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Grade 8 Math

SOL Simulation

Calculator Active

TI-30XaSEVA

(2)

Reporting Category: Number, Number Sense, Computation and Estimation

SOL 8.4

1. Which expression has a value of 34 when n equals 5?

A (6 ÷ 2) 3 + n

B (33 + 2) + n

C (6 + 2)3 – n

D (6 ÷ 23) – n

SOL 8.3

2. This chart shows the breakdown of the money collected during a 6th

grade fundraiser.

Dinner Ticket Sales

Number of

Tickets Sold TicketsCost of

313 $7.95

The money collected from the fundraiser was invested in a savings account at 6.5% simple interest. How much will the class withdraw after 2.5 years when they are 8th graders?

A $2,892.71

B $2,488.35

C $404.36

(3)

SOL 8.1

3. Place the rational numbers in order from least to greatest.

I

1 6

II

2.7 x 10-2

III

0.2

IV

16%

A III, I, IV, II

B II, I, IV, III

C IV, I, III, II

D II, IV, I, III

SOL 8.2

4. Which statement is always true?

A Some whole numbers are irrational numbers.

B All natural numbers are rational numbers.

C All rational numbers are integers.

D All integers are whole numbers.

SOL 8.3

5. In the school library, there are 28 fiction items to every 3 non-fiction items. Which is the best estimate of how many total items are in the library if there are 52 non-fiction items?

A 537

B 485

C 156

(4)

SOL 8.5

6. Which labeled point on the number line is closest to

260

?

A F

B G

C H

D J

SOL 8.2

7. Select all of the following numerical values that represent integers.

A

B

C

D

15 16 17

14

H

(5)

SOL 8.3

8. Emily and Dominique went out for lunch. Emily ordered a Turkey Melt and Iced Tea while Dominique ordered The James Dean and Coffee. They gave the waitress $25.00 and told her to keep the change. Approximately what percent tip did the waitress receive?

A 9%

B 12%

C 15%

(6)

SOL 8.1

9. Which operation is performed last when simplifying the following expression?

10+2

(

1 .5−33 7

)

1 4 A Multiplication B Subtraction C Addition D Division SOL 8.5

10. Markus wants to use blue and green tiles to create a square mosaic. The length of each side will be a whole number. Select all of the possible areas for his finished project.

A I, II, and IV

B II, III, and IV

C II, V, and VI

D III, V, and VI I

50 in2

II

88 in2

III

144 in2

IV

200 in2

V

289 in2

VI

(7)

SOL 8.3

11. Anna charges $45 for the bracelets she sells at her boutique. It costs her $16 to make the bracelets. Which is closest to the percent markup in cost?

A 36%

B 64%

C 155%

D 181%

SOL 8.1

12. Evaluate the expression.

125

52 −

52−3+4 0

A 19

B 6.5

C -1

(8)

SOL 8.4

13. Which sequence of steps correctly simplifies the expression below in a logical order?

y

3

4

x

y

if

x

=

4

and

y

=

3

.

I

3

3

4

(

4

)

3

II

4

3

4

(

3

)

4

III

27

16

3

IV

V

64

12

4

VI

A II, V, VI

B I, III, IV

C I, IV, III

D II, VI, V

SOL 8.1

14. Which list is in descending order?

A 6 .2×10

1, 75 %, 0 . 725, 6 . 8

×10−1, 5 8

B 75 %, 0. 725, 5

8, 6 . 2×10

1, 6 . 8 ×10−1

C 6 .2×10

1, 75 %, 0 . 725, 5

8, 6 . 8×10

−1

D 5

8, 6.8×10

−1, 0 .725, 75 %, 6 . 2

(9)

Reporting Category: Measurement and Geometry

SOL 8.8

15. What are the coordinates of B’ if triangle ABC is reflected over the y-axis?

A (-4, -2)

B (-4, 2)

C (4, -2)

D (4, 2)

A

(10)

SOL 8.9

16. Select all three-dimensional models that could match the front, right, and top views presented below.

A I, III, and IV

B I, II, and III

Right Front

I.

Front

Right II.

Right Front

III.

Right Front

IV.

(11)

C I and II only

D I and III only SOL 8.10

17. Diego and his father decided to camp out in the backyard. They pitch a tent with slanted sides that are both 5 feet long. The bottom of the tent is 6 feet across. What is the length of the zipper down the center of the tent?

A 3.32 feet

B 4 feet

C 4.5 feet

D 5 feet

SOL 8.6

18. Look at these angles.

Which two angles are supplementary?

A ∠J and ∠M

B ∠K and ∠L

x

5

5’

(12)

C ∠K and ∠M

D ∠J and ∠L

SOL 8.7

19. One of the sets for the school play includes a square-based pyramid.

How much cloth will Min need to cover the entire square-based pyramid?

A 120 ft2

B 96 ft2

C 48 ft2

D 40 ft2

6 ft

(13)

SOL 8.6

20. Select all of the angle pair descriptions that describe the relationship for angle 4 and angle 5.

A I only

B II only

C I and II

D III and IV

I Adjacent Angles

II Complementary Angles

III Supplementary Angles

IV Vertical Angles

1 2

4 5

(14)

SOL 8.11

21. Find the approximate area of the shaded region.

A 43 cm2

B 63 cm2

C 114 cm2

D 157 cm2

SOL 8.6

22. The measure of ∠BNL is . What is the measure of ∠JND ?

A 147o

B 123o

C 57o

R

J

B L

N

10 cm

(15)

D 33o

SOL 8.7

23. The two triangular prisms shown have bases with the same area.

The volume of Prism G is 36 cubic inches. What is the volume of Prism H?

A 48 cubic inches

B 108 cubic inches

C 144 cubic inches

D 432 cubic inches

SOL 8.10

24. A construction worker needs to reach the top of a lamp post that is 8 feet off the ground. What is the minimum height of the ladder if he places the base of the ladder 6 feet from the lamp post?

A 100 feet

B 28 feet

4 in.

Prism G

1 2

in .

(16)

C 10 feet

D 5.29 feet

SOL 8.7

25. In honor of the 2014 Winter Olympics, Coca-Cola is manufacturing extra-large aluminum cans for a promotional display. The design team is using the net below to construct the cans.

Approximately how much aluminum would be needed to produce 25 of these large cans?

A 7 m2

B 31 m2

C 164 m2

D 401 m2

0.96 m

1.7 m

(17)

SOL 8.8

26. Which of the following figures has been rotated 270° clockwise about the origin?

A

B

C

(18)

27. Select all of the lengths that would make the figure below a right triangle.

A III and IV

B I and III

C II and V

D I and II

IV 13 in I

7 in 9 inII 12 inIII 25 inV

(19)

SOL 8.11

28. Which is the best estimate of the perimeter of the figure shown below?

A 136 mm

B 76 mm

C 50 mm

(20)

Reporting Category: Probability, Statistics, Patterns, Functions, and Algebra

SOL 8.15

29. Which of the following could be a solution to the inequality below?

10<n 2−4

A 8

B 20

C 28

D 31

SOL 8.17

30. Consider the coordinate grid below.

What is the range of the set of points?

A {(-3, -1), (-2, -2), (-1, -1), (1, 1), (2, 2), (3, 3)}

B {-3, -2, -1, 1, 2, 3}

C {-2, -1, 1, 2, 3}

(21)

SOL 8.16

31. The graph below shows how Susan’s savings account balance has changed over the course of one year.

Which accurately describes how much Susan has saved per month for the year?

A $100

B $125

C $150

(22)

SOL 8.13

32. This graph displays the low temperatures for Richmond, VA over five days in November.

Low Temperatures in Richmond, VA

30 35 40 45 50

11/4/2013 11/5/2013 11/6/2013 11/7/2013 11/8/2013

Date D eg re es F ah re n h ei t

The mean low temperature in Orlando, FL for these same dates was 66° F. What is the difference in the mean low temperatures of Orlando and Richmond for these five days, rounded to the nearest degree?

A 18° F

B 25° F

C 32° F

(23)

SOL 8.14

33. A catering company charges $50 and an additional $15 for every person who attends a dinner party. Which of the following graphs correctly represents the cost of a dinner party with this catering company?

A

B

C

(24)

SOL 8.15

34. What value of x makes the equation true?

A x =-3

B x =0

C x =3

D x =6 Key

= - x = x

= -1 = 1

(25)

SOL 8.16

35. Which point would lie on the graph of the equation below?

y

=

3

x

+

1

A point

A

B point

B

C point

C

D point

D

D

C

B

(26)

SOL 8.15

36. Seung solved the following equation. Which property was NOT used?

1

2

(

10

+

x

)=

15

1

2

(

x

+

10

)=

15

1

2

x

+

1

2

10

=

15

1

2

x

+

5

=

15

1

2

x

+

5

5

=

15

5

1

2

x

+

0

=

10

1

2

x

=

10

x

=

20

A Commutative Property of Addition

B Associative Property of Addition

C Additive Inverse Property

(27)

SOL 8.14

37. A line is graphed on the coordinate system below:

Which table was used to create the graph of the line?

(28)

SOL 8.14

38. Which verbal statement could have been used to create the given graph?

A The y-value is one less than twice the x-value.

B The y-value is two more than one-half of the x-value.

C The y-value is twice the x-value, increased by one.

(29)

SOL 8.12

39. Three spinners are divided equally as shown.

The arrow of each spinner is spun once. Which of the following has the greatest probability?

A P(a number less than 4, a vowel, and a heart)

B P(an odd number, a vowel, and a smiley face)

C P(an even number, the letter R, and a music note)

D P(a number greater than 4, a consonant, and a heart)

SOL 8.17

40. Maggie opened a savings account and deposited $200. She will deposit $50 into this account each week, w, and will make no withdrawals. The equation below shows how she will calculate the total amount in the account, t, after each deposit. Which of the following is the independent variable?

t=50w+200

(30)

D t SOL 8.14

41. In this letter game, the smallest score wins the game.

The number of points awarded for each word formed, p, can be

determined by finding the product of nine less the number of letters in the word, n, and five. Which equation could be used to determine the value of a word?

A

B

5

+

9

n

=

p

C

(31)

SOL 8.13

42. Lifeguards recorded the average daily temperature and the number of visitors at the beach each day for a week.

Their data is presented in the table below:

Average Daily Temperature

F) Visitors

82 85

84 225

86 300

86 365

87 340

88 450

89 525

Which statement is correct for this data set?

A The scatterplot would show a positive relationship because, as a general rule, the number of visitors increases as the temperature increases.

B The scatterplot would show a positive relationship because, as a general rule, the number of visitors decreases as the temperature increases.

C The scatterplot would show a negative relationship because, as a general rule, the number of visitors increases as the temperature increases.

(32)

SOL 8.12

43. Tylik has a set of cards that are the same size and shape.

5 blue cards

8 red cards

12 green cards

Which point on the number line correctly shows the value of the

probability that Tylik will randomly select a green card, NOT replace it, then randomly select a blue card?

1 2

A F

B G

C H

D J

0 1

(33)

SOL 8.15

44. Which graph represents the solution to-

−6x+18≤12

A

B

C

D

-2 -1 0 1 2 3 4

3 4 5 6 7 8 9

-2 -1 0 1 2 3 4

(34)

SOL 8.17

45. The following chart shows the relationship between water depth and water temperature.

Water Temperatures at Various Depths

Water Depth (meters)

Temperature (oC)

50 18

75 15

100 12

150 5

200 4

Choose the statement which is NOT true.

A Water Depth represents the independent variable.

B The range contains values that represent temperature.

C The set of output values {4, 5, 12, 15, 18} represent the domain.

(35)

SOL 8.15

46.

AB

is congruent to

CD

. Solve for x.

A x = 3.3

B x = 7

C x = 9

D x = 28

SOL 8.12

47. Marianne has some colored marbles that are the same size and shape.

The probability of randomly selecting a purple marble is 50%.

The probability of randomly selecting a green marble is 20%.

What is the probability Marianne will randomly select a marble that is NOT green, replace it, then randomly select a marble that is purple?

A 40%

B 25%

C 16%

A B

C D

F

(36)

D 10%

SOL 8.15

48. Which property justifies the work shown between steps 2 and 3?

A Additive Identity

B Distributive Property

C Associative Property of Addition

D Commutative Property of Addition 3(x – 5) + 2(6 – x) = 10

3x – 15 + 12 – 2x = 10 3x – 2x – 15 + 12 = 10

x – 3 = 10

x = 13

Step 1

Step 2 Step 3

(37)

SOL 8.13

49. Which scatterplot shows data with a negative relationship?

A

B

C

(38)

SOL 8.17 50.

I. II.

x y

-6 3

3 6

3 9

5 8

6 -3

III.

Identify all relations in which -3 is an element of the domain.

A I, II

B I, III

C II, III

D I, II, III

-13 -3

6 10 -3

4 5

Y

X

(39)
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(41)

References

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