EDPT Algebraic Concepts and Equations 4 — Questions and Answers
Question 1: Which equation represents a line parallel to y = 3x + 1?
- y = -3x + 4
- y = 3x - 7 (Correct answer)
- y = (1/3)x + 2
- y = -x + 3
Correct answer: y = 3x - 7
Parallel lines have the same slope; y = 3x - 7 has slope 3, matching the original.
Question 2: Evaluate: 2³ + 3²
- 13
- 17 (Correct answer)
- 25
- 72
Correct answer: 17
2³ = 8 and 3² = 9; 8 + 9 = 17.
Question 3: What is the product of (x + 5)(x - 2)?
- x² + 7x - 10
- x² - 3x - 10
- x² + 3x - 10 (Correct answer)
- x² - 7x + 10
Correct answer: x² + 3x - 10
Using FOIL: x² - 2x + 5x - 10 = x² + 3x - 10.
Question 4: If 4 less than twice a number equals 18, what is the number?
- 7
- 11 (Correct answer)
- 14
- 22
Correct answer: 11
2n - 4 = 18, so 2n = 22 and n = 11.
Question 5: Which of the following is equivalent to 16^(1/2)?
- 8
- 4 (Correct answer)
- 2
- 32
Correct answer: 4
16^(1/2) means the square root of 16, which equals 4.
Question 6: Solve for x: |x - 3| = 5
- x = 8 only
- x = -2 only
- x = 8 or x = -2 (Correct answer)
- x = 2 or x = -8
Correct answer: x = 8 or x = -2
x - 3 = 5 gives x = 8, and x - 3 = -5 gives x = -2.
Question 7: What is the value of x if log₂(x) = 5?
- 10
- 32 (Correct answer)
- 25
- 16
Correct answer: 32
log₂(x) = 5 means 2⁵ = x, so x = 32.
EDPT Algebraic Concepts and Equations 4
Which equation represents a line parallel to y = 3x + 1?