Algebra and Patterns Flashcards
7 cards from real ICAS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Algebra and Patterns flashcards as text
Which sequence follows the rule 'subtract 5 each time'? Starting term: 40
Answer: 40, 35, 30, 25, 20
Subtracting 5 each time: 40, 35, 30, 25, 20.
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?
Answer: 5
Set up 3h + 5 = 20, subtract 5: 3h = 15, so h = 5.
What is the value of the expression 2m² when m = 3?
Answer: 18
Substitute m = 3: 2 × 3² = 2 × 9 = 18.
A number pattern increases by the same amount each step: 7, 13, 19, 25, ... What is the 8th term?
Answer: 49
The common difference is 6; the nth term = 6n + 1, so the 8th term = 48 + 1 = 49.
If 4(x − 2) = 24, what is x?
Answer: 8
Divide both sides by 4: x − 2 = 6, then add 2: x = 8.
Which of the following is a geometric sequence?
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.
If y = −3x + 10 and y = 1, what is x?
Answer: 3
Substitute y = 1: 1 = −3x + 10, so 3x = 9, giving x = 3.
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