Solving Equations

Linear Equations

100

x+8=14

x=6

200

x-15=20

x=35

300

5(x-3)=15

x=2

400

3(7-x) + 6(5-x) = 78

x=-3

500

5(x-2) + 8(x/2) = 89

x=11

Multi-step Equations

100

x+5 = 2x-3

x=8

200

2x+2 = 3x-1

x=3

300

3x-7=8x+18

x=-5

400

7(6x-5)=4(3x+2)

x = 43/30

500

125(x/5)=5(x-3)+6

x = -9/20

Simultaneous Equations

100

x + y = 6

y = x + 2

x=2

y=4

200

4y-x = 23

y=8x -2

x=1

y=6

300

x/7 + y = 33

x= 63y + 21

x=210

y=3

400

4y+2x = 15

x= 3y +7

x=7.3

y= 0.1

500

x/3 +5y = 33 

2x=42y + 66

y = 2

x=69

Quadratic Equations

100

(x+3)(x-2)=0

x = -3, 2

200

x² + 5x -125 = 0

x=5, -25

300

x²-7x+21=9

x=3,4

400

2x²+42x+242=22

x=-10,-11

500

2x²-5x-3=0

x=3,-0.5

Worded Problem

100

Sophie has 5 more apples than Mia. If Sophie has 12 apples, how many does Mia have?

Mia has 7 Apples.

200

A number is doubled and then increased by 3. The result is 17. What is the number?

The number is 7.

300

Tom earns $10 per hour and a $25 bonus for the day. If he earned $85 in total, how many hours did he work?

Tom worked 6.5 hours.

400

A school sells 10 adult tickets and 20 child tickets for $260. Another day, they sell 5 adult tickets and 10 child tickets for $130. What is the cost of one adult ticket and one child ticket?

Adult Ticket = $16

Child Ticket = $5

500

A rectangle’s length is 3 metres more than its width. Its area is 54 m². Find the dimensions of the rectangle.

Width = 6m

Length = 9m