CAASPP Math Practice Test (Gr11) 3

Question 1

A polynomial p(x) = x³ - 2x² - 5x + 6. Which is a factor of p(x)?

Accepted Answer

(x - 3)

Answer

p(3) = 27 - 18 - 15 + 6 = 0, so by the Factor Theorem, (x-3) is a factor.

Question 2

What is the average rate of change of f(x) = x² + 3x from x = 1 to x = 4?

Accepted Answer

8

Answer

f(4) = 16+12 = 28, f(1) = 1+3 = 4; average rate = (28-4)/(4-1) = 24/3 = 8.

Question 3

In a triangle, angles are in the ratio 2:3:7. What is the measure of the largest angle?

Accepted Answer

126°

Answer

Sum of ratios = 12 parts; each part = 180/12 = 15°; largest angle = 7 × 15° = 105°.

Question 4

Which is the simplified form of (2x³y²)³ / (4x²y)?

Accepted Answer

2x⁷y⁵

Answer

Numerator: 8x⁹y⁶; divide by 4x²y → 2x⁷y⁵.

Question 5

A set of data has mean 50 and standard deviation 8. A data value of 66 has a z-score of:

Accepted Answer

2.0

Answer

z = (66 - 50) / 8 = 16/8 = 2.0.

CAASPP - California Assessment of Student Performance and Progress Practice Test