10 General Maths Revision

Linear equations

100

Solve for x: 

2x-5 =11

x=8

100

Does the point (-2,9) lie on the line y=-4x+1

Yes 

100

Expand: 

2(x+4)

2x+8

100

Determine the gradient between the points: 

(2,6) and (8, 18)

2

200

What is the equation of the line that goes through the points: (-4, 0) (0,8)

 y=2x+8

Index Laws

100

Simplify:

a² x a³

a⁵

100

Simplify: 

a⁶ / a²

a⁴

100

Simplify: 

a⁰

1

100

Simplify: 

(a⁴)²

a⁸

200

Simplify:

12(a² x b¹⁰ x a⁶) / 6(a² x b³)³

2a² b

Exponentials

100

For the exponential function: y=2^x 
find the values of y when x=
-1, 0, 1, 2

1/2, 1, 2, 4

100

For the exponential function: y=3^x
find the values of y when x=
-1, 0, 1, 2 

1/3, 1, 3, 9

100

If the value of a house is expected to grow by a percentage, what formula from my formula sheet would I use to represent this?

A= A₀ (1+r/100)ⁿ

100

A $20 000 necklace is expected to grow in value by 2% per annum. Determine the price of the necklace after 2 years.

$20 808

200

A water tank that has 60 000 L of water, is leaking at a rate of 4% every minute. Use trial and error to determine when the water tank will have less than 

20 000L. (To the nearest minute)

27 minutes

Binomial expansion

100

Expand and simplify:

(x+2)(x+4)

x²+6x+8

100

Expand and simplify:

(x-2)(x+4)

x²+2x-8

100

Expand and simplify:

(x+3)(x-6)

x²-3x-18

100

Expand and simplify:

(x-4)(x+4)

x²-16

200

Expand and simplify:

(x-6)(x-4)

x²-10x+24

Miscellaneous

100

List the 4 proofs you could use for similar triangles

SAS, AAA, SSS, RHS

100

Factorise: 

4x+20 

4(x+5)

100

Determine the x-intercept and the y-intercept for the graph: 

y=2x-4

x-intercept = (2,0)

y-intercept = (0,-4)

100

Factorise: 

12x - 30x²

6x(2-5x)

200

$50 000 is invested into an account that has an 11% return. How long will it take for the account to be valued over $1 million? (round up to the next whole year)

32 years