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Worksheets

8th Grade Math

Total questions: 21

Worksheet time: 11mins

Name
Class
Date
1.

Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W'K'R'P'. Which rule describes this transformation?

a)

(x y, ) → (x − 4, y + 5)

b)

(x y, ) → (x + 4, y − 5)

c)

(x y, ) → (x + 4, y − 5)

d)

(x y, ) → (x − 4, y − 5)

2.

Which representation shows y as a function of x?

a)
b)
c)
d)
3.

A bowling ball shaped like a sphere has a diameter of 21.6 centimeters. Which measurement is closest to the volume of the bowling ball in cubic centimeters?

a)

1,954.3 cm 3

b)

5,276.7 cm 3

c)

488.6 cm 3

d)

42,213.4 cm 3

4.

A customer will borrow $12,000 to buy a car. Which loan option would allow the customer to pay the least amount of interest?

a)

A 4-year loan with a 5.2% annual simple interest rate

b)

A 5-year loan with a 4.2% annual simple interest rate

c)

A 6-year loan with a 4.7% annual simple interest rate

d)

A 3-year loan with an 8.4% annual simple interest rate

5.

5Which table represents a non-proportional relationship between x and y?

a)
b)
c)
d)
6.

Triangle TRW is shown on the coordinate grid.

Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R'?

a)
b)

( 3− n, −5n)

c)

( -3 + n, −5 + n)

d)

( -3 − n, − 5 -n)

7.

A student’s parents invested $5,000 in a college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made. Which amount is closest to the interest earned on the account at the end of 15 years?

a)

$5,174.11

b)

$10,174.11

c)

$3,637.50

d)

$8,637.50

8.

Triangle XYZ is rotated 90° clockwise about the origin to form triangle X Y′ ′Z′.

Which statement is true?

a)

The sum of the angle measures of triangle XYZ is 90° less than the sum of the angle measures of triangle X Y′′′ Z .

b)

The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X Y′′′ Z .

c)

Triangle XYZ is not congruent to triangle X Y′′′ Z .

d)

The area of triangle XYZ is equal to the area of triangle X Y′′′ Z .

9.

A college has two classrooms of students.

• Classroom A had 70 students.

• Classroom B had 30 students.

• Classroom A sent groups of 4 students to Classroom B until both classrooms had the same number of students.

The equation shown can be used to find the number of groups that Classroom A sent to Classroom B so each classroom had the same number of students.

70 - 4x = 30 + 4x

How many groups did Classroom A send to Classroom B?

4 lines
10.

A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.

Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

a)

t = 15w − 275

b)

t = −15w + 275

c)

t = 275w − 15

d)

t = −275w + 15

11.

The scatterplot shows the height in centimeters and weight in kilograms of several students.

Based on the scatterplot, which is the best prediction of the height in centimeters of a student with a weight of 64 kilograms?

a)

152 cm

b)

160 cm

c)

162 cm

d)

156 cm

12.

A transformation is applied to a figure to create a new figure on a coordinate grid. Which transformation does NOT preserve congruence?

a)

A rotation of 270° counterclockwise

b)

A reflection across the y-axis

c)

A dilation by a scale factor of 1.5

d)

A translation of 50 units down

13.

A teacher bought markers at a cost of $3 per set. The teacher had a $2-off coupon to use toward the total cost of the markers bought.

Which table shows the relationship between x, the number of sets of markers bought by the teacher, and y, the total cost of the markers?

a)
b)
c)
d)
14.

The diameter of a cylinder is 2.5 inches, and the height is 7.5 inches. Which equation can be used to find V, the volume of the cylinder in cubic inches?

a)
b)
c)
d)
15.

Triangle KLM and triangle PRS are similar right triangles.

Which proportion can be used to show that the slope of KM is equal to the slope of PS?

a)
b)
c)
d)
16.

The table shows the diagonal lengths of TV screens at a store.

Which TV screen has the smallest diagonal length in feet?

a)

W

b)

X

c)

Y

d)

Z

17.

A math teacher observed that as the number of hours students studied their multiplication facts increased, the number of errors the students made on their multiplication tests decreased. Which scatterplot could support this teacher’s observation?

a)
b)
c)
d)
18.

The diagram shows the height of a cone that holds ice cream. The cone has a volume of 1.5π cubic inches.

Which measurement is closest to the radius of the cone in inches?

a)

0.6 in.

b)

1.4 in.

c)

1.0 in.

d)

0.5 in.

19.

Which set of ordered pairs represents y as a function of x?

a)

{(0, 0.5), (2, 1.5), (−5.5, 5), (−5.5, −6)}

b)

{(5, −7), (3, −7), (−9.2, −7), (9.2, −7)}

c)

{(9.3,-1), (7.3, -2), (7.3, 2), (9.3, 1)}

d)

{(8.1, 9), (9.1, 10), (10.1, 9), (9.1, 8)}

20.

Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park. Polygon LMNPQR will be dilated with the origin as the center of dilation to create polygon L M′ ′N′P′Q′R′. The vertex Q′ will be located at (21, 7).

Which rule best represents the dilation?

a)
b)
c)
d)
21.

The graph of a linear function passes through the points (-1, -1/4) and (1, -3/4).

Which equation represents the function?

a)
b)
c)
d)