MDTP Algebra 1 — Questions and Answers
Question 1: Solve for x: 3x - 7 = 14
- x = 3
- x = 7 (Correct answer)
- x = 9
- x = 21
Correct answer: x = 7
Adding 7 to both sides gives 3x = 21, then dividing by 3 gives x = 7.
Question 2: Which of the following is equivalent to 2(x + 4) - 3x?
- x + 8
- -x + 8 (Correct answer)
- 5x + 8
- -x - 8
Correct answer: -x + 8
Distributing gives 2x + 8 - 3x, which simplifies to -x + 8.
Question 3: If f(x) = 2x² - 5, what is f(3)?
- 1
- 7
- 13 (Correct answer)
- 31
Correct answer: 13
f(3) = 2(3)² - 5 = 2(9) - 5 = 18 - 5 = 13.
Question 4: What is the slope of the line passing through (2, 5) and (6, 13)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
Question 5: Factor completely: x² - 9
- (x - 3)²
- (x + 3)²
- (x - 3)(x + 3) (Correct answer)
- (x - 9)(x + 1)
Correct answer: (x - 3)(x + 3)
x² - 9 is a difference of squares, equal to (x - 3)(x + 3).
Question 6: Solve the inequality: 4x + 3 > 11
- x > 2 (Correct answer)
- x < 2
- x > 3
- x < 3
Correct answer: x > 2
Subtracting 3 from both sides gives 4x > 8, then dividing by 4 gives x > 2.
MDTP Algebra 1
Solve for x: 3x - 7 = 14