CAASPP Math Practice Test (Gr11) 5

Question 1

A linear function passes through (-2, 1) and (4, 4). What is the y-intercept?

Accepted Answer

2

Answer

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?

Accepted Answer

i

Answer

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?

Accepted Answer

112%

Answer

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?

Accepted Answer

f(x) = (3x+1)/(x-2)

Answer

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?

Accepted Answer

-5

Answer

u · v = (3)(1) + (-4)(2) = 3 - 8 = -5.

CAASPP - California Assessment of Student Performance and Progress Practice Test