Simplify
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Quadratics 1
Quadratics 2
Equations
Indices
Changing the subject
100

4x + 7x

11x

100

Expand 4(x+6)

4x+24

100

Expand (x+3)(x+6)

x2+9x+18

100

Solve (x+8)(x-1) = 0

x=-8,1

100

Solve 3x = 9

x=3

100

t2xt6

t8

100

Make x the subject of 2x - 7 = t

(t+7)/2=x

200

2x + 3y + 4x - 2y + 7

6x + y + 7

200

Expand 5t(t+4)

5t2+20t

200

Expand (y+7)(y-2)

y2+5y-10

200

Solve x2+3x-10=0

x=-5, 2

200

Solve 4x + 7 = 10x - 11

x=3

200

(t^5xxt^6)/t^3

t^8

200

3t^2 = p

Make t the subject


t=root2 (p/3)

300

3t2 + 4t2 - 6t2

t2

300

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

9x + 7
300

Factorise x2+6x+5

(x+1)(x+5)

300

Use the formula to solve x2 - 5x - 3 = 0

5.5, -0.5

300

Solve 

(4x+5)/2=6

x=1.75

300

Write without using powers:

e^(-1/2)

1/root (e)

300

Make x the subject

(x+3)/(x+t)=f

x=(ft-3)/(1-f)

400

6tw x 4ty

24t2wy

400

Write an expression for the area of the rectangle 

n2+2n

400

Factorise x2 - 7x + 12

(x-3)(x-4)

400

Complete the square for x2+6x+8

(x+3)2-1

400

The perimeter of this shape is 46cm. What is the length of each side?

16, 7

400

(3a^4b)^2

9a^8b^2

400

Make x the subject of 

(5c)/x+t=f

x=(5c)/(f-t)

500
(4x3y)2

16x6y2

500

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

2x+4

500

Factorise 2c2+9c+4

(2c+1)(c+4)

500
Complete the square and use to solve x2+8x-4=0

0.5, -8.5

500

Calculate the size of the biggest angle


x=44, so 68

500

Write without using indices:

5/(t^3)xxt/10

1/2 t^-2

500

(5c)/(x+t)=f

x=(5c-ft)/f

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