Year 7 Algebra Revision

Finding Unknowns

100

w+6=9

w=3

200

2x+4=20

x=8

300

7z+6z=26

z=2

400

4 times 3x = 24

x=2

500

(g/6)+20 = 25

g=30

Collecting Like Terms

100

20b+18b

38b

200

12x-5x+9x

16x

300

2m-3m-m-6m

-8m

400

2k+6h-15k-6h

-13k

500

-8h+2t-11h-12t+5h-6t

-14h-16t

Multiplication/Division

100

x times x times 4

4x²

200

3 times k times 2 times k times m

6k²m

300

f divided by m

f/m

400

(3 times k) divided by m

(3k)/m

500

22 divided by (11 times f)

2/f

Factorising/Expanding

100

Factorise:

2+6x

2(1+3x)

200

Expand:

2x(3y+4)

6xy+8x

300

Factorise:

-16-8x

-8(2+x)

OR

8(-2-x)

400

Expand and simplify:

7p(1-2p)-3p(2p-4)

19p-20p²

500

Factorise: 

8x²y³+16xy³

8xy³(x+2)

Miscellaneous

100

Convert 16:00 into 12hr time.

4:00pm

200

Convert 12:00am into 24 hr time

00:00

300

A farmer plants an orchard of apple trees. In one direction she plants p trees and in the other direction she plants c trees. How many trees has she planted in total?

p+c

400

Find the value of x:

-8x²=-32

x= 2 or -2

500

Write an expression that shows:The sum of the product of a and b and the product of p and q.

ab+pq