Year 8 Advanced Maths - Equations

One Step Equations

100

4x=36

x=9

200

x/3 =13

x=39

300

14-x=5

x=9

400

2x=17

x=8.5

500

-3x=14

x=-4.7

or  x=-4 2/3

or  x=-14/3

Two Step Equations

100

2x+3=11

x=4

200

x/2-4=1

x=10

300

3a+3=2a+10

a=7

400

4x+7=33

x=6.5

500

-3x-8=4

x=-4

Equations with Brackets

100

2(x+5)=16

x=3

200

3(x+1)=-9

x=-4

300

3(2a+1)=27

a=4

400

5(a+4)=3(a+2)

a=-7

500

2(3m+5)=16+3(m+2)

m=4

Simple Quadratic Equations

100

x²=4

x = 2 or -2

200

x²=324

x = 18 or -18

300

state the number of solutions:

x²=-16

zero

400

x²=12

x=sqrt(12) or -sqrt(12)

500

2x²-28=100

x=8 or - 8

Problem Solving

100

Four pies cost $9.60. What is the cost of one pie?

$2.40

200

Six chairs and a table cost $3000 together. If the table alone cost $1740, how much does each chair cost?

$210

300

Three consecutive numbers sum to 24. What are the three numbers?

7, 8, 9

400

A number is triple, then 2 added. This gives the same result as if the number were quadrupled.

What is the number?

2

500

The average of a number and double the number is 25.5

17