d)

5, 8

15.

What is the origin?

a)

The point furthest away from the center of the coordinate plane

b)

The four regions of a coordinate plane

c)

the x-axis

d)

Where the x-axis and y-axis intersect

16.

Which quadrant or axis would I find point A?

a)

x-axis

b)

y-axis

c)

quadrant 1

d)

quadrant 2

17.

The vertical number line is called the __________?

a)

x-coordinate

b)

x-axis

c)

y-axis

d)

y-coordinate

18.

The horizontal number line is called the _____________?

a)

y-axis

b)

y-coordinate

c)

x-axis

d)

x-coordinate

19.

When plotting points in a coordinate plane, which directions should you go first?

a)

left or right

b)

up or down

c)

left

d)

up

20.

In the ordered pair, (7, -7), first I would move ____ then ____.

a)

Left, Down

b)

Left, Up

c)

Right , Up

d)

Right , Down

21.

In the ordered pair (5,9) which number is the Y COORDINATE?

a)

9

b)

neither

c)

both

d)

5

22.

How many quadrants are in a coordinate plane?

a)

1

b)

2

c)

3

d)

4

23.

What is the opposite of 17?

a)

17

b)

0

c)

-17

24.

On the number line, which point represents a positive integer?

a)

R

b)

Q

c)

P

d)

No positive integers are shown on the number line.

25.

Karen checked her bank account and discovered she had -$32. What was the magnitude of the amount she had overdrawn?

a)

-$32

b)

$32

c)

$64

d)

$0

26.

What is the absolute value of the reading on the given thermometer.

a)

20

b)

-20

c)

0

d)

40

27.

What quadrant is this point plotted?

a)

Q I

b)

Q II

c)

Q III

d)

Q IV

28.

9.08 + 14.6 =

a)

23.16

b)

23.68

c)

19.50

d)

24.68

29.

21.56 - 9.56 =

a)

15

b)

17.43

c)

15.40

d)

12

30.

8.5 ⋅ 2.3 =

a)

19.55

b)

195.5

c)

2.95

d)

20.35

31.

65 ÷ 4 =

a)

15.50

b)

16.25

c)

12

d)

18.25

32.

3.24 ÷ 0.6 =

a)

5.25

b)

0.54

c)

5.4

33.

Find the sum. Be sure to simplify the answer, if needed.

$3\ \frac{5}{16}+2\ \frac{3}{4}$

a)

$6\ \frac{5}{6}$

b)

$5\ \frac{2}{5}$

c)

$5\ \frac{11}{16}$

d)

$6\ \frac{1}{16}$

34.

Find the difference. Be sure to simplify the answer, if needed.

$9\ \frac{1}{10}-4\ \frac{1}{5}$

a)

$5\ \frac{1}{10}$

b)

$4\ \frac{9}{10}$

c)

$4\ \frac{1}{10}$

d)

$5\ \frac{9}{10}$

35.

Find the product. Be sure to simplify the answer, if needed.

$4\ \frac{1}{2}\times1\ \frac{2}{3}$

a)

$7\ \frac{1}{2}$

b)

$4\ \frac{2}{6}$

c)

$6\ \frac{2}{3}$

d)

$7\ \frac{1}{3}$

36.

Find the quotient. Be sure to simplify the answer, if needed.

$24\div\frac{3}{2}$

Type your answer as a whole number.

(a)

37.

What is this symbol?

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

38.

Which of these means that x is greater than or equal to 12

a)

x ≥ 12

b)

x > 12

c)

x ≠ 12

d)

x ≥ 15

39.

Which set (s) of numbers make the inequality a - 5 < 6

a)

{ 8,9,10}

b)

{11,12,13}

c)

{5,6,7}

40.

No More Than

a)

<

b)

>

c)

≤

d)

≥

41.

Fewer Than

a)

<

b)

>

c)

≤

d)

≥

42.

Solve the following inequality:

x + 2 > 12

a)

subtract 2 from both sides and your answer is

x = 10

b)

subtract 2 from both sides and your answer is

x > 10

c)

subtract 2 from both sides and your answer is

X < 10

43.

Solve 5x > 10

a)

divide by 5 on both sides and your answer is

x = 2

b)

divide by 5 on both sides and your answer is

x < 2

c)

divide by 5 on both sides and your answer is

x > 2

44.

Try some:

-2x ≤ 4

a)

divide by -2 o both sided and your answer will be

x = -2

b)

divide by -2 on both sides and you will switch the direction of the inequality since you are dividing by a negative and your answer will be

x ≥ -2

c)

divide by -2 on both sides and your answer will be

x ≤ -2

45.

Write the inequality for the graph.

a)

x ≥ 5

b)

x < 5

c)

x > 5

d)

x ≤ 5

46.

Write the inequality for the graph.

a)

x ≥ 5

b)

x < 5

c)

x > 5

d)

x ≤ 5

47.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

48.

Write the inequality for the graph.

a)

x ≥ 5

b)

x < 5

c)

x > 5

d)

x ≤ 5

49.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

50.

Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) ADULT ticket cost?

a)

$0.08

b)

$25

c)

$12

d)

$12.50

51.

Which is the better buy?

a)

A 4 pack of t-shirts for $2.24

b)

A 6-pack of t-shirts for $3.12

c)

An 8 pack of t-shirts for $4.24

52.

Sarah wants to buy tomatoes, which is the best deal?
15 kg for $32.25
4 kg for $8.72

a)

15 kg for $32.25

b)

4 kg for $8.72

c)

Neither

53.

BONUS!!!!

Melanie's Volvo got 120 miles on 5 gallons of gas. Nikki got 175 miles on 8 gallons of gas in her Nissan. Which car gets the higher gas mileage?

a)

Volvo

b)

Nissan

54.

a)

24 cubic units

b)

28 cubic units

c)

12 cubic units

d)

20 cubic units

55.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

56.

a)

A

b)

B

c)

C

d)

D

57.

Find the surface area of the rectangular prism with the following dimensions:
length = 11 m
height = 7 m
width = 2 m

a)

226 m squared

b)

220 m squared

c)

150 m squared

d)

154 m squared

58.

Find the Surface area of the shape?

a)

258 m²

b)

268 m²

c)

248 m²

d)

278 m²

59.

What is surface area?

a)

the amount of space inside a 3D shape

b)

the sum of the areas of all faces on a 3D shape

c)

Something Mrs. Clausen made up?

d)

length x width

60.

How many faces does this shape have?

a)

6

b)

3

c)

9

d)

5

61.

Kelly saves $5 every week. Which equation represents the amount of money, $m$ Kelly will save, in $w$ , weeks?

a)

$m=\frac{5}{w}$

b)

$m=5+w$

c)

$m=5\cdot w$

d)

$m=5-w$

62.

Jasen has a coupon for $10 OFF a video game. Which equation represents the relationship between the original price,

p

, and the new price,

N

, of the video game?

a)

$N=10p$

b)

$N=p+10$

c)

$p=N-10$

d)

$N=p-10$

63.

A hotel has a certain number of rooms, $r$ . Each room has 2 chairs. Which equation represents the total number of chairs, $c$ , in all of the rooms at the hotel?

a)

$c=2\cdot r$

b)

$c=\frac{2}{r}$

c)

$c=2-r$

d)

$c=2+r$

64.

Mrs. Fetes has 130 pieces of jolly-ranchers she wants to give out to students who stay after school for extra help. Which equation represents the relationship between the total pieces of candy each student gets,

p

, to the number of students who stay after school,

s

?

a)

$p=\frac{130}{s}$

b)

$p=130\cdot s$

c)

$p=130+s$

d)

$s=\frac{130}{p}$

65.

What is a Ratio?

a)

Is a comparison of two quantities

b)

A rate with a denominator of one

c)

It is when the only factor the numerator and denominator share is a one

d)

Two decimals that can be multiplied

66.

How many different ways can you write a ratio

a)

1

b)

2

c)

3

d)

4

67.

What is the ratio of red apples to green apples

a)

7 apples to 3 green

b)

4 red apples to 7 apples

c)

4 red apples to 3 green apples

d)

3 green apples to 4 red apples

68.

what is the ratio of seals to turtles?

a)

5 : 3

b)

3 to 5

c)

3 of 5

d)

3 : 8

69.

There are 4 birds and 6 snakes. What is the ratio of birds to total animals?

a)

4/10

b)

4/6

c)

6/4

d)

10/4

70.

What is the ratio of yellow to total?

a)

54 : 6

b)

54 : 9

c)

9 to 54

d)

3 : 9

71.

The red line has a length of ___.

a)

3m

b)

4m

c)

6m

72.

The VOLUME of the prism is 80m³. What is the missing HEIGHT?

a)

10m

b)

8m

c)

5m

d)

40m

73.

3 yd = ___ in.

a)

108

b)

73

c)

120

74.

40 qt = ___ gal

a)

10

b)

15

c)

20

75.

2.5 kilgrams = _____ grams

a)

2500 g

b)

250 g

c)

25,000 g

d)

25 g

76.

A box of 8 identical bags of peanuts weighs 3 pounds. How many ounces does each bag of peanuts weigh?

a)

16 ounces

b)

48 ounces

c)

6 ounces

d)

3 ounces

77.

3km = _____ m

a)

3

b)

30

c)

300

d)

3,000

78.

3kg = ___ g

a)

30,000

b)

3,000

c)

300

d)

3

79.

Complete the conversion.

55 g=___ mg

a)

5,500

b)

55,000

c)

550

d)

550,000

80.

Complete the conversion.

7,549 g=___ kg

a)

7,549,00

b)

7.549

c)

75,490

d)

75.49

81.

Complete the conversion.

9.5 cm=___ mm

a)

950

b)

.095

c)

.95

d)

95

82.

Evaluate the expression.
|–5| + 8

a)

3

b)

13

c)

-13

d)

-3

83.

What is the absolute value of |-26|

a)

26

b)

-26

c)

-36

d)

36

84.

Which list orders the integers from least to greatest?

a)

-5, 3, -2, l -4l

b)

-2, 3, l-4l, -5

c)

-5, -2, 3, l-4l

d)

-2, -5, 3, l-4l

85.

What is another way to write -( -6)?

a)

66

b)

6

c)

-6

d)

-66

86.

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

a)

15 units

b)

14 units

c)

10 units

d)

9 units

87.

2x + 3y = 30

x and y are _____

a)

terms

b)

variables

c)

constants

d)

coefficients

88.

4x + 3 = 11

3 and 11 are _____

a)

constants

b)

variables

c)

coefficients

d)

operators

89.

8x - 4 = 12

8 is a(n) _______

a)

constant

b)

variable

c)

coefficient

d)

term

90.

Find the area:

a)

40 yd

b)

40 yd²

c)

80 yd²

d)

18 yd²

91.

Find the area of the parallelogram above

a)

14.5 ft²

b)

26 ft²

c)

52 ft²

d)

7.3 ft²

92.

The area of the rectangle is 120 ft². The base is 15 ft. What is the height?

a)

8 ft

b)

8 ft²

c)

1800 ft

d)

0.075 ft

93.

a)

108 ft²

b)

54 ft²

c)

42 ft²

d)

63 ft²

94.

Find the area of the composite figure (in square feet).

a)

40

b)

9

c)

49

d)

61

95.

The distance halfway across the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

96.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

97.

What is the radius of this circle?

a)

18

b)

36

c)

9

d)

6

98.

What is circumference?

a)

The distance around a circle.

b)

The space inside the circle.

c)

A line from side to side passing through the center.

d)

A line from the center to the side.

99.

A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?

a)

c = 15π

b)

c = 2π15

c)

c = π(15²)

d)

c = π(7.5²)

100.

A Circle has a diameter of 18 meters. What is the circumference of the circle? (Best Choice)

a)

9π or about 28.26 m

b)

18π or about 56.52 m

c)

81π or about 254.34m

d)

324π or about 1017.36 m

101.

What is the area of a circle?

a)

The distance around a circle.

b)

The space inside the circle.

c)

A line from side to side passing through the center.

d)

A line from the center to the side.

102.

A Circle has a radius of 4. What is the area of the circle? (Best Choice) (note: units are squared)

a)

4π or about 12.56

b)

16π or about 50.24

c)

2π or about 6.28

d)

8π or about 25.12

103.

A Circle has a radius of 12 inches. What is the area of the circle? (Best Choice)

a)

24π or about 75.36 in²

b)

12π or about 37.68 in²

c)

144π or about 452.16 in²

d)

576π or about 1,808.64 in²

104.

what is the area of a circle with the diameter of 16 cm ?

a)

66 cm

b)

200.96 cm

c)

66.5 cm

d)

10 m

105.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

106.

what is the area of a circle with the diameter of 10cm ?

a)

66cm

b)

78.5cm

c)

66.5cm

d)

10m

107.

What is the inverse operation of addition?

a)

addition

b)

subtraction

c)

multiplication

d)

division

108.

The _________ must be alone or isolated on one side of the equation.

a)

constant

b)

coefficient

c)

exponent

d)

variable

109.

To solve a - 4 = 35 you would ...

a)

subtract 4 from both sides of the equation.

b)

add 4 to both sides of the equation.

c)

add a to both sides of the equation.

d)

hope for the best.

110.

To solve n + 23 = 65 you would...

a)

add 23 to both sides of the equation.

b)

add 65 to both sides of the equation.

c)

subtract 65 from both sides of the equation.

d)

subtract 23 from both sides of the equation.

111.

To solve 9x=153 you would...

a)

multiply by 9 on both sides

b)

divide by 9 on both sides

c)

add 9 to both sides

d)

subtract 9 from both sides

112.

Solve the equation:
20.5 = x + 4

a)

16.5

b)

16.05

c)

24.5

d)

24.05

113.

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

114.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

115.

Which equation has w = 8 as the solution?

a)

8w= 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

116.

Isolate the variable by using __________ or opposite operations.

a)

intricate

b)

inverse

c)

similar

d)

the same

117.

What is the inverse operation of multiplication?

a)

addition

b)

subtraction

c)

multiplication

d)

division

118.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

119.

5. 6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

120.

a)

6x-1

b)

10x+7

c)

6x+1

d)

8x+1

Math 6 Final Review

Total questions: 120

Worksheet time: 30hrs 47mins

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