CCSS Math 8 - Expressions and Equations Sample Questions and Answers
1. Which expression is equivalent to the given expression? 3x (x-2)
A. 3x2-6x
B. 3x-6
C. 3x2-6
D. 3x2-2
2. Simplify the following expression:
A.
𝑦3
3𝑥 4
𝑦2
B. 9𝑥 4
𝑦 3 ((3𝑥)−2 )
.
𝑦𝑥 2
3𝑥 4
C. 𝑦2
D.
9𝑥 4
𝑦2
3. Solve the following equation for x: 4 (x + 1) + 2x = 3x + 1
A. – ½
B. -1
C. 0
D. 1
27
4. Find the value of x: 2𝑥 =32
5.
6.
7.
8.
9.
A. 9
B. -9
C. 2
D. -2
The depth (d) in feet, of an aquatic robot (t) minutes after it is launched from a ship 12,189 feet above the ocean
floor is given by the formula, 𝑑 = −4𝑡 2 + 12,189. If the aquatic robot arrives at a sunken ship 20 minutes after
the initial launch, about how far is the robot from the ocean floor?
A. 10,589 feet
B. 12,109 feet
C. 12,105 feet
D. 12,029 feet
6
Write in standard notation: 2.45 x 10
A. 245,000,000
B. 0.000000245
C. 0.00000245
D. 2,450,000
Robin is purchasing laminate flooring for her square laundry room. If the consultant informs her that she will
need flooring to cover 60 square feet, then approximately how long are the sides of the square room?
A. 30 feet
B. 7 feet
C. 8 feet
D. 15 feet
-9
2
Simplify the following product: (8.2 x 10 ) (2.1 x 10 )
A. 17.22 x 10-11
B. 10.3 x 10-7
C. 17.22 x 107
D. 17.22 x 10-7
Identify the slope of the incline for a wheelchair ramp shown below.
3 feet
21 feet
A. 1/7
B. 7
C. 14
D. 24 feet
10. The graph shows the profit earned for the expenses. What is the slope?
A. $4 profit for every $5 in expenses
B. $0.25 profit for every $1 in expenses
C. $20 profit for every $1 in expenses
D. $4 profit for every $1 in expenses
11. What does the slope in the graph represent?
A. Amount of time remaining
B. Speed of the runner
C. Distance remaining
D. Amount of energy used
12. What is an equation of a line with a slope of -3 and goes through the origin?
A. y=-3x + -3
B. y=x – 3
C. y=-3x
D. y=-3
13. Which equation represents the line graphed?
A. y=2x + 6
B. y=6
B. C. y=-2x + 6
D. y= 6x – 3
14. Solve the equation: 2𝑎3 = 128
A. a=8
B. a=4
C. a=64
D. a=21
15. The area of a rectangle is 32 square inches. The length is twice the width. What is the perimeter of the
rectangle?
A. 66 inches
B. 36 inches
C. 24 inches
D. 64 inches
16. Solve for h: f=8g+4h
A. f-8g
𝑓
B. 2 - 2g
𝑓
C. 8 - 8g
D.
𝑓
4
- 2g
17. Determine what type of lines the following pair of equations would make when graphing.
2y-4=6x
y=3x+4
A. Parallel lines
B. intersecting lines
C. Perpendicular lines D. same line
18. How many solutions does the following system of equations have?
4x + 5y = 10
4x + 5y = 8
A. Infinitely many solutions B. 1 solution C. 2 solutions D. No solutions
19. What is the solution to the system of equations graphed on the coordinate plane?
A. (6, 2)
B. (5, -2)
C. (0,2)
D. (-1,2)
20. Maribeth and Annie went shopping for school supplies. Maribeth bought
8 pencils and 2 notebooks for $2.60. Annie bought 20 pencils and 2
notebooks for $5. How much are the pencils and notebooks?
A. Notebook $0.51 and pencil $0.22
B. Notebook $1.00 and pencil $0.60
C. Notebook $0.50 and pencil $0.20
D. Notebook $0.60 and pencil $0.25
Answers:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
A
B
B
C
A
D
C
D
A
D
B
C
A
B
C
D
A
D
B
C