PAPA PAPA Algebra & Functions 1 — Questions and Answers
Question 1: Solve for x: 3x + 7 = 22
- x = 3
- x = 5 (Correct answer)
- x = 7
- x = 4
Correct answer: x = 5
3x = 22 − 7 = 15, so x = 15 ÷ 3 = 5.
Question 2: Which of the following represents a linear equation?
- y = x²
- y = 2x + 3 (Correct answer)
- y = x³ − 1
- y = √x
Correct answer: y = 2x + 3
A linear equation has the form y = mx + b, where the variable x has an exponent of 1.
Question 3: If f(x) = 2x − 4, what is f(6)?
- 6
- 8 (Correct answer)
- 10
- 12
Correct answer: 8
f(6) = 2(6) − 4 = 12 − 4 = 8.
Question 4: What is the slope of the line that passes through (0, 2) and (4, 10)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (10 − 2) ÷ (4 − 0) = 8 ÷ 4 = 2.
Question 5: Which property allows you to write 3(x + 5) as 3x + 15?
- Commutative property
- Associative property
- Distributive property (Correct answer)
- Identity property
Correct answer: Distributive property
The distributive property states that a(b + c) = ab + ac.
Question 6: Solve: 2x − 3 = x + 4
- x = 5
- x = 7 (Correct answer)
- x = 3
- x = 1
Correct answer: x = 7
2x − x = 4 + 3, so x = 7.
PAPA PAPA Algebra & Functions 1
Solve for x: 3x + 7 = 22