Bellringer
Solve for x.
1. x – 13 = 17
2. -5 + z = 21
3. 8a = 7
3
4. 𝑦
5
=
1
2
3-3 Using the Properties
Together
Solving equations using addition, subtraction,
multiplication, and division.
Use Opposites!!
When solving equations you undo an
operation (+, -, ÷, x) by using its opposite.
 Addition (+) OPPOSITE subtraction (-)
 Multiplication (x) OPPOSITE division (÷)


You can always check your answer to see
if you are right!!!!
Solving two-step equations
Goal: Get your variables no one side of
the equal sign and the numbers on the
other side of the equal sign.
 Simplify using the inverse of addition or
subtraction.
 Simplify using the inverse of multiplication
or division.

Examples!!

1. Solve for x
3𝑥 + 4 = 13
Check:

2. Solve for y
−5𝑦 + 6 = 16
Check:

3. Solve for x
6𝑥 + 2𝑥 = 15
Check:

4. Solve for y
2 2𝑦 + 3 = 14
Check:
Practice: Solve each equation.
1. 9𝑥 + 6 = 51
2. −8𝑦 − 4 = 28
3. 4𝑐 + 3𝑐 = 21
4. 9𝑥 − 4𝑥 = 20
5. 9 = 3(𝑥 + 6)
6. 3𝑎 + 5 𝑎 − 2 = 6
Ticket Out the Door
Solve for x.
 5x – 25 = 50
Homework
Pg. 127-128
1-10 EVEN, 16-26 EVEN, 28-40 EVEN
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