Solving
Simplifying
Expanding
Factorising
Linear Patterns
100
6a = 54
a = 9
100
10b - 3b =
10b - 3b = 7b
100
Expand 5(a + 6)
5(a + 6) = 5a + 30
100
Factorise 4a + 16
4a + 16 = 4(a + 4)
100
m = 4p + 1
200
x/7=4
x = 28
200
3a2 x 2b4 x a6
6a8b4
200
Expand -y(5 - 7y)
-y(5 - 7y) = -5y + 7y2
200
Factorise
16a2 + 8a
16a2 + 8a = 8a(2a +1)
200
y = 3x - 2
What is the gradient?
What is the y-intercept?
Gradient = 3
Y-intercept = -2
300
3x - 10 = -1
x = 3
300
(6x^3y^8)/(24x^5y^4)
y^4/(4x^2)
300
Expand 3a( 2 - 4a3)
3a( 2 - 4a3) = 6a - 12a4
300
Factorise
10x + 40y + 60z
10x + 40y + 60z = 10(x + 4y + 6z)
300
What is the rule for this pattern?
3n -2
400
-2(3 - x) = 10
x = 8
400
-7x2 + 5x - 7x + 10x2
3x2 - 2x
400
Expand
(x + 2)(x + 3)
(x + 2)(x + 3) = x2 + 5x + 6
400
Factorise
x2 + 3x + 2
x2 + 3x + 2 = (x + 1)(x+2)
400
What is the rule for this pattern?
-4n +17
500
5x - 10 = - 4x +8
x = 2
500
((2x^3)^2)/(4x^2y^3)
(x^4)/(y^3)
500
Expand
(x - 4)(x + 8)
(x - 4)(x + 8) = x2 + 4x - 32
500
Factorise
x2 - 9x -10
x2 - 9x -10 = (x + 1)(x - 10)
500
What is the equation of this line?
y = 2x -3