Solving Equations

One-Step Equations

100

4 = -8 + x

x= 12

200

x + 12 = 0

x= -12

300

3 = -2 – x

x= -5

400

5x = -80

x= -16

500

-16 = x+2

x= -18

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

x/2 + 13 =-8

x= -42

400

x/2 + 5 =10

x= 10

500

x/3 - 6 = -3

x= 9

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4 + 5x = 29

x = 5

300

Solving Equations

-45 = x + 4

x = -7

400

Solving Equations

14 = (3a + 6) + 2

a=2

500

Solving Equations

-21 = 7(5k - 8)

k = 1

Mixed Equations

100

Solving Equations

x - 2 = 6

x = 8

200

Solving Equations

-5p + 1 = 6

p = -1

300

Solving Equations

2n+10 = 4

n = 2

400

Solving Equations

5(m-3) = 4

m = 19/5

500

Solving Equations

3(𝑥 − 9) = −3

x = 8

Forming and Solving Equations

100

Greg is x years old. 

Daisy is 2 years older than Greg. 

Their sum of their ages is 40.

How old is Greg?

2x + 2 = 40

x = 19

200

I think of a number. I multiply the number by 3 and then add then add 5. The answer is 29. What is the number I was thinking of?

3x+5=29

x=8

300

The sum of 3 consecutive numbers is 51. What are the numbers?

x + x + 1 + x + 2 = 51

3x + 3 =51

x=16

16,17,18

400

Fiona is x years old. Thomas is 3 years older than Fiona. Cara is twice as old as Fiona. The sum of their ages is 51. How old is Thomas, Fiona and Cara?

x+x+3+2x=51

4X+3=51

Fiona=12, Thomas=15, Cara=24

500

A rectangular field is 20 metres longer than wide. The perimeter of the field is 280m. Find the length and width of the field. 

x+x+20+x+x+20=280

4x+40=280

x=60

Width=60m, length =80m