8th grade algebra

Question 1

Which point solves both x + y = −3 and x − y = 5?

• A. (2, −5)
• B. (−4, 1)
• C. (−3, 5)
• D. (1, −4)

Question 2

Write 3⁻¹ as a fraction.

Answer (as a fraction)

Question 3

x: 0, 1, 2, 3, 4. y: 2, 3, 6, 11, 18. Is the function linear?

• A. Linear
• B. Nonlinear

Question 4

Function A: y = x − 1. Function B is a line through (1, −9) and (2, −13). Which has the greater initial value (y-intercept)?

• A. A
• B. B

Question 5

Solve: 0.6x + 4.9 = 0.7x + 5.8

x = 

Question 6

Solve: −4x − 5 = 3x + 51

x = 

Question 7

(x³ × x⁴) ÷ x⁴ = xᵏ. What is k?

Answer 

Question 8

The line passes through the two marked points (0, −2) and (2, 4). What is its slope?

Answer 

Question 9

Find the slope of −3x + 3y = 0. Give a whole number or fraction.

Answer (as a fraction)

Question 10

Solve the system: y = 3x − 18 and 4x + 3y = 11. Type the solution like (2, −3).

Answer 

Question 11

x: 2, 7, 12, 17. y: 1, −4, −9, −14. What is the rate of change (slope)?

Answer 

Question 12

3¹ ÷ 3² = 3ᵏ. What is k? (It can be negative.)

Answer 

Question 13

Streaming plan A costs $67 up front plus $5 per film. Plan B costs $11 up front plus $9 per film. For how many films do they cost the same?

Answer 

Question 14

Solve: 2(x − 1) = x − 2

x = 

Question 15

Find the slope (gradient) of the line through (3, 0) and (−3, −6). Give a whole number or a fraction in simplest form.

Answer (as a fraction)

Question 16

Which equation is NOT linear?

• A. 2x + y = 5
• B. y = 3ˣ
• C. y = 3x − 2
• D. y = 7 − x