Wages & Income
Mia earns $46,800 per year. What is her weekly income? Assume 52 weeks.
$100
What is the y-intercept of y=3x+5
5
A shirt costs $80 and is discounted by 25%. What is the sale price?
$60
If y=2x+3, find y when x=4.
11
Find the simple interest on $1,000 at 5% p.a. for 2 years.
$100
Noah earns $24.50 per hour and works 8 hours. How much does he earn?
$200
What is the gradient of y=−4x+7
−4
A prize of $6,300 is shared in the ratio 4 : 5. How much does the person with 4 parts receive?
$2,800
A line has gradient 4 and y-intercept −3. Write its equation.
y=4x-3
$4,000 is invested at 6% p.a. for 3 years. What is the final amount?
$4,720
Ava earns $26 per hour. On Saturday she is paid time-and-a-half and works 6 hours. How much does she earn?
$300
What type of gradient does a horizontal line have?
Zero gradient
A bike costs $350 and is reduced by 18%. What is the sale price?
$287
Find the midpoint between (−6,−2) and (4,10)
(−1,4)
Sarah invests $7,500 at 4.5% p.a. for 4 years. Find the interest earned.
$1,350
Liam earns $31.50 per hour and works 28 hours per week. What is his annual income? Assume 52 weeks.
$400
A table contains the values
x -2 -1 0 1 2
y 4 2 0 -2 -4
Find the x-intercept and y-intercept.
Both are (0,0)
Shop A sells 2 L of juice for $5.20.
Shop B sells 1.5 L for $3.75.
Which is the better buy?
Shop B
Find the equation of the line through (−2,5) and (4,−1).
y=-x+3
An investment earns $1,200 simple interest over 4 years at 5% p.a. What was the principal?
$6,000
Chloe earns $62,400 per year working 40 hours per week. Ethan earns $31 per hour. Who has the higher hourly rate?
Ethan
Find the gradient of the line through (−2, 3) and (4, 15).
2
Shop A sells 3.5 kg of dog food for $12.25.
Shop B sells 2.4 kg for $8.16.
Which is better value and by how much per kilogram?
Shop B by $0.10/kg
Find the equation of the line through (0,2) and (3,8).
y=2x+2
Jack invests $12,000 at 6.5% p.a. simple interest for 5 years. Find both the interest and final balance.
Interest = $3,900;
Final balance = $15,900