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32 Cards in this Set

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Simplify:


3x + 4 + 6x + 8

9x + 12

Simplify:


6a + 3b - 2a + 5c + 4b

4a + 7b + 5c

8x + 12

Simplify:


a (b + c)

ab + ac

Simplify:


a (b + c)

ab + ac

Simplify:


(a + 2)^2

a^2 + 4a + 4

Expand:


(x + 4) (2x + 3)

2x^2 + 11x +12

Expand:


(x - 2) (3x - 4)

3x^2 - 10x + 8

Expand:


(2x + 7) (3x - 4)

6x^2 + 13x -28

Multiply:


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

x^3 + 6x^2 - x - 30

Multiply:


(2x - 3) (x + 1) (x - 1)

2x^3 - 3x^2 - 2x + 3

Solve by factorising:


x^2 - 3x - 10 = 0

x = -2 or x = 5

Solve by completing the square:


x^2 + 6x - 2 = 0

x = (+- root 11) - 3

Solve by completing the square:


x^2 + 6x - 2 = 0

x = (+- root 11) - 3

Solve using the formula:


4x^2 + 20x + 25 = 0

x = -2.5

What is the quadratic formula?

(- b +- root (b^2 - 4ac) ) ÷ 2a

Solve this simultaneous equation by using substitution:


y - 2x = 1


2y - 3x = 5

x = 3


y = 7

Solve this simultaneous equation using elimination:


2x + 3y = 8


3x + 2y = 7

x = 1


y = 2

Solve this simultaneous equation:


y= x^2 + 2x + 1


y = x + 3

If f(x) = x - 9


Find f(17)

8

If f(x) = root ( (x + 8) ÷ 5)


Find f(117)

5

If f(x) = x^2 and g(x) = x + 1


What is fg(x)

x^2 + 2x + 1

If f(x) = x^2 and g(x) = x + 1


What is fg(x)

x^2 + 2x + 1

Find the inverse of


f(x) = 6x + 5

(x - 5) ÷ 6 = f^-1(x)

Find the inverse of


f(x) = (x + 4) ÷ 5

5x - 4 = f^-1(x)

Rearrange formula to make 'a' the subject


b = 5a + 21

a = (b - 21) ÷ 5

Rearrange to make 'y' the subject


3y - p = h(2 + y)

Factorise x^2 + 5x + 6

(x + 2) (x + 3)

Simplify


(x^2 - 7x - 8) ÷ (x^2 + 3x + 2)

(x - 8) ÷ (x + 2)

Simplify


(x^2 - 7x - 8) ÷ (x^2 + 3x + 2)

(x - 8) ÷ (x + 2)

Solve for x


x + 1 = 10(x - 3)

x = 31 ÷ 9


Or


x = -31 ÷ -9

Simplify