Free Printable Final iLearn Review

1.

Which expression IS NOT equivalent to $8x-24$ ?

a)

$4\left(2x-24\right)$

b)

$2x+6\left(x-4\right)$

c)

$8\left(x-3\right)$

d)

$-4\left(-2x\right)-4\left(6\right)$

2.

Combine like terms, simplify, and choose the equivalent expression below for $5x-3+2\left(x-3\right)-2x+4\left(5\right)$

a)

$-24$

b)

$9x+29$

c)

$5x+11$

d)

$5x+14$

3.

Which answer choice is equivalent to:
4(2x-5)+6x

a)

-6x

b)

14x-20

c)

20-14x

d)

14x-5

4.

Which answer choice is equivalent to:
3x+3(2x-7)

a)

21-9x

b)

21x-9

c)

9x-21

d)

9-21x

5.

Which answer choice is equivalent to:
5(2x-3)-3x

a)

10x-6

b)

7x-15

c)

6-10x

d)

15-7x

6.

Which answer choice is equivalent to:
10x-16

a)

4(3x-4)+2x

b)

8(2x-2)-6x

c)

10(x-16)

d)

5(2x-15)-1

7.

Which answer choice is equivalent to:
3x+4x+6(x-3)+4

a)

13x-14

b)

14x-13

c)

14-13x

d)

13-14x

8.

Find an equivalent expression for the given expression: 36x + 24

a)

4(9x + 7)

b)

4(9x + 8)

c)

2(18x + 12)

d)

12(3x + 3)

9.

Use the given expression to answer the following question.
5x + 9 - 4b
There are _________ terms in the given algebraic expression.

a)

2

b)

3

c)

4

d)

5

10.

In the given expression, the v and the r are called the __________________.
15v - 13r

a)

terms

b)

exponents

c)

coefficients

d)

variables

11.

Which expression is equivalent to 3a² + 6a + 5a²?

a)

14a²

b)

14a

c)

8a² + 6a

d)

3a² + 11a

12.

Which expression is equivalent to 6y + 22y + y?

a)

28y + 1

b)

29y

c)

22y + 7

d)

29

13.

Which expression is equivalent to 15x + 10 - 6x - 1?

a)

9x + 9

b)

18x

c)

15x - 3

d)

9x + 11

14.

Find the value of c when the expression 21.2x + c is equivalent to 5.3(4x-2.6)

a)

13.78

b)

-13.78

c)

42.4

d)

-42.4

15.

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

a)

14 in

b)

7 in

c)

42 in

d)

56 in

16.

The distance from Point A to Point B on a scale drawing is 6 cm. If the scale is 1cm : 10m. What is the actual distance from A to B?

a)

6 m

b)

10 m

c)

18 m

d)

60 m

17.

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

a)

63 m

b)

235 m

c)

315 m

d)

630 m

18.

A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

a)

90 ft

b)

7.5 ft

c)

4.5 ft

d)

45 in

19.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

20.

A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?

a)

16 feet

b)

3 feet

c)

48 feet

d)

9 feet

21.

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?

a)

87 km

b)

216 km

c)

33 km

d)

192 km

22.

The windows in the drawing are 1¾ cm apart, how many meters apart are the actual windows if the scale is 2 cm=10 m?

a)

8¾ m

b)

7½ m

c)

5 m

d)

2¼ m

23.

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

a)

9ft x 10ft

b)

1ft x 2ft

c)

12ft x 6ft

d)

18ft x 20ft

24.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

25.

You travel 150 miles on 5 gallons. How far did you travel per gallon?

a)

15 miles

b)

30 miles

c)

3 miles

d)

25 miles

26.

The constant of proportionality in the equation y = ½x is _______.

a)

x

b)

y

c)

1/2

d)

2

27.

A proportional relationship can be written as an equation in the form
____ = _____ _____

a)

y = k+x

b)

y = k-x

c)

y = kx

d)

y = k/x

28.

What does k represent in the equation y = kx?

a)

independent variable

b)

constant of proportionality

c)

dependent variable

d)

krispy kreme

29.

Is this table proportional?

a)

Yes

b)

No

30.

Is this table proportional?

a)

Yes

b)

No

31.

Which graph is non-proportional?

a)

A

b)

B

c)

C

d)

D

32.

Is this graph proportional?

a)

Yes

b)

No

33.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

34.

Why does this graph show a non-proportional relationship?

a)

Because it is proportional

b)

It goes through the origin

c)

It does not go through the origin

d)

It is a straight line

35.

What is the unit rate in this proportional relationship?

a)

60 miles/1 hour

b)

120 miles/ 2 hours

c)

1 mile/ 1 hour

36.

26 < f + 32

a)

f > -6

b)

f < -6

c)

f < 6

d)

f < 55

37.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

38.

-4x + 14 ≤ 54

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

39.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

40.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

41.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

42.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

43.

What inequality does the number line graph represent?

a)

-x + 4 ≥ -1

b)

-2x + 3 > -7

c)

-x + 1 < -4

d)

2x + 3 ≥ 13

44.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

45.

Will my dot be colored in?
5 ≥ x

a)

Yes

b)

No

46.

-3 ≥ x - 1

a)

2 ≥ x

b)

4 ≥ x

c)

-4 ≥ x

d)

-2 ≥ x

47.

Which graph matches the inequality
2 > p?

a)

A

b)

B

c)

C

d)

D

48.

Which graph matches the inequality
x < -1.1?

a)

A

b)

B

c)

C

d)

D

49.

Find the volume of the figure.

a)

63 cm³

b)

91 cm³

c)

819 cm³

d)

409.5 cm³

50.

Volume is the amount of space an object takes up.

a)

True

b)

False

51.

What does the "B" in the volume formula V = B x h stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

52.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

53.

What is this formula used to find?
V=πr²h

a)

The volume of a cylinder

b)

The volume of a cone

c)

The volume of a sphere

d)

The area of a circle

54.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

55.

What formula do you need to find the area of the base of a cone and cylinder?

a)

A= bh

b)

A= 1/2bh

c)

A=πr²

d)

V= Bh

56.

Find the volume.

a)

13680 m³

b)

684 m³

c)

1140 m³

d)

228 m³

57.

Calculate the Volume

a)

410 cm³

b)

420 cm³

c)

402 cm³

d)

401 cm³

58.

Find the volume

a)

1120 ft²

b)

2011 ft²

c)

120 ft³

d)

1120 ft³

59.

B represents...

a)

Area of Base

b)

Base

c)

Bottom

d)

Area of Bridge

60.

a)

45mm²

b)

45mm³

c)

3,375mm³

d)

3,375mm²

61.

Find the Circumference (round to nearest tenth):
diameter = 12 in.

a)

37.7 in.

b)

37 in.

c)

38 in.

d)

75.4 in.

62.

Find the Circumference (round to nearest tenth):
diameter = 10 mi

a)

31 mi

b)

31.4 mi
31.4 mi

c)

31.5 mi
31.5 mi

d)

62.8 mi

63.

Find the Circumference (round to nearest tenth):
diameter = 5 km

a)

15.6 km

b)

15 km

c)

15.7 km

d)

31.4 km

64.

Find the Circumference (round to nearest tenth):
radius = 6 cm

a)

37.7 cm

b)

37.8 cm

c)

37 cm

d)

18.8 cm

65.

Find the Circumference (round to nearest tenth):
radius = 13 ft

a)

81.8 ft

b)

81.6 ft

c)

81 ft

d)

40.8 ft

66.

If my radius is 10ft, what is my diameter?

a)

20ft

b)

5ft

c)

31.4ft

d)

62.8ft

67.

what is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

68.

A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?

a)

10.5 ft

b)

42 ft

c)

65.94 ft

d)

131.95 ft

69.

What is the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

70.

Find the area of the circle.

a)

43.96

b)

153.86

c)

87.82

d)

302.72

71.

What is the area of the circle?

a)

1017.36 in²

b)

113.04 in²

c)

56.52 in²

d)

254.34 in²

72.

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

a)

314 cm²

b)

31.4 cm²

c)

78.5 cm²

d)

10 cm²

73.

Find the area of the circle below.

a)

100 cm²

b)

225 cm²

c)

9 cm²

d)

28.26 cm²

74.

What is the diameter?

a)

2.75 cm

b)

5.5 cm

c)

17.27 cm

d)

94.99 cm²

75.

A line that goes from one edge of the circle to another and crosses the center is the ________________________________.

a)

Center

b)

Diameter

c)

Radius

d)

Circumference

e)

Area

76.

What is the radius of this circle?

a)

9.75 mm

b)

19.5 mm

c)

4.875 mm

d)

30.615 mm

77.

A line from the center point to the edge of the circle is called the _______________________________.

a)

Center

b)

Diameter

c)

Radius

d)

Circumference

e)

Area

78.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

79.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

80.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

81.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

82.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

83.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

84.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

85.

Slope is found by counting
_____ ____ _____.

a)

Rise over Run

b)

Run over Rise

86.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

87.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

88.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

89.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

90.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

91.

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

92.

Which statement below accurately represents the graph?

a)

$100 is earned for each hour worked

b)

$100 is earned for every 2 hours worked

c)

$500 is earned for every 8 hours worked

d)

$200 is earned for every 3 hours worked

93.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

94.

What is the slope of the line pictured?

a)

2

b)

-2

c)

1/2

d)

-1/2

95.

2x + 6 = 18

a)

x = 12

b)

x = -6

c)

x = 6

d)

x = -12

96.

-3x + 8 = -1

a)

x = 5

b)

x = 3

c)

x = -5

d)

x = -3

97.

-1x + 10 = 5

a)

x = 5

b)

x = 15

c)

x = -5

d)

x = -15

98.

14 = 6x - 4

a)

x = -3

b)

x = 10

c)

x = -10

d)

x = 3

99.

3x - 9 = 9

a)

x = 0

b)

x = 6

c)

x = 18

d)

x = 3

100.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

101.

Find the Surface Area

a)

556 cm²

b)

278 cm²

c)

680 cm²

d)

340 cm²

102.

Find the lateral area of the figure.

a)

96 ft²

b)

192 ft²

c)

84 ft²

d)

108 ft²

103.

What is the Surface Area?

a)

101.94

b)

110.94

c)

110.49

d)

101.49

104.

What is surface area?

a)

The measure of the amount of space inside of a solid figure

b)

The sum of all the areas of all the shapes that cover the object

105.

Find the lateral surface area of the prism.

Don't forget to divide the diameter by 2 to get the radius.

a)

100.53 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

106.

Find the lateral surface area of the cylinder.

a)

471.24 square centimeters

b)

157.08 square centimeters

c)

314.16 square centimeters

d)

296.72 square centimeters

107.

Find the total surface area of the cylinder.

Don't forget to divide the diameter by 2 to get the radius.

a)

25.13 square cm

b)

75.40 square cm

c)

50.27 square cm

d)

100.53 square cm

108.

A store had 2 blue chairs for $22.78 or 6 red chairs for $67.80. Which color chair has the lower unit price?

a)

2 blue chairs for $22.78

b)

6 red chairs for $67.80

109.

A video game store was selling games 5 for $102.05. What would be the cost for 3 games?

a)

$20.41

b)

$61.23

c)

$35.00

d)

$15.00

110.

A store sold 4 packs of paper for $7.44. How much would it cost if you bought 5 packs?

a)

$5.95

b)

$1.49

c)

$1.86

d)

$9.30

111.

At the market, you can buy 6 bags of apples for $31.02. At the orchard, you can buy 5 bags for $25.40. Which is the better deal?

a)

6 bags of apples for $31.02 (market)

b)

5 bags pf apples for $25.40 (orchard)

112.

At the store, beef jerky was $27.52 for 2 pounds. How much would 5 pounds of beef jerky cost?

a)

$13.76

b)

$5.50

c)

$68.80

113.

An ice company charged $9.60 for 6 bags of ice. How much would 4 bags of ice cost?

(a)

114.

(-12) + 7

a)

5

b)

-5

c)

19

d)

-19

115.

(-10) + (-7)

a)

-17

b)

17

c)

3

d)

-3

116.

-6 + 12

a)

-18

b)

6

c)

-6

d)

NONE OF THESE

117.

-45 + 9

a)

-54

b)

-55

c)

-36

d)

54

118.

-8 + (-7)

a)

-1

b)

15

c)

1

d)

-15

119.

-9 - 5

a)

-14

b)

14

c)

-4

120.

Negatives numbers are right or left of zero?

a)

right

b)

left

121.

Find the sales tax only. $199.95 ipod; 9% tax

a)

$ 17.99

b)

$ 217.95

c)

$18.00

d)

$179.90

122.

Find the total cost. $ 990 T.V.; 9% tax

a)

$ 89.10

b)

$ 900.90

c)

$ 1,079.10

d)

Free

123.

Sales tax is __________ to the price

a)

subtracted

b)

added

c)

multiplied

d)

divided

124.

Find the gratuity only. $ 75. 45 steak dinner; 18% gratuity

a)

$ 13.58

b)

$ 89.03

c)

$ 61.87

d)

$135.80

125.

Find the total cost. $20 meal; 9% sales tax; 20% gratuity after the sales tax has been added

a)

$ 1.80

b)

$ 4.00

c)

$26.16

126.

Shelley sells a home for $127,000 and makes 7% commission. How much commission does she make?

a)

135,890

b)

88,900

c)

889,000

d)

8,890

127.

Ralph sells a motorcycle for $7800 on Ebay. Ebay charges Ralph a 6% fee on the selling price. How much did Ralph get in total for the motorcycle after paying the Ebay fee?

a)

$7332

b)

$468

c)

$8268

d)

$7328

Final iLearn Review

Total questions: 127

Worksheet time: 11hrs 48mins

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