One-Step Equations
4 = -8 + x
x= 12
6x – 13 = 11
x= 4
Solving Equations
4x + 3 = 7
x = 1
2b = b + 12
b = 12
What are the 4 Basic Operations?
Add, Subtract, Multiply and Divide
x + 12 = 0
x= -12
3x + 5 = 14
x= 3
Solving Equations
4 + 5x = 29
x = 5
5c = 20 + c
c = 5
In order to solve an equation what must you do to both sides of the equation?
The inverse or opposite operation
3 = -2 – x
x= -5
x/2 + 13 =-8
x= -42
Solving Equations
-45 = x + 4
x = -49
a + 5 = 2a - 4
a = 9
What is the first step when solving an equation with variables on both sides?
Add or subtract the smaller term with a variables
5x = -80
x= -16
x/2 + 5 =10
x= 10
Solving Equations
14 = (3a + 6) + 2
a=2
4y−5=2y+9
y = 7
What is the first step when solving an equation with brackets?
Expand the brackets (distributive law)
-16 = x+2
x= -18
x/3 - 6 = -3
x= 9
Solving Equations
-21 = 7(5k - 8)
k = 1
5z+8 = 2z+20
z = 4
Write an equation for this expression and find the value of x:
Doubling x and adding 3 is the same as tripling x and adding 1
2x + 3 = 3x + 1