TSIA2 Algebra Fundamentals 2 — Questions and Answers
Question 1: Which value of x satisfies the equation 3(x - 4) = 2x + 1?
- x = 11
- x = 13 (Correct answer)
- x = 9
- x = 7
Correct answer: x = 13
Distributing gives 3x - 12 = 2x + 1, so x = 13.
Question 2: 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 3: Which expression is equivalent to (x + 3)(x - 5)?
- x² - 2x - 15 (Correct answer)
- x² + 2x - 15
- x² - 2x + 15
- x² + 8x - 15
Correct answer: x² - 2x - 15
Using FOIL: x² - 5x + 3x - 15 = x² - 2x - 15.
Question 4: A car rental costs $30 per day plus $0.15 per mile. If Maria paid $67.50 for one day, how many miles did she drive?
- 225 miles
- 250 miles (Correct answer)
- 300 miles
- 450 miles
Correct answer: 250 miles
0.15m = 67.50 - 30 = 37.50, so m = 250 miles.
Question 5: What is the y-intercept of the line 4x - 2y = 8?
- y = 4
- y = -4 (Correct answer)
- y = 2
- y = -2
Correct answer: y = -4
Solving for y: y = 2x - 4, so the y-intercept is -4.
Question 6: If f(x) = 2x² - 3x + 1, what is f(-2)?
- 3
- 11
- 15 (Correct answer)
- 7
Correct answer: 15
f(-2) = 2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.
Question 7: Which inequality represents 'twice a number decreased by 7 is at least 3'?
- 2n - 7 ≤ 3
- 2n + 7 ≥ 3
- 2n - 7 ≥ 3 (Correct answer)
- 2(n - 7) ≥ 3
Correct answer: 2n - 7 ≥ 3
'Twice a number decreased by 7' translates to 2n - 7, and 'at least 3' means ≥ 3.
TSIA2 Algebra Fundamentals 2
Which value of x satisfies the equation 3(x - 4) = 2x + 1?