Algebra Test Linear Equations 2 — Questions and Answers
Question 1: What is the equation of a line with slope 3 passing through (0, -1)?
- y = 3x + 1
- y = -x + 3
- y = 3x - 1 (Correct answer)
- y = x - 3
Correct answer: y = 3x - 1
Using y = mx + b with m = 3 and b = -1 gives y = 3x - 1.
Question 2: Solve for y: 7y = 49
- y = 6
- y = 7 (Correct answer)
- y = 8
- y = 42
Correct answer: y = 7
Divide both sides by 7 to get y = 7.
Question 3: Which value of x makes x/3 = 5 true?
- x = 8
- x = 15 (Correct answer)
- x = 2
- x = 5
Correct answer: x = 15
Multiply both sides by 3 to get x = 15.
Question 4: What is the slope of a horizontal line?
- 1
- -1
- Undefined
- 0 (Correct answer)
Correct answer: 0
A horizontal line has no rise for any run, so its slope is 0.
Question 5: Solve: 2(3x + 1) = 14
- x = 1
- x = 2 (Correct answer)
- x = 3
- x = 4
Correct answer: x = 2
Distribute to get 6x + 2 = 14, subtract 2 to get 6x = 12, then divide by 6 to get x = 2.
Question 6: If y = 2x + 1, what is y when x = 4?
- 7
- 8
- 9 (Correct answer)
- 10
Correct answer: 9
Substitute x = 4 to get y = 2(4) + 1 = 9.
What is the equation of a line with slope 3 passing through (0, -1)?