Quiz about 8th Grade Math Final Exam Review 4

Question 1

What is the value of x for the equation below?

-5x + 27 = 3(3x - 9)

Accepted Answer

3.85

Answer

3.65

Answer

2.68

Answer

2.95

Question 2

Papa Smurf is comparing how loan lengths affects the cost of credit on a $9000 loan. From the table, he sees that as the loan length increases, the monthly payment decreases. At the end of one year, how much more would Papa Smurf repay on the 24-month loan than he would repay on the 36-month loan?

Accepted Answer

$1499.40

Answer

$746.52

Answer

$2245.92

Answer

$2691.36

Question 3

Lucy deposited $1000 into an account that earns 5% compound interest. How much interest will Lucy earn after 10 years?

Accepted Answer

628.89

Answer

611

Answer

589.99

Answer

700

Question 4

Melinda is trying to decide between two different storage containers. She wants to purchase the container that has more volume. Which shape should she use. What is the difference in their volumes? (The diameter of the cylinder is 20 in.)

Accepted Answer

The cylindrical container is larger and has difference in volume is 1056 in³

Answer

The rectangular container is larger and has a volume of 7,536 in³

Answer

The rectangular container is larger and has a volume of 6,480 in³

Answer

The cylindrical container is larger and has a volume of 6,480 in³

Question 5

Shawn wants to cover the roof (including the front and back triangular facing sides) of his shed. Tin roofing material costs $3 per square foot. What is the total cost of the roofing material?

Accepted Answer

$2,448

Answer

$2,300

Answer

$2,408

Answer

$2,600

Question 6

The water levels of five Texas lakes were measured on the same day in 2010. The table below shows the number of feet above or below normal level for each lake.

Write a list that shows the numbers in the table from greatest to least?

Accepted Answer

0.16, 0.1, 0.07, -1.43, -2.65

Answer

0.1, 0.07, -1.43, -2.65, 0.16

Answer

0.07, 0.16, 0.1, -1.43, -2.65

Answer

-2.65, -1.43, 0.07, 0.16, 0.1,

Question 7

Decide which table or tables represent a linear function.

Accepted Answer

II and III

Answer

I and II

Answer

I only

Answer

II only

Question 8

Look at the graph.

Write a rule that explains the transformation. What type of a transformation occurred?

Rule: (x, y) --> ( , )

Transformation: __________________

Accepted Answer

(x-4 , y-9)

Answer

(2x, 2y)

Answer

(x-4, y-8)

Answer

(x+4, y+9)

Question 9

A sphere fits snugly inside a 6-in. cube as shown.

What is the volume of the region inside the cube but outside the sphere?

Accepted Answer

102.9 cubic inches

Answer

106.9 cubic inches

Answer

104.9 cubic inches

Answer

108.9 cubic inches

Question 10

Labeling paper covers the lateral area of a soup can like the one shown below. How much labeling paper is needed for 8 soup cans? (The radius of the cylinder is 2.5 in.)

Accepted Answer

502.4 in2

Answer

541.65 in²

Answer

251.2 in2

Answer

62.8 in2

Question 11

Depeche Mode is playing a concert in the shaded square shown below. How much square footage do they have available to set up the stage?

Accepted Answer

66 square feet

Answer

76 square feet

Answer

86 square feet

Answer

96 square feet

Question 12

A weightlifter is adding plates of equal weight to a bar. The table below shows the total weight, including the bar, that he will lift depending on the total number of plates on the bar.

Accepted Answer

The bar weighs 45 lb without any plates.

Answer

The bar weighs 70 lb without any plates.

Answer

The bar weighs 25 lb without any plates.

Answer

The bar weighs 35 lb without any plates.

Question 13

What is the value of x in the equation below?

5.2x - 3.9 = 9.3x + 2.5

Accepted Answer

-1.56

Answer

-1.35

Answer

1.56

Answer

1.35

Question 14

Which representation shows the same relationship as y = 8x + 4 ?

Accepted Answer

Option C is correct

Answer

{(13, 108), (10, 94),

(4, 36), (-3, -20)}

Answer

B.

Answer

D.

Question 15

Plot the following numbers on the number line and list them in descending order.

-2.8 1 2.3 -2

Accepted Answer

2.3, 1 , -2 , -2.8

Answer

-2.8, 2.3, 1 , -2 ,

Answer

-2, 2.3, 1 , , -2.8

Answer

2.3, -2 , -2.8, 1

Question 16

How would you write 4.3756 x 10⁴in standard form?

Accepted Answer

43,756

Answer

437,560,000

Answer

0.00043756

Answer

4,3756

Question 17

In order to multiply powers with the same base, we add their exponents.

Accepted Answer

True

Answer

False

Question 18

When dividing powers with the same base, you _______________ the exponents.

Accepted Answer

Subtract

Answer

Add

Answer

Multiply

Answer

Divide

Question 19

Anything raised to a power of zero is always:

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 20

(0,9) Translate 3 units left and 2 units down

Accepted Answer

(-3, 7)

Answer

(3, 11)

Answer

(-2, 6)

Answer

(-3, 11)

Question 21

Reflect (6, -3) over the line x-axis.

Accepted Answer

(6, 3)

Answer

(-6, -3)

Answer

(-3, 6)

Answer

(3, -6)

Question 22

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

Accepted Answer

(3,4)

Answer

(-4,-3)

Answer

(-4,3)

Answer

(4,-3)

Question 23

^{Find the missing side}

Accepted Answer

20

Answer

29.2

Answer

400

Question 24

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

Accepted Answer

40 miles

Answer

17 miles

Answer

32 miles

Question 25

^{Find the missing side}

Accepted Answer

36

Answer

76.8

Answer

12

Question 26

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across the field. How far do the players run?

Accepted Answer

150 meters

Answer

105 meters

Answer

79.4 meters

Question 27

Find the distance between ( 1, 3) and (5, 6)

Accepted Answer

5

Answer

3

Answer

4

Question 28

What is the distance between the two points?

Accepted Answer

6.3

Answer

6.5

Answer

6.7

Question 29

Find the volume to the nearest tenth using 3.14 instead of Pi.

Accepted Answer

282.6 in3

Answer

94.2 in3

Answer

235.5 in3

Question 30

Find the volume to the nearest hundredth using 3.14 instead of Pi.

Accepted Answer

418.00 cm³

Answer

139.33 cm³

Answer

130.62 cm³

Question 31

Find the volume to the nearest hundredth using 3.14 instead of Pi.

Accepted Answer

5572.45 cm³

Answer

506.59 cm³

Answer

126.65 cm³

Question 32

Find the volume to the nearest hundredth using 3.14 instead of Pi.

Accepted Answer

179.50 cm³

Answer

205.15 cm³

Answer

51.29 cm3

Question 33

Find the volume to the nearest whole number using 3.14 instead of Pi.

Accepted Answer

151 ft3

Answer

152 ft3

Answer

150 ft3

Question 34

Find the volume to the nearest hundredth using 3.14 instead of Pi.

Accepted Answer

12.56 ft3

Answer

37.68 ft3

Answer

18.84 ft3

Question 35

Find the distance.

Accepted Answer

11.7

Answer

9.7

Answer

10.7

Question 36

Find the distance between (-5, -8) and (-1, -16).

Accepted Answer

8.9

Answer

9.8

Answer

10.3

Question 37

Emily needs to make party hats in the shape of a cone. She wants the hat to have a radius of 6 inches and a height of 15 inches. What is the volume of the party hat?

Accepted Answer

565.2

Answer

94.2

Answer

2260.8

Question 38

A cylindrical can of corn has a diameter of 5 inches and a height of 5 inches. What is the volume of the can?

Accepted Answer

98.1

Answer

39.3

Answer

392.5

Question 39

Erica has a sphere shaped ball that has a diameter of 4 inches. Ernest has a sphere shaped ball that has a radius 4 inches. How much more volume does Ernest's ball have than Erica's ball?

Accepted Answer

234.4

Answer

33.5

Answer

267.9

Question 40

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

Accepted Answer

10 feet

Answer

8 feet

Answer

5.29 feet

Question 41

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Accepted Answer

27 feet

Answer

25 feet

Answer

26 feet

Question 42

Find the distance between J and K.

Accepted Answer

8.2

Answer

7.7

Answer

9

Question 43

Solve for x

Accepted Answer

x=6

Answer

x =1/6

Answer

x = 7

Answer

x=9

Question 44

Simplify the expression:
6 + 2(7x - 3)

Accepted Answer

14x

Answer

12 + 7x

Answer

8x + 6

Answer

9 + 7x

Question 45

What is the measure of < x in degrees?

Accepted Answer

113

Answer

53

Answer

60

Answer

67

8th Grade Math Final Exam Review 4

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