CAASPP Algebraic Thinking 4

Question 1

On a graph, a line passes through (0, 2) and (3, 8). What is the rate of change (slope)?

Accepted Answer

2

Answer

Slope = (8 − 2) ÷ (3 − 0) = 6 ÷ 3 = 2.

Question 2

If p represents pencils and p − 6 = 9, how many pencils are there?

Accepted Answer

15

Answer

Adding 6 to both sides gives p = 15.

Question 3

Which ordered pair is a solution to y = 3x − 1?

Accepted Answer

(2, 5)

Answer

When x = 2: y = 3(2) − 1 = 5, giving the pair (2, 5).

Question 4

A car travels at a constant speed. After 2 hours it has gone 110 miles. Which equation gives the total distance d after t hours?

Accepted Answer

d = 55t

Answer

The speed is 110 ÷ 2 = 55 mph, so d = 55t.

Question 5

Which expression has the same value as 2(3 + x) − 4?

Accepted Answer

2x + 2

Answer

2(3 + x) − 4 = 6 + 2x − 4 = 2x + 2.

CAASPP - California Assessment of Student Performance and Progress Practice Test