CAASPP Algebraic Thinking 2

Question 1

Which equation represents the relationship: 'a number tripled, then decreased by 4, equals 11'?

Accepted Answer

3n - 4 = 11

Answer

Tripling a number gives 3n, and decreasing by 4 gives 3n - 4 = 11.

Question 2

What is the value of x if 5x + 3 = 28?

Accepted Answer

5

Answer

Subtracting 3 from both sides gives 5x = 25, so x = 5.

Question 3

A function rule states f(n) = 4n − 1. What is f(7)?

Accepted Answer

27

Answer

f(7) = 4(7) − 1 = 28 − 1 = 27.

Question 4

Which table of values matches the rule y = 2x + 5?

Accepted Answer

x=1,y=7; x=2,y=9; x=3,y=11

Answer

When x=1: 2(1)+5=7; x=2: 2(2)+5=9; x=3: 2(3)+5=11.

Question 5

If the pattern of triangles follows the sequence 1, 4, 7, 10, …, what expression gives the nth term?

Accepted Answer

3n − 2

Answer

The sequence increases by 3 each time, and the first term is 1, giving 3n − 2.

CAASPP - California Assessment of Student Performance and Progress Practice Test