Year 10 Equations

EXPAND & SIMPLIFY

100

(3x – 4)(x + 2)

3x² +2x - 8

200

(2x + 5)² - 6

4x² +20x + 19

300

(x – 1)(x² + x + 1)

x³ - 1

400

((x + 1) – 3y)((x + 1) + 3y)

(x + 1)² - 9y² = x² + 2x + 1 - 9y²

500

(a + b)² – (a – b)²

4ab

FACTORISE

100

15x - 75 

15 (x - 5)

200

x² – x – 12

(x - 4)(x + 3)

300

x³ + 2x² + 3x + 6

(x² + 3)(x + 2)

400

3x² – 10x + 8

(3x - 4)(x - 2)

500

x⁴ - 16

(x² + 4)(x + 2)(x - 2)

ADD/SUBTRACT TERMS

100

Simplify: 4x² + 5x – x² + 2x

3x² + 7x

200

Simplify: 3(x + 4) – 2(x – 1)

x + 14

300

Simplify:  a/4 + a/3  

 (7a)/12 

400

Simplify:  (2x+1)/3 +(x-5)/2 

 (7x-13)/6 

500

Solve:  (x+2)/3 - (x-4)/5 = 2 

x = 4

MULTIPLY/DIVIDE TERMS

100

Simplify: 3ab x 4b

12ab²

200

Simplify: (12x^2y)/(4xy^3) 

 (3x)/(y^2) 

300

2m²n x 5mn³

10m³n⁴

400

 (4x^2)/y div(2x)/(y^3) 

 2xy^2 

500

 (15x^3)/(2x+2) X (3x^2+6x)/(10x) 

 (9x^3)/4 

SOLVE QUADRATICS

100

x^2-25=0

 x=+-5 

200

 x^2-10x+21=0 

 x=7, x=3 

300

 2x^2+7x+3=0 

 x=-3, x=-1/2 

400

Solve leave in surd form:  x² + 6x - 2 = 0

 x = +- sqrt11 - 3 

500

 x-6/x = 1 

x = 3, x = -2

LITERAL EQUATIONS

100

MAKE w THE SUBJECT: P=21+2w 

 w=(P-21)/2 

200

MAKE x THE SUBJECT: y=(4x-7)/2 

 x=(2y+7)/4 

300

MAKE r THE SUBJECT: V = 1/3 pi r^2 h 

r=sqrt((3V)/(pi h) 

400

MAKE x THE SUBJECT:  y=sqrt((x+k)/m) 

x=my^2-k 

500

MAKE x THE SUBJECT:  y=(x+5)/(x-3) 

 x=(3y+5)/(y-1)