WP Math 10 Review part 2 (Algebra)

Understanding balance (1 step)

100

X+7=3

x=-4

200

X-6=5

x=11

300

3x=30

x=10

400

x/2=10

x=20

500

2/x = 10

x= 1/5

Understanding balance (2 step)

100

 4 - 2x = 18

x=-7

200

7x/2 = 21

x=6

300

3x + 5 = 14

x=3

400

3(x + 2) - 4 = 14

x=4

500

 3(2x + 1) - 5 = 16

x=2

Eliminating brackets using distributivity

100

2(x+4)=8

x=0

200

-3(x-7)=-5

x=26/3

300

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

x=-7

400

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

x= 41/22

500

8(3x-12)=12x

x=8

Eliminating fractions using LCM

100

(4/7)x + 2/7 = 5/7

x=1

200

(3/4)x - 2/3 = 5/6

x=10

300

(5/6)x - 1/3 = 1/2

x=1

400

(2/5)x + 3/10 = 7/10

x=1/3

500

(1/2)x + 1/4 = 3/8

x=-1/4

Equations from Word Problems (Real life)

100

A train is traveling at a speed of 60 km per hour. How far will it travel in 4 hours?

240 km

200

A store is having a sale with 25% off all items. If a shirt originally costs $40, what is the sale price?

$30

300

A family shared 3 pizzas equally among 6 people. How many pizzas did each person receive?

1/2 pizza

400

A rectangular garden has a length that is 3 times its width. If the perimeter is 56 meters, what are the dimensions of the garden?

Length: 42 meters, Width: 14 meters 

500

The sum of two numbers is 45. If one number is 15 more than the other, what are the numbers?

30 and 15