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Math 8 SOL Review Check

Total questions: 53

Worksheet time: 53mins

Name
Class
Date
1.

Select ALL of the following numbers that are

between 2.3 x 100 and 292%.

a)

2.5

b)

2342\frac{3}{4}

c)

53\frac{5}{3}

d)

231%

e)

2.8×10−12.8\times10^{-1}

2.

Which of the following list is in order from greatest to least?

a)

23 , 6.2 ×10−1, 0.6 , 54%\frac{2}{3}\ ,\ 6.2\ \times10^{-1},\ 0.6\ ,\ 54\%

b)

6.2×10−1, 54% , 23, 0.66.2\times10^{-1},\ 54\%\ ,\ \frac{2}{3},\ 0.6

c)

23 , 0.6 , 54% , 6.2×10−1\frac{2}{3}\ ,\ 0.6\ ,\ 54\%\ ,\ 6.2\times10^{-1}

d)

54% , 0.6 , 6.2×10−1 , 2354\%\ ,\ 0.6\ ,\ 6.2\times10^{-1}\ ,\ \frac{2}{3}

3.

Which of the following letters represents the approximate location of 52\sqrt[]{52} on the number line?

a)

Point W

b)

Point X

c)

Point Y

d)

Point Z

4.

Which of the following is not a rational number?

a)

64\sqrt[]{64}

b)

5\sqrt[]{5}

c)

56\frac{5}{6}

d)

−2.345-2.345

5.

Which of the following numbers could letter M represent in the real number system box below?

a)

13\frac{1}{3}

b)

π

c)

-6

d)

3.5

6.

Which two consecutive whole numbers is 90\sqrt[]{90} between?

a)

8 and 9

b)

7 and 8

c)

10 and 11

d)

9 and 10

7.

What is the value of −289-\sqrt[]{289} ?

a)

  • - 16

b)

  • - 17

c)

18

d)

17

8.

The annual average high temperature in a town was 50° in the year 2008 and 55° in the year 2009. What was the percent increase in average high temperature in this town between the two years?

a)

10%

b)

91%

c)

9%

d)

95%

9.

Brayden is buying a new video game console for $356.88, which includes tax. If he made a down payment of $50, what would his monthly payment be if he paid the rest in 8 months (each of equal payments)?

a)

$44.61

b)

$50.86

c)

$42.46

d)

$38.36

10.

Jenna ordered four pizzas for $8.55 each, including tax. If she wanted to give a 15% tip, what would her total bill be?

a)

$5.13

b)

$34.20

c)

$39.33

d)

$9.83

11.

Find the simple interest earned after 8 years in an account with a principal of $5,000 and an annual interest rate of 3%.

a)

$1,200

b)

$1,875

c)

$150

d)

$120,000

12.

A phone case, which originally costs $14.50, is on sale for 32% off. What is the cost of the phone case after the discount?

a)

$4.64

b)

$9.86

c)

$14.18

d)

$11.28

13.

Which angle is vertical to angle 2?

a)

Angle 1

b)

Angle 4

c)

Angle 3

d)

Angle 5

14.

If m∠4 = 49°, what is m∠5?

a)

49°

b)

41°

c)

131°

d)

98°

15.

Select TWO angle measures that could form supplementary angles.

a)

54°

b)

76°

c)

82°

d)

36°

e)

104°

16.

Which of the following is closest to the volume of this cone?

a)

13 m3

b)

25 m3

c)

38 m3

d)

75 m3

17.

Henry has a box in the shape of a square pyramid. He wants to wrap the box with paper. If the base has side lengths of 5 in. and the lateral height is 8 in., about how much wrapping paper will he need?

a)

105 sq. in.

b)

200 sq. in.

c)

67 sq. in.

d)

144 sq. in.

18.

Meredith has two rectangular prism boxes. Box A has a length of 8 inches, a width of 6 inches, and a height of 5 inches. Box B has the same length and width as Box A, but its height is twice the size of Box A. Select ALL of the following statements that are true about the two boxes.

a)

The volume of Box A is 2 times the volume of Box B.

b)

The volume of Box B is 2 times the volume of Box A.

c)

The volume of Box B is 1⁄2 times the volume of Box A.

d)

The surface area of Box B is 2 times the surface area of Box A.

e)

The surface area of Box B is 140 sq. in.

larger than the surface area of Box A.

19.

Triangle FGH will be reflected over the x axis and then translated three units up and two units right. What will be the coordinates of F’?

a)

(-1, 2)

b)

(5, 4)

c)

(-1, -1)

d)

(-1, -5)

20.

Quadrilateral ABCD is to be dilated by a scale factor of 2. What are the coordinates of A' ?

a)

(0.5 , -0.5)

b)

(-2, 2)

c)

(0, -2)

d)

(2, -2)

21.

A boat is sitting in a still pond of water. A passenger looks out the boat at the water, and sees the boat shown in the water. What type of transformation is represented by the image?

a)

Translation

b)

Refelection

c)

Dilation

d)

Rotation

22.

Three views of a three-dimensional figure are shown. Which could be this three-dimensional figure?

a)

b)

c)

d)

23.

Which of the following sets of side lengths form a right triangle?

a)

8 m, 9 m, 10 m

b)

8 in, 15 in, 17 in

c)

3 cm, 5 cm, 7 cm

d)

11 ft, 12 ft, 15 ft

24.

Larry placed a ladder 4 feet from the base of a wall. The ladder is 10 feet long. Approximately how high up the wall does the ladder reach?

a)

9.2 feet

b)

10.8 feet

c)

6.0 feet

d)

3.5 feet

25.

Which of the following is closest to the area of the figure shown, consisting of a semicircle and

rectangle?

a)

27 ft2

b)

124 ft2

c)

74 ft2

d)

49 ft2

26.

What is the perimeter of the composite figure shown, consisting of a square and equilateral triangle?

a)

15 m

b)

37.5 m

c)

25 m

d)

30 m

27.

Chelsea’s garden is in the shape of an isoceles trapezoid connected to a rectangle, where the longer base of the isoceles trapezoid is connected to the longer side of the rectangle. If the rectangle has dimensions of 9 feet by 5 feet, and the isoceles trapezoid has a smaller base of 3 feet and legs of 4 feet, how much fencing will Chelsea need to completely surround her garden?

a)

21 feet

b)

30 feet

c)

39 feet

d)

57 feet

28.

You roll two fair number cubes, having sides labeled with the numbers 1-6. What is the probability that both number cubes will land on 3?

a)

16\frac{1}{6}

b)

136\frac{1}{36}

c)

112\frac{1}{12}

d)

13\frac{1}{3}

29.

Select all of the following scenarios that represent independent events.

a)

Flipping a coin and landing on tails, then rolling a number cube and landing on 4.

b)

Selecting a King from a standard deck of cards, then selecting a Queen without replacement.

c)

Pulling out a blue marble from a bag of blue and red marbles, replacing it, then pulling out a red marble.

d)

Spinning a spinner labeled 1-4 and landing on 4, then rolling a number cube and landing on an even number.

30.

Blake has a box of a dozen donuts. 8 of them are chocolate and 4 of them are vanilla. He reaches into the box to select donuts at random. What is the probability that he will choose a chocolate donut first, eat it, then select another chocolate donut?

a)

23\frac{2}{3}

b)

718\frac{7}{18}

c)

711\frac{7}{11}

d)

1433\frac{14}{33}

31.

The boxplots compare the scores on a math test taken between two classes. Which value best descibe the data for Block 1?

a)

Lower Extreme = 81

IQR = 16

Median = 68

b)

Lower Extreme = 81

IQR = 68

Median = 16

c)

Lower Extreme = 68

IQR = 16

Median = 81

d)

Lower Extreme = 68

IQR = 81

Median = 16

32.

The boxplots compare the scores on a math test taken between two classes. Select ALL of the following that are true comparing the two classes.

a)

Block 1’s median is equal to Block 2’s lower extreme.

b)

The upper quartiles are the same value for both classes.

c)

Block 1 has a larger interquartile range than Block 2.

d)

Block 2 had the highest test score.

33.

Which of the following scatterplots appear to have a negative relationship?

a)

b)

c)

d)

34.

Which line appears to be the line of best fit for the data in the scatterplot below?

a)

Line A

b)

Line B

c)

Line C

d)

Line D

35.

Evaluate the expression given that

x = 3, y = −2, and z = 4

a)

13

b)

9

c)

10

d)

6

36.

Which property is used in each equation?

Choose the option which matches the order of the equations.

a)

Distributive

Comm. of Add.

Assoc. of Mult.

b)

Comm. of Mult.

Distributive

Comm. of Add.

c)

Distributive

Comm. of Mult.

Comm. of Add.

d)

Distributive

Comm. of Mult.

Assoc. of Mult.

37.

Which of the following is the simplified form of the expression

3(4x − 3) − 5x + 1 ?

a)

7x - 8

b)

7x - 10

c)

2x - 2

d)

2x + 10

38.

Which of the following is not an element of the domain?

a)

{-3}

b)

{1}

c)

{2}

d)

{4}

39.

What is the range of the relation shown?

a)

{-2, 0, 2, 4}

b)

{-3 -2, 1, 3, 4}

c)

{1, 2, 3, 4, 5}

d)

{-2, 0, 4}

40.

Which of the following represents a relation that is not a function?

a)

{(0, 3), (4,−2), (1,−2)}

b)

{(1, 2), (3, 4), (5, 7)}

c)

d)

41.

Which line appears to be the graph of the equation shown?

y = 2x − 1

a)

b)

c)

d)

42.

Which best represents

y=12x+1y=\frac{1}{2}x+1

a)

b)

c)

d)

43.

For the problem shown, if you wrote an equation relating the cost of a job to the number of hours the electrician worked, what number would represent the slope and y-intercept?

a)

slope = 25

y-intercept = 40

b)

slope = 40h

y-intercept = 0

c)

slope = 40h

y-intercept = 25

d)

slope = 40

y-intercept = 25

44.

What is the independent variable in the scenario?

a)

Number of hours worked

b)

Cost of the job

c)

How many lights fixed.

45.

Given the function y = 3x − 2, what is the slope and y-intercept?

a)

Slope = 3

y-intercept = 2

b)

Slope = 3

y-intercept = -2

c)

Slope = 2

y-intercept = 3

d)

Slope = -2

y-intercept = -3

46.

Which line has a negative slope?

a)

b)

c)

d)

47.

Which equation is modeled in the image shown?

a)

3x + 4 = 6 + x

b)

3x - 4 = x + 6

c)

4x + 3 = 6x + 1

d)

x – 4 = 6x + 1

48.

What is the solution to the equation shown?

a)

1

b)

5

c)

-1

d)

2

49.

Solve the following equation for x.

3(2x − 4) = 5x − 8

a)

x = 20

b)

x = -2

c)

x = 4

d)

x = -4

50.

Kaleb was solving a multi-step equation. Which property justifies the work done between steps one and two?

a)

Distributive Property

b)

Identity Property of Addition

c)

Addition Property of Equality

d)

Subtraction Property of Equality

51.

Which of the following statements matches the algebraic equation?

2(x − 3) = 3x + 1

a)

Two times the difference of a number and three equals one more than three times the number.

b)

Two times a number, decreased by three, is three times the number plus one.

c)

A number decreased by three is one more than one-third of the number.

d)

The product of two and a number, minus three, is the difference between the number and one.

52.

Which of the following graphs best represent the solution to the inequality?

12x−2≥−3\frac{1}{2}x-2\ge-3

a)

b)

c)

d)

53.

Select all of the following that are solutions to the given inequality.

3 − 2.3x > 0.7

a)

5

b)

0

c)

3

d)

-1

e)

-2

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