THEA THEA Algebra & Problem Solving 1 — Questions and Answers
Question 1: Solve for x: 3x + 7 = 22
- x = 3
- x = 5 (Correct answer)
- x = 7
- x = 9
Correct answer: x = 5
Subtracting 7 from both sides gives 3x = 15, then dividing by 3 gives x = 5.
Question 2: Which of the following is equivalent to 4(x - 3) + 2x?
- 6x - 3
- 6x - 12 (Correct answer)
- 4x - 10
- 6x + 12
Correct answer: 6x - 12
Distributing gives 4x - 12 + 2x, then combining like terms gives 6x - 12.
Question 3: If f(x) = 2x² - 3, what is f(4)?
- 13
- 29 (Correct answer)
- 32
- 61
Correct answer: 29
Substituting x = 4: f(4) = 2(16) - 3 = 32 - 3 = 29.
Question 4: What is the slope of the line passing through the points (2, 5) and (6, 13)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
Question 5: Solve the inequality: 2x - 5 > 9
- x > 2
- x > 7 (Correct answer)
- x > 5
- x > 4
Correct answer: x > 7
Adding 5 to both sides: 2x > 14, then dividing by 2: x > 7.
Question 6: Which expression represents 'five less than three times a number n'?
- 5 - 3n
- 3n - 5 (Correct answer)
- 3(n - 5)
- 5n - 3
Correct answer: 3n - 5
'Three times a number' is 3n, and 'five less than' means we subtract 5, giving 3n - 5.
THEA THEA Algebra & Problem Solving 1
Solve for x: 3x + 7 = 22