Revision

Expanding Brackets

100

Expand: 2x(3-x)

6x-2x²

200

Expand: (x+1)(x+2)

x² + 3x + 2

300

Expand: (x - 4)(x + 5)

x² + x - 20

400

Expand: (3x - 2)(2x + 5)

6x² + 11x - 10

500

Expand: x(2x + 3)(x - 5)

2x³ - 2x² -15x

Index Laws

100

Simplify: a³ . a⁴

a⁷

200

Simplify: y⁶/y²

y⁴

300

Simplify: (a²b³)²

a⁴b⁶

400

Simplify: a³ - b⁵

a³ - b⁵

500

Simplify: (3x⁴y²) / (6xy³)

(x³) / (2y)

Equations of Straight Lines

100

What is the graident & y-intercept of this line?

y=2x-1

Graident = 2

y-intercept = -1

200

Find the equation of a line with graident 2 passing through the point (1, 3).

y = 2x + 1

300

What is the graident of teh line passing through (2, 5) and (6, 13)

Graident = 2

400

Find the equation of the line perpendicular to y = - 1/2x + 4 and passing through (4, -1).

y = 2x - 9

500

A line passes through (1, -2) and is parallel to 3y - 6x = 12. Find its equation in the form y = mx + c

y = 2x - 4

Functions

100

If f(x) = 2x -1, find f(-2)

f(-2) = -5

200

If g(x) = 2x², find g(-3)

g(-3) = 18

300

If f(x) = x³ - x, find f(-2)

f(-2) = -6

400

If f(x) = x² + 2x, find f(x + 1)

x² + 4x + 3

500

f(x) = 3x - 2 and g(x) = x², find f(g(2))

g(2) = 4

f(4) = 10