Collecting Like Terms (includes some expanding)
Simplify by collecting like terms:
5e+7e-2m+6m
12e+4m
Expand the brackets:
4(x+5)
4x+20
Solve this equation:
n/3-4=2
n=18
If these two equations are added, what would the resultant equation look like?
3x - 2y = 8 and -3x + 6y = 2
4y=10
Would you solve this set of simultaneous equations by adding or subtracting?
2x-5y=8 and 3x-5y=2
Subtracting.
Simplify by collecting like terms:
4t+8h-t-3h
3t+5h
Expand the brackets:
-9(2e-4)
-18e+36
Solve this equation:
(2(x-4))/3=-6
x=-5
If these two equations are subtracted, what would the resultant equation look like?
5x+y=-7 and -3x+y=2
8x=-9
Expand the brackets
h(m-t)
hm-ht
Simplify by collecting like terms:
-4r-2x+7r-x
3r-3x
Factorise this expression by taking out the highest common
4y-12
4(y-3)
Solve this equation
28-5x=8
x=4
Solve these simultaneous equations
4x+3y=-1 and 3x-3y=15
x=2, y=-3
Factorise this expression
10x-25y
5(2x-5y)
Simplify by expanding and then collecting like terms:
4(3r-5)-6r+2
6r-18
Factorise this expression
m^2+6m
m(m+6)
Solve this equation:
4x-7=2x+11
x=9
Solve these simultaneous equations
-2x+3y=14 and -5x+3y=26
x=-4, y=2
Expand the brackets and collect like terms
6(m-3)-2(2m+1)
2m-20
Simplify by expanding and then collecting like terms:
5m(2e-m)-3e(m+e)
7em-5m^2-3e^2
Fully factorise this expression (all factors)
6y^2-21y
3y(2y-7)
Solve this equation
5-3x=7-8x
x=2/5 or 0.4
Solve these simultaneous equations
3y-2x=-1 and 4y+x=17
x=5, y=3
Solve this equation
(3(5-2x))/2=-6
x=9/2 or 4.5