CAASPP Algebraic Thinking 3 — Questions and Answers
Question 1: Which property is used when you write 3(x + 4) = 3x + 12?
- Commutative Property
- Associative Property
- Distributive Property (Correct answer)
- Identity Property
Correct answer: Distributive Property
The Distributive Property states a(b + c) = ab + ac, so 3(x + 4) = 3x + 12.
Question 2: A vending machine charges $1.25 per snack. Which expression shows the cost of s snacks?
- s + 1.25
- s ÷ 1.25
- 1.25s (Correct answer)
- 1.25 ÷ s
Correct answer: 1.25s
Multiplying the price per snack by the number of snacks gives 1.25s.
Question 3: Solve for y: y/4 = 9
- 2.25
- 13
- 36 (Correct answer)
- 40
Correct answer: 36
Multiplying both sides by 4 gives y = 36.
Question 4: A sequence starts at 80 and decreases by 7 each step. What is the 5th term?
- 45
- 52 (Correct answer)
- 59
- 66
Correct answer: 52
Starting at 80 and subtracting 7 four times: 80, 73, 66, 59, 52.
Question 5: Which situation can be modeled by the equation 15 + x = 40?
- You have 40 stickers and give away 15.
- You have 15 stickers and need 40 more.
- You have 15 stickers and need to reach 40 total. (Correct answer)
- You bought 40 stickers and now have 15 left.
Correct answer: You have 15 stickers and need to reach 40 total.
Starting with 15 and adding x more to reach 40 is written as 15 + x = 40.
Question 6: What is the missing value in the table? x: 2, 4, 6, 8 | y: 10, 20, __, 40
- 25
- 28
- 30 (Correct answer)
- 35
Correct answer: 30
The rule is y = 5x; when x = 6, y = 5(6) = 30.
Question 7: Which expression is equivalent to 6m + 9?
- 3(2m − 3)
- 3(2m + 3) (Correct answer)
- 6(m + 9)
- 9(m + 6)
Correct answer: 3(2m + 3)
Factoring out 3 gives 3(2m + 3) = 6m + 9.
CAASPP Algebraic Thinking 3
Which property is used when you write 3(x + 4) = 3x + 12?