Linear Equation
Simple Interest
Compound Interest
Factorising
Expanding
100

A caravan park charges $30 immediately as a deposit to book a site and a further $15 per night to stay at the park.

  • Write an equation to show the relationship between cost (C) and night (n)

Cost = 30 +15n

100

How much simple interest does a $318 investment earn at 9% over one year?

$28.62

100

Nelly borrows $1300 at 7.3% interest p.a. compounding annually. Calculate the amount total amount she repays if she pays it off after 2 years.

$1496.73

100

x^2 + 10x + 16

(x+8)(x+2)

100

(x+2) (x+5)

x^2 + 7x + 10

200

A service technician charges $50 up front and $25 per hour each hour he works. What will a 4 hour job cost?

Cost = 50 + 25h 

Cost = 50 + 25 x 4 

Cost = $150


200

If you borrow $675 for six years at a simple interest rate of 10%, how much will you pay in total?

$1080

200

Dusty borrows $50,000 for a new landcruiser. If Toyota is charging 8% interest compounding annually on a 6 year loan, how much will be payed back by the end of the loan?

$79343.72

200
x^2 + 7x + 12

(x+1)(x+6)

200

(x-9) (x-5)

x^2 -14x + 45

300

A service technician charges $50 up front and $25 per hour. How many hours did he work if he earned $525. 

525 = 50 + 25x

19 = x 

300

If you borrow $500 for five years at a simple interest rate of 4.8%, how much will you pay in total?

$620

300

Phoenix borrows $350,000 to mortgage his first home. The bank offers a loan of 7% compounding monthly for 30 years. What amount will have been paid back by the end of the loan?

$2,840,774.116 

This is assuming no repayments are made

300

x^2+ x - 6 

(x+3) (x-2) 

300

(x+4)^2

x^2 + 8x + 16

400


On Sunday morning rain fell at a rate of 2mm per half hour into the rain gage. The rain gage started with 6mm from the night before. The relationship between mm of rainfall (R) and time in hours (t) is

t = 2R + 6

R = 6 - 2t

R = 4/2T + 12/2 

R = 4t + 6 

R = 4t + 6

400

Hildra is given 2 options for an investment. Determine the best and explain why:

  • $4500 simple interest of 6% p.a. for 10 years
  • $4500 at 5.9% p.a. compounding quarterly for 10 years

Simple = $7200 over 10 years

Compound = $8083.05 over 10 years

Because we are investing Compound option is better as we want more money 

400

x^2 + 9x - 22

(x + 11) (x - 2)

400

(x - 5)^2

x^2 -10x + 25

500

Mr. T marks 1 draft every quarter of an hour then spends half an hour writing general class feedback. The equation where  is number of drafts and  is total hours drafting is:

H = 4d +30

H = 1/2d + 1/4

H = 1/4d + 1/2 

d = 4H

H = 4d + 30 

500

Mr Watson wants $20,000 in 1 years time to go on an overseas holiday. He is going to invest his money in an account earning 5.55% interest compounding monthly. What does he need as an initial investment to make this happen?

$18,932

500

2x^2 + 22x + 36

2(x^2 + 11x + 18) 

2(x+2) (x+9) 

500

(3x + 11) (3x-11)

9x^2 - 121
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