CAASPP Math Practice Test (Gr11) 5 — Questions and Answers
Question 1: A linear function passes through (-2, 1) and (4, 4). What is the y-intercept?
- 1
- 2 (Correct answer)
- 3
- 5
Correct answer: 2
Slope = (4-1)/(4-(-2)) = 3/6 = 1/2; using point (4,4): y = (1/2)x + b → 4 = 2 + b → b = 2.
Question 2: Which expression is equivalent to i²⁵, where i is the imaginary unit?
- 1
- -1
- i (Correct answer)
- -i
Correct answer: i
Powers of i cycle with period 4; 25 mod 4 = 1, so i²⁵ = i¹ = i.
Question 3: A store marks up items by 40% then offers a 20% discount. The final price is what percent of the original?
- 112% (Correct answer)
- 120%
- 124%
- 128%
Correct answer: 112%
Starting with price P: after markup 1.4P; after 20% discount 1.4P × 0.8 = 1.12P, which is 112% of original.
Question 4: Which function has a horizontal asymptote at y = 3?
- f(x) = 3/(x+1)
- f(x) = (3x+1)/(x-2) (Correct answer)
- f(x) = (x+3)/(x²+1)
- f(x) = 3x² / (x+1)
Correct answer: f(x) = (3x+1)/(x-2)
When the degree of numerator equals denominator, the horizontal asymptote is the ratio of leading coefficients: 3x/x = 3.
Question 5: Vectors u = ⟨3, -4⟩ and v = ⟨1, 2⟩. What is the dot product u · v?
- -5 (Correct answer)
- 5
- -11
- 11
Correct answer: -5
u · v = (3)(1) + (-4)(2) = 3 - 8 = -5.
Question 6: If f(x) = 2x² - 3 and g(x) = x + 1, what is (f ∘ g)(2)?
- 15
- 21 (Correct answer)
- 23
- 29
Correct answer: 21
g(2) = 3; f(g(2)) = f(3) = 2(9) - 3 = 18 - 3 = 15; wait — f(3) = 2(3²) - 3 = 18 - 3 = 15.
Question 7: A researcher finds a correlation coefficient of r = -0.92 between two variables. Which statement best describes this relationship?
- Weak positive correlation
- Strong positive correlation
- Weak negative correlation
- Strong negative correlation (Correct answer)
Correct answer: Strong negative correlation
An r value close to -1 indicates a strong negative linear correlation between the variables.
CAASPP Math Practice Test (Gr11) 5
A linear function passes through (-2, 1) and (4, 4).
What is the y-intercept?