8th Grade Math 4th Checkpoint Test Review 2016
1)
The number of hours, h, that Mr. Hampton works varies directly with the number of tasks, t, he has to perform. If he
has 9 tasks to perform and works for 18 hours, what is k the constant of variation?
2)
If y varies directly as x. When x is equal to 8, y is equal to 6. What does x equal when y = 18?
3)
What are slope and y-intercept of the line in the given graph?
6
5
4
3
2
1
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
-1
-2
-3
-4
-5
4)
5)
The coordinates in the given table represent a linear relationship. Use
this information to find the
-6
slope and y-intercept for the graph of that line.
X
─4
0
4
8
Y
─9
─6
─3
0
Determine the distance between (‒7, ─6) and (8, 2)
10
9
8
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
1 2 3 4 5 6 7 8 9 10
6)
A building company could add 4 floors to a building each week. The graph below shows this
proportional relationship.
28
24
Number
Of Floors
20
16
12
8
4
1
2
3
4
5
6
7
8
9 10
Number of Weeks
Which statement below best describes the proportional relationship found in the graph?
F.
The graph represents y = 8x, which is a line passing though (0,0) with a slope of 8. The slope of
8 is the rate of change of the tree each year.
G.
The graph represents y = 4x, which is a line passing though (0,0) with a slope of 4. The slope of
4 is the rate of change of the tree each year.
H.
The graph represents y = x/4, which is a line passing though (0,0) with a slope of
1/4. The slope of 1/4 is the rate of change of the tree each year.
J.
The graph represents y = 2x, which is a line passing though (0,0) with a slope of 10. The slope
of 2 is the rate of change of the tree each year.
7)
Dust mites are microscopic creatures that feed on flakes of skin that people and animals shed. These
organisms are 0.000000024 meters in length. What is this length expressed in scientific notation?
8)
The diameter of a blood cell is measured in micrometers. A micrometer is 0.000001 meter. What is
this length expressed in scientific notation?
9)
Ground beef is sold for $9.00 per 2 pounds. The graph below shows this proportional relationship
30
27
24
21
Cost
18
15
12
9
6
3
0
1
2
3
4
5
6
7
8
9 10 11 12 14 16
Pounds
Which statement below best describes the proportional relationship found in the graph?
10)
A.
The graph represents y = 4.5x, which is a line passing though (0,0) with a slope of
4.5. The slope of 4.5 is the rate of change of the cost per pound.
B.
The graph represents y = 9x, which is a line passing though (0,0) with a slope of 9. The slope of
9 is the rate of change of the cost per pound.
C.
The graph represents y = x/2, which is a line passing though (0,0) with a slope of
1/2. The slope of 1/2 is the rate of change of the cost per pound.
D.
The graph represents y = 2x, which is a line passing though (0,0) with a slope of 2. The slope of
2 is the rate of change of the cost per pound.
Gloria, Peyton, Ryan, and Santos each grew a crystal for a school project. They measured and
recorded the heights of the crystal in millimeters, as shown below. Which student's crystal grew
proportionally over time?
Student
Peyton
Gloria
Ryan
Santos
11)
Height (mm)
Start
Day 3
Day 4
Day 6
0
0
3
5
8
10
12
15
0
0
4
3
6
9
10
11
A human red blood cell is about 0.00000018 meter in diameter. Which of the following represents
this number in scientific notation?
12)
Janet is using the buttermilk pancake recipe shown below. The recipe makes
12 pancakes. If Janet wants to make 48 pancakes, how much of each ingredient does she
need?
Eggs = _________
Yogurt cups =_________
Buttermilk cups =________
Oil cups =_________
Pancake mix cups =________
13)
The table lists several points that form a line on a coordinate plane. Based on the information in the
table, what are the y-intercept and slope of the line described by these points?
x
y
14)
5
─3
10
─1
20
3
30
7
In the diagram, lines l and m are parallel. Line n is a transversal that creates eight angles with the
parallel lines. If 1  100 , find the degree of the following angles.
o
2 
3 
4 
5 
6 
7 
8 
15)
Triangle ABC is graphed on the coordinate grid below. What is the length of side AB?
10
9
8
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
A
C
1 2 3 4 5 6 7 8 9 10
B
16) Triangle ABC and Triangle EFD are shown below.
A
100
D
o
40
100
40
C
o
F
o
o
B
E
Based on the given information in the triangles, determine if Triangle ABC is similar to Triangle EFD,
and state why.
17)
The student council is selling roses to collect funds for a charity. The graph below compares the
number of roses purchased and total cost. Based on the information in the graph, what is the unit
cost per rose?
28
24
20
Total Cost (dollars)
16
12
8
4
0
1
2
3
4
5
6
7
8
9 10
Number of Roses
18)
The graph of a linear function is shown on the coordinate grid. What is the y-intercept of the graph
of the linear function?
─4, 5
10
9
8
7
6
5
4
3
2
1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
1 2 3 4 5 6 7 8 9 10
8,─ 1
19.
Judy can decorate 3 cakes in 1 hours. Which graph has a slope that best represents the number of
cakes per hour Judy can decorate?
A.
B.
C.
D.
20)
The coordinates of the vertices of the triangle shown are P (1, 10), Q(14, 1) and R(1, 1). What is
the length of segment PQ in units?
12
11
P
10
9
8
7
6
5
4
3
2
1
0
21)
Q
R
1
2
3
4
5
6
7
8
9
10
12
13
14
15
Which of the following is not correct? Name the three correct ones.
A)
B)
125º
Circle the correct one for each
angle
125º
Alternate interior A B C D
Alternate exterior A B C D
Corresponding A B C D
C)
D)
75º
75º
110º
22)
Sal purchased some art supplies and card stock in order to make greeting cards. The graph below
shows the relationship between the number of cards Sal makes and the total cost of the materials
used to make the cards.
Cost of Making Greeting Cards
28
9, 24
(Dollars)
Total Cost
24
20
16
3, 12
12
8
4
0
1
2
3
4
5
6
7
8
9 10
Answer ___________
Number of Cards Made
Based on the graph, what will be the total cost of making 35 greeting cards?
23) In the diagram below, RSTU is a rectangle, and the two shaded regions are squares.
If the length of
is 6 m and the length of
A)
64
B)
256
C)
136
D)
144
is 10 m, what is the length of
in meters?