ICAS Algebra and Patterns 4 — Questions and Answers
Question 1: Which sequence follows the rule 'subtract 5 each time'? Starting term: 40
- 40, 35, 30, 25, 20 (Correct answer)
- 40, 45, 50, 55, 60
- 40, 35, 25, 20, 15
- 40, 30, 20, 10, 0
Correct answer: 40, 35, 30, 25, 20
Subtracting 5 each time: 40, 35, 30, 25, 20.
Question 2: The cost to rent a bicycle is $3 per hour plus a $5 flat fee. If Maria paid $20, how many hours did she rent the bicycle?
- 5 (Correct answer)
- 6
- 4
- 7
Correct answer: 5
Set up 3h + 5 = 20, subtract 5: 3h = 15, so h = 5.
Question 3: What is the value of the expression 2m² when m = 3?
- 18 (Correct answer)
- 36
- 12
- 9
Correct answer: 18
Substitute m = 3: 2 × 3² = 2 × 9 = 18.
Question 4: A number pattern increases by the same amount each step: 7, 13, 19, 25, ... What is the 8th term?
- 49 (Correct answer)
- 43
- 55
- 47
Correct answer: 49
The common difference is 6; the nth term = 6n + 1, so the 8th term = 48 + 1 = 49.
Question 5: If 4(x − 2) = 24, what is x?
- 8 (Correct answer)
- 6
- 10
- 5
Correct answer: 8
Divide both sides by 4: x − 2 = 6, then add 2: x = 8.
Question 6: Which of the following is a geometric sequence?
- 3, 6, 12, 24, 48 (Correct answer)
- 3, 6, 9, 12, 15
- 2, 5, 8, 11, 14
- 1, 3, 6, 10, 15
Correct answer: 3, 6, 12, 24, 48
A geometric sequence has a constant ratio; 3×2=6, 6×2=12, 12×2=24, 24×2=48.
Question 7: If y = −3x + 10 and y = 1, what is x?
- 3 (Correct answer)
- −3
- 4
- −4
Correct answer: 3
Substitute y = 1: 1 = −3x + 10, so 3x = 9, giving x = 3.
ICAS Algebra and Patterns 4
Which sequence follows the rule 'subtract 5 each time'? Starting term: 40