PARCC Expressions and Equations 1 — Questions and Answers
Question 1: Which expression is equivalent to 3(2x + 4)?
- 6x + 4
- 6x + 12 (Correct answer)
- 5x + 7
- 6x + 7
Correct answer: 6x + 12
Applying the distributive property: 3 × 2x = 6x and 3 × 4 = 12, giving 6x + 12.
Question 2: Solve for x: x + 9 = 21
- x = 30
- x = 12 (Correct answer)
- x = 11
- x = 189
Correct answer: x = 12
Subtracting 9 from both sides: x = 21 − 9 = 12.
Question 3: Which property justifies the step: 4x + 3x = (4 + 3)x?
- Commutative Property
- Associative Property
- Distributive Property (Correct answer)
- Identity Property
Correct answer: Distributive Property
The Distributive Property allows factoring out a common variable: 4x + 3x = (4 + 3)x = 7x.
Question 4: What is the value of 5n − 3 when n = 4?
- 17 (Correct answer)
- 23
- 7
- 12
Correct answer: 17
Substituting n = 4: 5(4) − 3 = 20 − 3 = 17.
Question 5: Which inequality represents 'a number decreased by 5 is at least 10'?
- n − 5 > 10
- n − 5 ≥ 10 (Correct answer)
- n + 5 ≥ 10
- n − 5 ≤ 10
Correct answer: n − 5 ≥ 10
'Decreased by 5' means subtraction, and 'at least 10' means greater than or equal to 10, giving n − 5 ≥ 10.
Question 6: Solve for y: 3y = 36
- y = 108
- y = 33
- y = 12 (Correct answer)
- y = 9
Correct answer: y = 12
Dividing both sides by 3: y = 36 ÷ 3 = 12.
Question 7: Which expression represents 'seven less than twice a number p'?
- 7 − 2p
- 2p − 7 (Correct answer)
- 2(p − 7)
- 7p − 2
Correct answer: 2p − 7
'Twice a number p' is 2p, and 'seven less than' means subtract 7 from it, giving 2p − 7.
PARCC Expressions and Equations 1
Which expression is equivalent to 3(2x + 4)?