One-Step Equations
4 = -8 + x
x= 12
6x β 13 = 11
x= 4
Is y = 3 a solution to the equation:
8 + -4y = 5y - 1 ?
Show work and answer yes or no.
No
-4 is not equal to 14
Solving Equations
x - 2 = 6
x = 8
Define variable in terms of math
A letter that represents a value (number) that we donβt know
What are the 4 Basic Operations?
Add, Subtract, Multiply and Divide
x + 12 = 0
x= -12
3x + 5 = 14
x= 3
Is 7 a solution for this equation
4 + 5x = 3x + 8
Yes
39 = 39
Solving Equations
-5p + 1 = 6
p = -1
Define constant in terms of math.
A constant is the number in the equation with no variable (letter)
In order to solve an equation what must you do to the operation to collect like terms?
The inverse or opposite
3 = -2 β x
x= -5
x/2 + 13 =-8
x= -42
Is x = 13 a solution
26 - 3x = 2x - 13
No
-13 does not equal 13
Solving Equations
2n+10 = 14
n = 2
Define the word coefficient
The number that is joined together with a variable
5x = -80
x= -16
x/2 + 5 =10
x= 10
If Lara babysits her neighbor's baby for some hours and charges $12 per hour. How much will she earn if she babysits for 6 hours?
She will earn $72.
Solving Equations
5(m-3) = 4
m = 19/5
What is the inverse (opposite) operation of addition?
What is the inverse (opposite) operation of division?
Subtraction
Multiplication
-16 = x+2
x= -18
x/3 - 6 = -3
x= 9
Ivan gave some bags of popcorn to three of his friends. He is also gave each of them a 2 Jolly Ranchers. Ivan gave each of his friends 3 bags of popcorn.
Write an expression for this and solve.
3p + 2
3(3) + 2 = 11
Solving Equations
3(π₯ β 9) = β3
x = 8
What rule is ALWAYS applied when solving equations?
Whatever you do to one side, you have to do to the other side.
When solving something like 3(x -2) = 12
what step do you do first?
Expand the brackets