ICAS Algebra and Patterns 4

Question 1

Which sequence follows the rule 'subtract 5 each time'? Starting term: 40

Accepted Answer

40, 35, 30, 25, 20

Answer

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?

Accepted Answer

5

Answer

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?

Accepted Answer

18

Answer

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?

Accepted Answer

49

Answer

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?

Accepted Answer

8

Answer

Divide both sides by 4: x − 2 = 6, then add 2: x = 8.

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