PAPA PAPA Algebra & Functions 2 — Questions and Answers
Question 1: What is the y-intercept of the equation y = 3x − 5?
- 3
- −5 (Correct answer)
- 5
- 0
Correct answer: −5
In y = mx + b form, b is the y-intercept; here b = −5.
Question 2: Which equation has x = 4 as its solution?
- 2x + 1 = 7
- 3x − 2 = 10 (Correct answer)
- x + 6 = 9
- 5x = 15
Correct answer: 3x − 2 = 10
3(4) − 2 = 12 − 2 = 10, confirming x = 4.
Question 3: Simplify: 4x + 3 − 2x + 7
- 2x + 10 (Correct answer)
- 6x + 10
- 2x + 4
- 6x + 4
Correct answer: 2x + 10
Combine like terms: (4x − 2x) + (3 + 7) = 2x + 10.
Question 4: If y = x + 3 and x = 5, what is y?
- 5
- 7
- 8 (Correct answer)
- 15
Correct answer: 8
y = 5 + 3 = 8.
Question 5: Which of the following is NOT a function?
- y = 2x
- y = x + 1
- x = 4 (vertical line) (Correct answer)
- y = x²
Correct answer: x = 4 (vertical line)
A vertical line fails the vertical line test because it assigns multiple y-values to a single x-value.
Question 6: What is the value of 5² − 3 × 4?
- 13 (Correct answer)
- 8
- 25
- 37
Correct answer: 13
Following order of operations: 5² = 25, then 3 × 4 = 12, and 25 − 12 = 13.
PAPA PAPA Algebra & Functions 2
What is the y-intercept of the equation y = 3x − 5?