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Worksheets8th Grade Spring Benchmark Review
Total questions: 45
Worksheet time: 6hrs 50mins
Name
Class
Date
1.
Write an equation for the table below.
x y
1 8
2 11
3 14
5 20
a)
y = 1/3x + 5
b)
y = 3x + 5
c)
y = 1/3x + 8
d)
y = 3x + 8
2.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
3.
Which equation represents the linear relationship shown in the table.
x y
-4 6
0 5
4 4
12 2
a)
y = 4x - 6
b)
y = -4x + 6
c)
y =¼x + 5
d)
y = -¼x + 5
4.
Which equation represents the line shown?
a)
y = -2x + 4
b)
y = 2x - 4
c)
y = 1/2x + 4
d)
y = -1/2x - 4
5.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
6.
If the carpenter worked for 6 days, how much did he earn?
a)
1250
b)
1500
c)
1750
d)
2000
7.
Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-1, 4)
b)
(1, -4)
c)
(-4, 1)
d)
(4, -1)
8.
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?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
9.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
10.
The longest side of a right triangle is called a(n)...
a)
leg
b)
theorem
c)
hypotenuse
d)
square root
11.
Which description matches this graph?
a)
non-linear non-function that is non-proportional
b)
linear non-function that is non-proportional
c)
non-linear function that is proportional
d)
linear function that is non-proportional
12.
Which of the following tables is proportional?
a)
x -1 0 1 3
y 4 5 6 7
y 4 5 6 7
b)
x -2 0 1 2
y -4 -2 0 2
y -4 -2 0 2
c)
x 1 3 4 7
y 3 9 12 21
y 3 9 12 21
d)
x 1 2 3 4
y 5 6 7 8
y 5 6 7 8
13.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
14.
Which list of numbers is in order from least to greatest?
a)
A √23, 5, 6, 43%
b)
B 5, √23, 6, 43%
c)
C 43%, 5, √23, 6
d)
D 43%, √23, 5, 6
15.
The numbers 0, 1, 2, 3, ... are called what?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
16.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called what?
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
17.
Classify 3 in as many subsets of numbers as possible.
a)
Natural (N), Whole (W), Integer (Z), Rational (Q), Real (R)
b)
Whole (W), Rational (Q), Real (R)
c)
Integer (Z), Real (R)
d)
Rational (Q), Real (R)
18.
Write 4.3756 x 104 in standard form.
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
19.
Write 0.0005 in scientific notation.
a)
50.0 x 10-5
b)
5.0 x 10-4
c)
5.0 x 10-3
d)
.50 x 103
20.
Find the lateral surface area.
a)
84 m2
b)
96 m2
c)
52.3 m2
d)
890 m2
21.
Find the surface area.
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
22.
Find the lateral surface area of a can of beans if the diameter is 10 cm and a height of 15 cm. Leave your answer in terms of π.
a)
375π cm2
b)
200π cm2
c)
150π cm2
d)
275π cm2
23.
Robin is designing a new label for a cylindrical package of disinfecting wipes. The container has a diameter of 4 inches and a height of 7 inches. How much space will the new label cover?
a)
87.92 in3
b)
87.92 in2
c)
113.04 in2
d)
150 in3
24.
What is the total surface area of the cylinder to the nearest square inch?
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
25.
Find the volume of the following cone. Leave your answer in terms of π.
a)
156π m3
b)
702π m3
c)
2,106π m3
d)
78π m3
26.
You have a globe that has a radius of 11 inches. Which of the following is the closest to the volume of the globe?
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
27.
Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?
a)
314 cubic feet
b)
942 cubic feet
c)
2,958 cubic feet
d)
3,768 cubic feet
28.
A party hat, in the shape of a cone, has an opening of 6 inches, and a height of 9 inches. Which measurement is closest to the volume of the hat?
a)
84.78 in.3
b)
339.29 in.3
c)
1017.36 in.3
d)
56.52 in.3
29.
Write a rule for the translation.
a)
(x - 1, y + 2)
b)
(x - 2, y + 1)
c)
(x + 2, y - 1)
d)
(x + 1, y - 2)
30.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
31.
Which of the transformation rules results in a 180 rotation?°
a)
(-x, y)
b)
(x, -y)
c)
(y, -x)
d)
(-x, -y)
32.
Which of the transformation rules results in a 90° clockwise rotation?
a)
(-x, y)
b)
(x, -y)
c)
(y, -x)
d)
(-x, -y)
33.
Which of the transformation rules results in a 90 degree counterclockwise rotation?
a)
(-x, y)
b)
(-y, x)
c)
(y, -x)
d)
(-x, -y)
34.
Which of the transformation rules results in a reflection over the y-axis?
a)
(-x, y)
b)
(x, -y)
c)
(y, -x)
d)
(-y, x)
35.
Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?
a)
2 hours
b)
3 hours
c)
4 hours
d)
5 hours
36.
Solve.
½x - 6 = ¼x + 4
½x - 6 = ¼x + 4
a)
s = -40
b)
s= 40
c)
s=20
d)
s= -20
37.
Select the situation that could be modeled by: 120 + 25x = 45x.
a)
John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?
b)
George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?
c)
Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?
d)
A cell phone company charges $25 for service and $120 per gigabyte. Another company charges $45 per gigabyte. For how many gigabytes would the price be the same?
38.
Solve.
.5x - 1 = .25x + 2
.5x - 1 = .25x + 2
a)
x = 3
b)
x = -12
c)
x = 12
d)
x = -3
39.
Solve:
2(2x + 3) = -6(x + 9)
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
40.
8x - 8 = -4x + 16
a)
x = 8
b)
x = 16
c)
x = 24
d)
x = 2
41.
10x + 9 = 4x - 9
a)
x = 0
b)
x = 3
c)
x = -3
d)
no solution
42.
7w + 5 = 3w - 15
a)
w = 5
b)
w = -2
c)
w = 2
d)
w = -5
43.
x + 12 = 16 - x
a)
all real numbers
b)
x = 28
c)
x = 4
d)
x = 2
44.
3x - 7 = -5x + 17
a)
x = 5
b)
x = 12
c)
x = 3
d)
x = -12
45.
16 + 4x = 34 + 4x
a)
all real numbers
b)
no solution
c)
x = 0
d)
missing information
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