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Patterns and Algebra

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Which choice models this situation? Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

2.

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.


Which equation can you use to find the number of lollipops n in the jar?

a)

n/6 = 4

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

3.

Find the value of x.

(a)  

4.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

5.

11, 9, 7, 5, ..

a)

7

b)

4

c)

3

d)

2

6.

Extend this
NON-NUMERIC pattern
∎ ⊙ ⊠ ⊙ ∎ ⊙ ⊠ 

a)

⊙ ⊙ ⊙

b)

⊙ ⊟⊟ ⊙

c)

⊙ ∎ 

d)

≗ ≘ ∗

7.

Given the following tile pattern, how many tiles would be in the 5th shape?

a)

b = 8

b)

b = 11

c)

b = 7

d)

b = 9

8.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

9.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

4 + 6x = 18

b)

4x + 6 = 18

c)

6x + 4 = 18

d)

not enough info

10.

5 = 7s - 9

a)

2

b)

6

c)

7

d)

8

11.

Which equation has x = 2 as a solution?

a)

3 + x = 10

b)

11 + x = 13

c)

4x = 32

d)

5x =25

12.

A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?

a)

c = 3.00 - 0.15m

b)

c = 0.15 + 3.00m

c)

3.00 = c + 0.15

d)

c = 3.00 + 0.15m

13.

What is the missing number?

a)

12

b)

10

c)

14

d)

13

14.

Create an algebraic expression that represents 8 more than z

a)

z - 8

b)

z + 8

c)

8 - z

15.

The product of 8 and m

a)

8m

b)

m8

c)

m + 8

d)

8 +  m