EDPT Algebraic Concepts and Equations 2 — Questions and Answers
Question 1: If 3x - 7 = 2x + 5, what is the value of x?
- 8
- 12 (Correct answer)
- 2
- -2
Correct answer: 12
Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.
Question 2: Which expression is equivalent to 4(2x - 3) + 8?
- 8x - 4 (Correct answer)
- 8x + 20
- 6x - 4
- 8x - 5
Correct answer: 8x - 4
Distribute 4 to get 8x - 12, then add 8 to get 8x - 4.
Question 3: What is the slope of the line passing through (2, 3) and (6, 11)?
- 1
- 3
- 2 (Correct answer)
- 4
Correct answer: 2
Slope = (11 - 3) / (6 - 2) = 8 / 4 = 2.
Question 4: Solve for y: 2y/3 = 10
- y = 12
- y = 15 (Correct answer)
- y = 20
- y = 6
Correct answer: y = 15
Multiply both sides by 3/2 to isolate y: y = 10 × (3/2) = 15.
Question 5: If f(x) = x² - 4x + 4, what is f(3)?
- 7
- 1 (Correct answer)
- 13
- 5
Correct answer: 1
f(3) = 9 - 12 + 4 = 1.
Question 6: Which inequality is satisfied by x = -3?
- x + 4 > 2
- 2x + 1 > -4
- x - 2 > 0
- 3x + 5 < -1 (Correct answer)
Correct answer: 3x + 5 < -1
3(-3) + 5 = -9 + 5 = -4, and -4 < -1 is true.
Question 7: What is the value of the expression 5a - 2b when a = 4 and b = 3?
- 12
- 14 (Correct answer)
- 20
- 26
Correct answer: 14
5(4) - 2(3) = 20 - 6 = 14.
EDPT Algebraic Concepts and Equations 2
If 3x - 7 = 2x + 5, what is the value of x?