CAASPP Math Practice Test (Gr11) 2 — Questions and Answers
Question 1: Which expression is equivalent to (x² - 9) / (x² - x - 6)?
- (x+3)/(x+2)
- (x-3)/(x-2) (Correct answer)
- (x+3)/(x-2)
- (x-3)/(x+2)
Correct answer: (x-3)/(x-2)
Factor numerator as (x-3)(x+3) and denominator as (x-3)(x+2), then cancel (x-3) to get (x+3)/(x+2).
Question 2: A savings account earns 3.5% annual interest compounded annually. If $2,000 is deposited, what is the balance after 4 years?
- $2,280.00
- $2,295.05 (Correct answer)
- $2,286.77
- $2,301.59
Correct answer: $2,295.05
Using A = P(1+r)^t: 2000(1.035)^4 ≈ 2000(1.14752) ≈ $2,295.05.
Question 3: What is the solution set of |2x - 5| > 3?
- 1 < x < 4
- x < 1 or x > 4 (Correct answer)
- x < -1 or x > 4
- -4 < x < 1
Correct answer: x < 1 or x > 4
Solving gives 2x-5 > 3 → x > 4, or 2x-5 < -3 → x < 1, so x < 1 or x > 4.
Question 4: A circle has equation x² + y² - 6x + 4y - 12 = 0. What is its radius?
- 3
- 4
- 5 (Correct answer)
- 7
Correct answer: 5
Completing the square: (x-3)² + (y+2)² = 9+4+12 = 25, so radius = 5.
Question 5: The table shows: x: 1,2,3,4 and y: 3,9,27,81. Which function models this data?
- y = 3x
- y = x + 2
- y = 3^x (Correct answer)
- y = x³
Correct answer: y = 3^x
Each y value is 3 raised to the x power (3¹=3, 3²=9, 3³=27, 3⁴=81), so y = 3^x.
Question 6: Two dice are rolled. What is the probability that the sum is at least 10?
- 1/6 (Correct answer)
- 1/9
- 1/12
- 5/36
Correct answer: 1/6
Outcomes with sum ≥ 10: (4,6),(5,5),(5,6),(6,4),(6,5),(6,6) = 6 outcomes out of 36, so 6/36 = 1/6.
Question 7: Which value of k makes the system inconsistent? 2x + ky = 4, 6x + 9y = 12
- k = 2
- k = 3 (Correct answer)
- k = 6
- k = 9
Correct answer: k = 3
The second equation is 3 times the first when 2k/6 = k/3; for inconsistency, k=3 makes lines parallel (same slopes, different intercepts after checking).
CAASPP Math Practice Test (Gr11) 2
Which expression is equivalent to (x² - 9) / (x² - x - 6)?