CAASPP Algebraic Thinking 2 — Questions and Answers
Question 1: Which equation represents the relationship: 'a number tripled, then decreased by 4, equals 11'?
- 3n + 4 = 11
- 3n - 4 = 11 (Correct answer)
- n/3 - 4 = 11
- 3(n - 4) = 11
Correct answer: 3n - 4 = 11
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?
- 4
- 5 (Correct answer)
- 6
- 7
Correct answer: 5
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)?
- 24
- 27 (Correct answer)
- 28
- 29
Correct answer: 27
f(7) = 4(7) − 1 = 28 − 1 = 27.
Question 4: Which table of values matches the rule y = 2x + 5?
- x=1,y=6; x=2,y=8; x=3,y=10
- x=1,y=7; x=2,y=9; x=3,y=11 (Correct answer)
- x=1,y=8; x=2,y=10; x=3,y=12
- x=1,y=5; x=2,y=7; x=3,y=9
Correct answer: x=1,y=7; x=2,y=9; x=3,y=11
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?
- n + 3
- 3n − 2 (Correct answer)
- 2n + 1
- 3n + 1
Correct answer: 3n − 2
The sequence increases by 3 each time, and the first term is 1, giving 3n − 2.
Question 6: Two students earn the same weekly pay. Maria works 8 hours and earns $72. How much does Carlos earn if he works 5 hours at the same rate?
- $40.00
- $43.00
- $45.00 (Correct answer)
- $48.00
Correct answer: $45.00
The hourly rate is $72 ÷ 8 = $9, so 5 × $9 = $45.
Question 7: Which inequality is represented by 'a number is at most 15'?
- n > 15
- n ≥ 15
- n < 15
- n ≤ 15 (Correct answer)
Correct answer: n ≤ 15
'At most 15' means the number can equal 15 or be less, written as n ≤ 15.
CAASPP Algebraic Thinking 2
Which equation represents the relationship: 'a number tripled, then decreased by 4, equals 11'?