10MAT Term 1 Revision

Linear Equations

100

If a=3 and b=5, solve

2b-a

7

200

9-y=6

y=3

300

i/4=3

i=12

400

(2x-3)/4=1

x=7/2 or 3.5

500

3x+2=5x-4

x=3

Word Equations

100

Three less than a certain number is 9 less than four times the number.

Write this as an equation

x-3=4x-9

200

Ben earns $𝑥 per week. $100 plus two weeks’ earnings gives $2200.

Write the equation.

100+2x=2200

300

Solve the following:

Eight less than a certain number is 2 more than three times the number.

x-8=2+3x

x=-5

400

A rectangle is four times as long as it is wide and its perimeter is 560 cm.

Determine the width of the rectangle.

w = 56cm

500

Kate is three times as old as her son. If Kate is 30 years older than her son, what are their ages?

Kate = 45 years old

Son = 15 years old

Expansion

100

6(a+2)

6a+12

200

a(2a-3)

2a^2-3a

300

(2g+1)(4g-3)

8g^2-2g-3

400

(2x-4)^2

4x^2-16x-8

500

(x+5)(x+3)(x+2)

x^3+10x^2+31x+30

Factorisation

100

4x+12

4(x+3)

200

2b^3-8b

2b(b^2-4)

300

9x^2-36

(3x+6)(3x-6)

400

x^2-10x+9

(x-1)(x-9)

500

3x^2+9x+4x+12

(3x+4)(x+3)

Algebraic Fractions

100

Whats the lowest common multiple of 3 and 4?

12

200

5/4-3/7

23/28

300

(5x-3)/7+(4x+5)/7

(9x+2)/7

400

(x-1)/2+(2x+3)/7

(11x-1)/14

500

(8xy)/(12z)xx(5w)/(3yz)

(10xw)/(9z^2)