Y8 Algebraic Equations

Expansion

100

2(x+8)

2x+16

200

2x(x+5)

2x²+10x

300

-3r(2r-5)

-6r²+15r

400

3(x+y+4)

3x+3y+12

500

5x(x²+6x-3)

5x³+30x²-15x

Factorization

100

3x+6

3(x+2)

200

5y-10

5(y-2)

300

3x²+12x

3x(x+4)

400

4ab²-6a²b

2ab(2b-3a)

500

2b²-4ab+6b³

2b(b-2a+3b²)

One Unknown

100

x+2=6

x=4

200

x-15=-6

x=9

300

2x+6=10

x=2

400

3x-5=-8

x=-1

500

x/5-7=13

x=100

Repeated Unknowns

100

a-17+6a=18

a=5

200

7x+2(x+1)=65

x=6

300

5y+10=y+22

y=3

400

8-9x=3-4x

x=1

500

2(x+3)=3(x+1)

x=3

Word Problems

100

There are 5 apples in a kilogram. Miss Colman bought x kilograms. Write an expression for how many apples Miss Colman buys. 

5x

200

A number is divided by 6 and then 9 is subtracted from it giving a result of -3. 

x=36

300

Write an expression for perimeter of a rectangle with side lengths x cm and (x+2) cm.

P=4x+4

400

Write an expression for area of a triangle with base 6 cm and height (y-4)

A=3y-12

500

Bulimba Golf Club has a Friday night Special. Each game is $3.50, and club rental is $6. Mr Desai spent $27 total. How many games did he play?

x=6