Equations

Two-step equations

100

2x + 4 = 16

x = 6

200

16 = 5x - 24

x = 8

300

-9a + 33 = -3

a = 4

400

47 = 5 - 14y

y = -3

500

-34 - 12x = -42

x = 2/3

Expanding brackets

100

2(x + 3) = 8

x = 1

200

3(a-6) = 0

a = 6

300

8(x-12) = 24

x = 15

400

5 -3(y-4) = 23

y = -2

500

4(g + 3) - 2(4 - g) = 22

g = 3

Letters on both sides

100

2x = x + 2

x = 2

200

x - 6 = 3x - 16

x = 5

300

-2a - 8 = 10a - 8

a = 0

400

13p + 15 = -13 - p

p = -2

500

2(x+5) = -4(x+3.5)

x = -4

Word problems

100

7 less than a number is 5. What is the number?

12

200

The difference between double a number and 4 is equal to 8. What is the number?

6

300

A number is added to 5 and the result is multiplied by 6. The result is -24. What is the number?

-9

400

The sum of three consecutive numbers is -9. What is the largest number?

-2

500

Josh and his brother's ages add to 24. His brother is 4 years younger than him. How old is Josh? 

14