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year 8 w/c 11/5 form and solve equations

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

I think of a number, multiply it by 4 then subtract 7. I get an answer of 2. What number was I thinking of?

a)

13

b)

36

c)

15

d)

1

2.

I think of a number, multiply it by 3, then add 8. My answer is -1. Choose the correct equation.

a)

3n + 24 = -1

b)

3n - 8 = -1

c)

3(n + 8) = -1

d)

3n + 8 = -1

3.

I think of a number, subtract 7, then multiply by 3. My answer is 4. Choose the correct equation.

a)

n - 7 x 3 = 4

b)

3(n - 7) = 4

c)

3n - 7 = 4

d)

n - 21 = 4

4.

I think of a number, divide it by 3 and then subtract 4. My answer is 5. Choose the correct equation.

a)

n34 = 5\frac{n}{3}-4\ =\ 5

b)

n43=5n-\frac{4}{3}=5

c)

(n4)3= 5\frac{\left(n-4\right)}{3}=\ 5

d)

n3 - 4 = 5

5.

Matthew is t years old, Steve is 4 years older than Matthew. Altogether they are 48 years old. Write a simplified equation to show this

a)

t + 4 = 48

b)

t + t + 4 = 48

c)

2t + 4 = 48

d)

t = 22

6.

Kate is x years old, Mohammed is 1 year younger than Kate. Altogether they are 23 years old. Write a simplified equation to show this.

a)

x = 12

b)

2x - 1 = 23

c)

x - x - 1 = 23

d)

x - 1 = 23

7.

Darnesha is w years old. Tia is twice as old as Darnesha. The sum of their ages is 36. Write a simplified equation to show this.

a)

w + 2w = 36

b)

3w = 36

c)

w + w + 2 = 36

d)

w = 12

8.

A rectangular field is y metres wide. Its length is 5 metres longer than its width. The perimeter of the field is 18metres. Write a simplified equation to show this

a)

y + 5 = 18

b)

y + y + 5 = 18

c)

2y + 5 = 18

d)

4y + 10 = 18

9.

Solve  y34 = 2\frac{y}{3}-4\ =\ -2  

a)

y = -18

b)

y = 6

c)

y = -6

d)

y = -18

10.

Solve  (y  3)2=5\frac{\left(y\ -\ 3\right)}{2}=-5  

a)

y = -7

b)

y = 7

c)

y = 13

d)

y = -13