ICAS Algebra and Patterns Questions and Answers

Question 1

A sequence of shapes is created using matchsticks. The first three shapes are shown below. If the pattern continues, how many matchsticks will be needed to make the 7th shape in the sequence?

Accepted Answer

25

Answer

21

Answer

22

Answer

28

Question 2

A bakery sells cupcakes for $3 each and cookies for $2 each. On Tuesday, the bakery sold a total of 50 items and made $120. Which of the following equations could be used to find the number of cupcakes (c) and cookies (k) sold?

Accepted Answer

c + k = 50 AND 3c + 2k = 120

Answer

c + k = 120 AND 3c + 2k = 50

Answer

c + k = 50 AND 2c + 3k = 120

Answer

c = 50 + k AND 3c = 120 + 2k

Question 3

If x = 5, what is the value of the expression 4(x + 2) - x² ?

Accepted Answer

8

Answer

18

Answer

3

Answer

23

Question 4

A function machine follows the rule 'multiply by 3, then subtract 5'. If the input is 4, what is the output?

Accepted Answer

7

Answer

9

Answer

-8

Answer

17

Question 5

Which of the following statements correctly describes the relationship between the numbers in the sequence: 2, 6, 18, 54, ...?

Accepted Answer

Each number is 3 times the previous number.

Answer

Each number is 4 more than the previous number.

Answer

Each number is the previous number squared.

Answer

Each number is 4 times the previous number minus 2.

Question 6

The formula for the perimeter of a rectangle is P = 2(l + w), where l is the length and w is the width. A rectangular garden has a perimeter of 30 meters and a length of 9 meters. What is its width?

Accepted Answer

6 meters

Answer

21 meters

Answer

15 meters

Answer

12 meters