ICAS Algebra and Patterns 3

Question 1

A shop charges $4 per item plus a $6 delivery fee. Which equation represents the total cost C for n items?

Accepted Answer

C = 4n + 6

Answer

The total is $4 multiplied by the number of items plus the fixed $6 fee: C = 4n + 6.

Question 2

What is the missing term in the pattern: 2, 6, 18, __, 162?

Accepted Answer

54

Answer

Each term is multiplied by 3: 2×3=6, 6×3=18, 18×3=54, 54×3=162.

Question 3

If y = 2x − 7 and x = 5, what is y?

Accepted Answer

3

Answer

Substitute x = 5: y = 2(5) − 7 = 10 − 7 = 3.

Question 4

A pattern of triangles is built with toothpicks: 1 triangle uses 3, 2 triangles share a side and use 5, 3 use 7. How many toothpicks are needed for 8 triangles?

Accepted Answer

17

Answer

The rule is T = 2n + 1, so for n = 8: T = 16 + 1 = 17.

Question 5

Which expression has the same value as 4x + 2x − 3 + 5?

Accepted Answer

6x + 2

Answer

Combine like terms: 4x + 2x = 6x and −3 + 5 = 2, giving 6x + 2.

(ICAS) ICAS Practice Test

(ICAS) ICAS Practice Test

ICAS Algebra and Patterns 3