Term 3 Review

Expansion

100

Expand 3(x + 4)

3x + 12 

200

Expand 5(10x - 3)

50x - 15 

300

Expand x(x - 11) 

x² - 11x 

400

Expand 8(2x + 3) + 5x 

21x + 24

500

Expand 3(6x - 2) + 10(9x + 3)

108x +24

Factorising

100

Factorise (6x + 9)

3(2x + 3)

200

Factorise (14x + 20)

2(7x + 10)

300

Factorise (12x - 18)

6(2x - 3)

400

Factorise (28x² - 42) 

7x(4x - 6)

500

Factorise (24t² + 18st - 21txz)

3t(8t + 6s - 7xz)

Linear Equations

100

Solve 

x + 4 = 10

x = 6

200

Solve 

10x - 4 = 16

x = 2

300

Solve 

3(2x + 4) + 6 = 48

x = 5 

400

8x + 3 = 6x + 11 

x = 4

500

3(5x - 4) = 4(3x + 6)

x = 12

Algebra

100

Write an expression to represent...

2 more students coming into a room

x + 2

200

Write an expression for...

The number of students is halved.

x/2

300

Write an equation for...

The quantity of food was tripled. 

3x

400

Calculate the value of x for a triangle that has sides of 

x + 3, x + 4 and x + 5 and a total perimeter of 48cm. 

x = 12

500

What is the difference between an expression and an equation?

Provide an example of each. 

Expression has no equals sign, whilst an equation does equal a value. 

Expression 3x + 4

Equation 3x + 4 = 10

Worded Problems

100

What is the rate in the equation. 

C = 20x + 50

Rate is 20

200

What is the call out fee in the equation below. 

C = 45x + 100

Call out fee $100

300

Calculate the cost of a 4 hour job, when the business uses the following linear equation. 

C = 25x + 100

$200

400

Determine the hourly rate and call out fee for the electrician below. 

First Job he charges $140 for 2 hours 

Second Job he charges $320 for 6 hours. 

hourly rate = $45

Call out = $50

500

Which landscaper is the better option for 5hours.

Option 1 

C = 45h + 50

Option 2 

C = 50h + 30

Option 1 by $5 at $275.