Expanding
Brackets
Factorizing Expressions
Substitution
into Expressions
Constructing Expressions
Changing the Subject of a Formula
100

Expand 3x(x - 4y)

3x2 - 12xy

100

Factorize 3m + 15mn2 - 9nm2

3m (1 + 5n2 - 3nm)

100

If m = 0.5, x= 3, and y= 2, find the value of -3x + my

-8

100

Why don’t mummies take vacations?

They’re afraid to relax and unwind.

100

If the area of a triangle is represented by A = bh/2, rearrange the equation to solve for b.

2A/h = b

200

Expand and simplify 5a2 - a(1 + 2a)

3a2 - a

200

What are possible dimensions of a rectangle that has an area of 6xy + 42x

6x by y+7

200

What has a face and two hands, but no arms or legs?

A clock.

200

Construct the expression for the area and the perimeter of a rectangle that has the side lengths 5x-4 and 3.

Area: 15x-12

Perimeter: 10x-2

200

What do snowmen call their kids?

Chill-dren

300
Expand and simplify (x+7)(x-3)

x+ 4x -21

300

What kind of room has no doors or windows?

A mushroom. 

300

If m = -2, y = 5, and x = 3, find the value of 35(mx -y)

-385

300

Write down the expression for the shaded area in the shape projected. 

9x+84

300
Make w the subject for the formula 

x = (w(y-z))/v

w = (xv)/(y-z)

400

Expand and simplify (3 + x)(3 - x)

9 - x2

400

Factorize x2 - 8x + 12

(x-2)(x-6)

400

What is the volume of a sphere that has a radius of 4cm? Round your answer to two decimal points. Remember, the formula for the volume of a sphere is 

V = (4 x pi x r3)/3

268.08 cm3

400

Construct the expression for the area and the perimeter of a rectangle that has the side lengths 3x+8 and 2x-4.

Area: 6x2+4x-32

Perimeter: 10x+8

400

Rearrange the formula to make x the subject

T = 2x3 - 4y

x = cubed root of (T + 4y)/2

500

Name the first 5 digits of pi. 

3.1415

500

Factorize x2 - 49

(x+7)(x-7)

500

If A = (pi x b2) - (pi x c2), find A when b = 0.2 and c = 0.5. Round your answer to two decimal places.

-0.66

500

Construct the expressions for the area and perimeter of the following shape projected.

Area: (18x2+5x-3)/2

Perimeter: 16x+6

500

If A = (B/C) + DE, rearrange the formula to solve for D first, then rearrange again to solve for C. 

D = (A - (B/C))/E

C = B/(A - DE)

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