NCDAP Elementary Algebra 2 — Questions and Answers
Question 1: If 3x - 7 = 14, what is the value of x?
- 3
- 5
- 7 (Correct answer)
- 21
Correct answer: 7
Adding 7 to both sides gives 3x = 21, then dividing by 3 gives x = 7.
Question 2: Which expression is equivalent to 4(2x - 3) + 5?
- 8x - 7 (Correct answer)
- 8x + 2
- 8x - 12
- 6x - 7
Correct answer: 8x - 7
Distributing gives 8x - 12, then adding 5 gives 8x - 7.
Question 3: A number increased by 12 equals 31. What is the number?
- 43
- 19 (Correct answer)
- 23
- 18
Correct answer: 19
Setting up n + 12 = 31 and subtracting 12 from both sides gives n = 19.
Question 4: What is the slope of the line passing through (2, 5) and (6, 13)?
- 1
- 3
- 2 (Correct answer)
- 4
Correct answer: 2
Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
Question 5: Simplify: 5x² - 3x + 2x² + 7x
- 7x² + 4x (Correct answer)
- 7x² - 4x
- 3x² + 4x
- 7x² + 10x
Correct answer: 7x² + 4x
Combining like terms: (5x² + 2x²) + (-3x + 7x) = 7x² + 4x.
Question 6: If y = 2x + 1 and x = -3, what is y?
- -7
- -5 (Correct answer)
- 5
- 7
Correct answer: -5
Substituting x = -3: y = 2(-3) + 1 = -6 + 1 = -5.
Question 7: Which value of x satisfies 2(x + 4) = 3x - 1?
- 7
- 8
- 9 (Correct answer)
- 10
Correct answer: 9
Expanding gives 2x + 8 = 3x - 1, so 9 = x.
NCDAP Elementary Algebra 2
If 3x - 7 = 14, what is the value of x?