Algebra Test Linear Equations 1 — Questions and Answers
Question 1: Solve for x: 3x + 7 = 22
- x = 3
- x = 5 (Correct answer)
- x = 7
- x = 9
Correct answer: x = 5
Subtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.
Question 2: Solve for x: 2x - 4 = 10
- x = 3
- x = 5
- x = 7 (Correct answer)
- x = 9
Correct answer: x = 7
Add 4 to both sides to get 2x = 14, then divide by 2 to get x = 7.
Question 3: What is the slope of the line y = 4x - 3?
- -3
- 3
- 4 (Correct answer)
- -4
Correct answer: 4
In slope-intercept form y = mx + b, the coefficient m = 4 is the slope.
Question 4: What is the y-intercept of the line y = -2x + 6?
- -2
- 2
- 6 (Correct answer)
- -6
Correct answer: 6
The y-intercept is the constant term b = 6 in y = mx + b form.
Question 5: Solve for x: 5(x - 2) = 15
- x = 1
- x = 3
- x = 5 (Correct answer)
- x = 7
Correct answer: x = 5
Divide both sides by 5 to get x - 2 = 3, then add 2 to get x = 5.
Question 6: If 4x + 8 = 0, what is x?
- x = 2
- x = -2 (Correct answer)
- x = 4
- x = -4
Correct answer: x = -2
Subtract 8 from both sides to get 4x = -8, then divide by 4 to get x = -2.
Solve for x: 3x + 7 = 22