CAASPP Algebraic Thinking 5 — Questions and Answers
Question 1: Which value of n makes 2n + 7 > 19 true?
- 5
- 6
- 7 (Correct answer)
- 8
Correct answer: 7
Solving: 2n > 12, so n > 6; the smallest whole number greater than 6 among the choices is 7.
Question 2: A store sells notebooks in packs of 6. If the school needs at least 50 notebooks, what is the fewest packs it must buy?
- 7
- 8
- 9 (Correct answer)
- 10
Correct answer: 9
50 ÷ 6 ≈ 8.33, so the school must buy at least 9 packs to have enough.
Question 3: Evaluate 4a − b when a = 5 and b = 8.
- 10
- 12 (Correct answer)
- 20
- 28
Correct answer: 12
4(5) − 8 = 20 − 8 = 12.
Question 4: A gym charges $30 to join and $15 per month. Which expression gives the total cost after m months?
- 30m + 15
- 15m + 30 (Correct answer)
- 45m
- 15 + 30m
Correct answer: 15m + 30
The one-time fee is 30 and the recurring monthly fee is 15m, giving 15m + 30.
Question 5: Which pair of expressions is equivalent?
- 5 + 2x and 7x
- 3(x + 2) and 3x + 6 (Correct answer)
- 4x − x and 4
- 2x + 3x and 6x
Correct answer: 3(x + 2) and 3x + 6
Distributing gives 3(x + 2) = 3x + 6, which is equivalent.
Question 6: In a pattern, the number of dots in figure n is given by 2n + 3. How many dots are in figure 6?
- 11
- 13
- 15 (Correct answer)
- 18
Correct answer: 15
2(6) + 3 = 12 + 3 = 15.
Question 7: Which statement correctly describes what happens to y when x increases by 1 in the rule y = 5x − 2?
- y decreases by 2
- y increases by 2
- y increases by 5 (Correct answer)
- y stays the same
Correct answer: y increases by 5
The coefficient of x is 5, so each 1-unit increase in x causes y to increase by 5.
CAASPP Algebraic Thinking 5
Which value of n makes 2n + 7 > 19 true?