Year 9 Algebraic Equations

Index Laws

100

Simplify:

3a⁵ x 4a⁶

12a¹¹

200

Simplify:

(9t⁰)²

81

300

Simplify:

3a³b² x 4a⁵b⁷

12a⁸b⁹ 

400

Simplify:

(7t³)² x t⁴

49t¹⁰

500

Simplify:

(2a⁴)³ x (a⁴)³ x (3a)²

72a²⁶

1-Step Equations

100

Solve:

a+8=24

a=16

200

Solve:

m-3=-12

m=-9

300

Solve:

6a=-21

a=-3.5

400

Solve:

-b-5=20

b=-25

500

Solve:

-17d=272

d=-16

2-Step Equations

100

Solve:

6a-5=25

a=5

200

Solve:

8x-6=26

x=4

300

Solve:

-3y+2=17

y=-5

400

Solve:

4p-6=-10

p=-1

500

Solve:

3y+5=5

y=0

Equations with Variables on Both Sides

100

Solve:

11a+3=9a+1

a=-1

200

Solve:

6a-13=9a-15

a=2/3

300

Solve:

13x-29=31-7x

x=3

400

Solve:

x-13=2x-12

x=-1

500

Solve:

7x+15=-3-2x

x=-2

Equations with Brackets

100

Solve:

5(4a+1)=2a+3

a=-1/9

200

Solve:

6(m+3)+m+10=0

m=-4

300

Solve:

5(a+3)=4(7+a)

a=13

400

Solve:

7(x-28)=-28

x=24

500

Solve:

9(x+2)=7(x-2)

x=-16