PARCC Expressions and Equations 2 — Questions and Answers
Question 1: Solve for x: 2x + 5 = 17
- x = 11
- x = 7
- x = 6 (Correct answer)
- x = 4
Correct answer: x = 6
Subtract 5 from both sides to get 2x = 12, then divide by 2: x = 6.
Question 2: Simplify: 4a + 7b − 2a + 3b
- 2a + 10b (Correct answer)
- 6a + 10b
- 2a + 4b
- 6a + 4b
Correct answer: 2a + 10b
Combine like terms: (4a − 2a) + (7b + 3b) = 2a + 10b.
Question 3: A gym charges a $25 sign-up fee plus $15 per month. Which equation gives the total cost C for m months?
- C = 15m
- C = 25m + 15
- C = 15m + 25 (Correct answer)
- C = 15 + 25
Correct answer: C = 15m + 25
The fixed fee is $25 and the variable cost is $15 per month, so C = 15m + 25.
Question 4: Which value of x makes the equation 4x − 3 = 13 true?
- x = 2.5
- x = 4 (Correct answer)
- x = 5
- x = 16
Correct answer: x = 4
Adding 3 to both sides gives 4x = 16, and dividing by 4 gives x = 4.
Question 5: Which of the following is NOT a like term with 6x²?
- 3x²
- −x²
- 10x²
- 6x (Correct answer)
Correct answer: 6x
Like terms must have the same variable and exponent; 6x has a different exponent (1) than 6x² (2), so it is not a like term.
Question 6: Solve the inequality: 2x + 4 < 12
- x < 4 (Correct answer)
- x > 4
- x < 8
- x > 8
Correct answer: x < 4
Subtracting 4: 2x < 8; dividing by 2: x < 4.
Question 7: If 5 + n/3 = 8, what is the value of n?
- n = 1
- n = 9 (Correct answer)
- n = 39
- n = 3
Correct answer: n = 9
Subtracting 5 from both sides gives n/3 = 3, then multiplying both sides by 3 gives n = 9.
