CHSPE Algebra 2 — Questions and Answers
Question 1: If 3(x - 4) = 2x + 1, what is the value of x?
- 11
- 13 (Correct answer)
- 7
- 5
Correct answer: 13
Distribute to get 3x - 12 = 2x + 1, then x = 13.
Question 2: Which inequality is represented by the statement 'twice a number decreased by 5 is at least 11'?
- 2n - 5 > 11
- 2n - 5 ≥ 11 (Correct answer)
- 2n + 5 ≤ 11
- 2n - 5 ≤ 11
Correct answer: 2n - 5 ≥ 11
'At least' means greater than or equal to, giving 2n - 5 ≥ 11.
Question 3: What is the slope of the line passing through (-2, 3) and (4, -9)?
- -3
- 2
- -2 (Correct answer)
- 3
Correct answer: -2
Slope = (-9 - 3)/(4 - (-2)) = -12/6 = -2.
Question 4: Factor completely: x² - 9
- (x - 3)²
- (x + 3)(x - 3) (Correct answer)
- (x - 9)(x + 1)
- (x + 3)²
Correct answer: (x + 3)(x - 3)
x² - 9 is a difference of squares: (x + 3)(x - 3).
Question 5: A train travels at 60 mph. How long does it take to travel 210 miles?
- 3 hours
- 3.5 hours (Correct answer)
- 4 hours
- 2.5 hours
Correct answer: 3.5 hours
Time = Distance ÷ Rate = 210 ÷ 60 = 3.5 hours.
Question 6: If f(x) = 2x² - 3x + 1, what is f(-1)?
- 6 (Correct answer)
- 0
- -4
- 4
Correct answer: 6
f(-1) = 2(1) - 3(-1) + 1 = 2 + 3 + 1 = 6.
Question 7: What is the solution set of |2x - 6| = 10?
- x = 8 only
- x = -2 only
- x = 8 or x = -2 (Correct answer)
- x = 4 or x = -2
Correct answer: x = 8 or x = -2
2x - 6 = 10 gives x = 8; 2x - 6 = -10 gives x = -2.
CHSPE Algebra 2
If 3(x - 4) = 2x + 1, what is the value of x?