Solving Equations
Solve: 4x + 7 = 31
x = 6
How do we label a co-ordinate in co-ordinate geometry?
(x,y)
Expand: 2(x+3)
2x + 6
What is the highest common factor between:
5 and 15
The ratio of boys to girls in a class is 3:5. If there are 15 boys, how many girls are there?
25 girls
Solve: 5x - 5 = 10
x = 3
Find the volume of a cube with a length of 8cm, a height of 5cm and a width of 6cm.
8x5x6 = 240cm3
Expand: 4 (x + 3)
4x + 12
What is the highest common factor in; 14 and 35
7
A jacket costs €80. It is reduced by 25% in a sale. What is the sale price?
€60
Solve: 3x + 3 - 2x = 21
x = 18
Solve: 4x + 3 = 2x + 9
x = 6
Expand: 5 (a - 7)
5a - 35
Factorise 3x + 6
3 (x + 2)
Sarah earns €2,400 per month. She spends 35% of her income on rent and 20% on food and bills. How much money does she have left each month?
€1080
Solve:
4p - 6 + 2p = 30
p = 6
The equation y = 2x + 4 describes the growth of a tree over time. x is the weeks it takes a tree to grow and y is the height of the tree (in cm). How tall would the tree be after 3 weeks?
10
Expand: 2x ( x + 4)
2x2 + 8
Factorise: 18x2 + 36x
9x(2x+3)
A car travels at an average speed of 72 km/h. How far will it travel in 2 hours 45 minutes?
198km
Solve:
x/3 + 6 = 9
x = 9
Solve the equation x2 +7x +10 =0
x= 10 and x= -3
Expand and simplify: 4(x+3) - x
3x + 12
Factorise 15x2−22x−8
(15x+4)(x−2)
A shop buys a bicycle for €320 and increases the price by 30%. During a sale, the shop then gives customers 15% off the increased price. What is the final selling price, and what percentage profit does the shop make compared with the original €320 cost?
€353.60 selling price, 10.5% profit