CHSPE Algebra 4 — Questions and Answers
Question 1: What are the solutions to x² - 5x + 6 = 0?
- x = 2 and x = 3 (Correct answer)
- x = -2 and x = -3
- x = 1 and x = 6
- x = -1 and x = 6
Correct answer: x = 2 and x = 3
Factor as (x - 2)(x - 3) = 0, giving x = 2 and x = 3.
Question 2: Simplify: (x² - 4)/(x + 2)
- x - 2 (Correct answer)
- x + 2
- x² - 2
- x - 4
Correct answer: x - 2
Factor the numerator as (x + 2)(x - 2), then cancel (x + 2) to get x - 2.
Question 3: Marcus earns $12 per hour plus a $25 bonus per day. Which equation shows his daily earnings E for h hours worked?
- E = 25h + 12
- E = 12h + 25 (Correct answer)
- E = 12(h + 25)
- E = 25(h + 12)
Correct answer: E = 12h + 25
Hourly pay is 12h and the flat bonus is 25, so E = 12h + 25.
Question 4: What is the value of 5 × 10³ + 3 × 10² + 7 × 10⁰?
- 5,307 (Correct answer)
- 5,370
- 5,037
- 5,300
Correct answer: 5,307
5,000 + 300 + 7 = 5,307.
Question 5: If the product of two consecutive even integers is 48, what are the integers?
- 6 and 8 (Correct answer)
- 4 and 6
- 8 and 10
- 2 and 4
Correct answer: 6 and 8
6 × 8 = 48, and 6 and 8 are consecutive even integers.
Question 6: Which graph best represents the equation y = -x + 2?
- A line with positive slope crossing y-axis at 2
- A line with negative slope crossing y-axis at 2 (Correct answer)
- A line with negative slope crossing y-axis at -2
- A parabola opening downward
Correct answer: A line with negative slope crossing y-axis at 2
The equation has slope -1 (negative) and y-intercept 2, so it falls left to right and crosses at (0, 2).
Question 7: What is the solution to the inequality -3x + 6 < 15?
- x < -3
- x > -3 (Correct answer)
- x < 3
- x > 3
Correct answer: x > -3
-3x < 9 → x > -3 (inequality flips when dividing by a negative number).
CHSPE Algebra 4
What are the solutions to x² - 5x + 6 = 0?