Math 8 SOL Study Guide
Due: Thursday, April 16th
Name: ___________________________________
1. Create a function table for the line shown on the graph and find the equation of the line.
X
Y
2. Find the perimeter and area of the following figure:
8 in
3 in
8 in
5 in
Perimeter = _______
Area = _______
𝑥
3. Find the coordinate points that satisfy the following equation: y = 2 – 1
A)
B)
C)
D)
E)
(0, 0)
(2, -1)
(2, 0)
(0, -1)
(4, 1)
Math 8 SOL Study Guide
Due: Thursday, April 16th
4. Identify the type of transformation that is occurring from the shaded figure to the white
figure in each picture:
F ___________________________________ G ___________________________________
H ___________________________________ J ___________________________________
5. Triangle ABC has vertices A (1, 1), B (3, 1), and C (-2, 2).
Find the coordinates of vertices A´, B’, and C’ after a
reflection of  ABC over the y-axis by drawing  ABC
and its image.
Math 8 SOL Study Guide
Due: Thursday, April 16th
6. Graph the following function: f(x) = -3x + 2
7. The square root of 55 is between which two perfect squares? (do not use a calculator)
8. Create a table for the following equation with at least three points: y = -5x + 7
What is your domain? What is your range?
x
y
Domain:
0
1
Range:
2
9. Ethan is a goalkeeper for a soccer team. So far he has blocked 30 out of 60 shots. Based
on this information, what is the most reasonable prediction for the number of shots
Ethan will block out of 80 shots?
Math 8 SOL Study Guide
Due: Thursday, April 16th
10. Which numbered triangle shows where the shaded triangle would be if it were
translated 3 units to the right and 2 units down?
11. Which graph matches the following function: f(x) = 2x -5 (Hint: use the points marked
and plug in the x-values)
Math 8 SOL Study Guide
Due: Thursday, April 16th
12. What is the domain of the relation?
(5, 7), (6, 8), (0, 2), (9, 11)
A) {5, 7, 6, 8}
B) {5, 6, 0, 9}
C) {7, 8, 2, 11}
D) {0, 3, 9, 11}
13. On her first math benchmark, Cindy scored an 88%. On the second math benchmark,
she scored a 75%. What is the approximate percent decrease in her score?
A)
B)
C)
D)
13%
15%
17%
19%
14. A square table 4 feet on each side has two drop leaves, each a semicircle 4 feet in
diameter:
4 ft
4 ft
4 ft
Find the distance around the table.
Math 8 SOL Study Guide
Due: Thursday, April 16th
15. Mrs. Jenkins surveyed students about their favorite cereals. Out of 30 students,
10 chose Fruit Loops, 5 chose Frosted Flakes, and 15 chose Mini Wheats. If 300 students
were surveyed, which proportion could be used to find A, the number of students who
would be expected to choose Frosted Flakes?
A
30
A
=
300
5
B
A
300
=
30
A
C
5
A
=
300
30
D
5
A
=
30
300
16. A swimming pool is 20 feet long, 15 feet wide, and 8 feet deep. How much water can it
hold?
17. Evaluate: ̶ √225
18. Last year it cost $12,000 to attend VCU. This year’s tuition will be $12,500. What is the
percent of increase? Round to the nearest tenth.
Math 8 SOL Study Guide
Due: Thursday, April 16th
19. Find the surface area for the following net.
20. Which is the graph of the function with the equation 2(-x + 2) – 4 = y
A.
B.
B.
C.
D.
21. Given the function of x defined by
range?
Math 8 SOL Study Guide
Due: Thursday, April 16th
if the domain is {–4, –1, 2, 5}, what is the
A.
B.
C.
D.
22. Frankie has rented a car from Dave’s Motors and Stuff. The initial cost to rent the car was
$250. Then there was an additional cost of $0.50 per mile. Write an equation to find the
total cost of renting a car from Dave’s Motors and Stuff. (Use m for miles and t for total).
What is the dependent variable in your equation? What is the independent variable in your
equation?
If Frankie drove 50 miles, how much would the total cost be of renting the car?
If Frankie paid $415 to rent the car, how many miles did he drive?
Math 8 SOL Study Guide
Due: Thursday, April 16th
23. Find the volume of the figure below.
24. Solve for x and graph your solution:
2𝑥+3
4
< 12
(you may get a decimal answer)
25. Box 1 measures 4cm in length, 11cm in width, and 5cm in height. Box 2 has the same
dimensions except the height is tripled. Which phrase accurately describes the volume
of Box 2 in comparison to Box 1?
A)
B)
C)
D)
The volume is 3 times as much.
The volume is 9 times as much.
The volume is increased by 3 cubic centimeters.
The volume is increased by 9 cubic centimeters.
Math 8 SOL Study Guide
Due: Thursday, April 16th
26. What kind of trend is shown in the scatterplot? Draw the line of best fit. Predict the
attendance if the cost of admission reaches $10.
This scatterplot has a __________________________ trend.
The attendance will be about _______ people if the cost of admission reaches $10.
27. Which equation represents the relation containing the points (1, 4), (5, 8), (-2, 1)?
A)
B)
C)
D)
y = 3x
x = 3y
y=3+x
x=3+y
28. Solve for x and graph your solution: 4 – 11x ≤ -40
Math 8 SOL Study Guide
Due: Thursday, April 16th
29. Ben wants to give Mrs. Dixon a can of Pringles as a gift. How much wrapping paper will
he need to cover the whole can?
30. Last spirit day, 60% of the students at WGMS wore orange. If 340 wore orange, how
many students are there at WGMS?
31. Find the volume of the figure below.
32.32.
The number -7 belongs to which subsets of real numbers?
A.
{whole numbers, integers}
B.
{whole numbers, irrational}
C.
{integers, rational}
D.
{integers, irrational}
Math 8 SOL Study Guide
Due: Thursday, April 16th
33.
34.
You want to buy a dolphin for $21,500. Virginia Credit Union will loan you the money
at an interest rate of 6%. At the end of five years, how much will you owe the bank
in interest?
Think about the procedure for solving the following equation. Write down the
justification for each step.
(WORD BANK: Inverse Property of Addition, Identity Property, Distributive Property)
Given:
3(x – 7) = -6
Given
Step 1:
3x – 21 = -6
___________________________________________
Step 2:
3x = 15
___________________________________________
Step 3:
x=5
___________________________________________
35. Which best describes the subset of real numbers to which
belongs?
A. {counting numbers, whole numbers, integers, rational numbers}
B. {integers, rational numbers}
C. {irrational numbers}
d.
{whole numbers}
Math 8 SOL Study Guide
Due: Thursday, April 16th
Math 8 SOL Study Guide
Due: Thursday, April 16th