Name: _________________________________
Date: ___________________
Day 3.8: Solving Two-Step Equations
Entrance Task:
Find a number for 𝑥 that makes the following statement true, using any method
you can think of.
4𝑥 + 33 = 49
Notes:
There is another way to solve multiplication and division one-step equations rather
than using multiplicative inverses:
We can use ____________ ______________.
The inverse operation of multiplication is _______________.
The inverse operation of division is __________________.
Examples:
𝑦
7𝑥 = 42
4
= 12
A constant is a ________________ without a ___________________ attached.
8 − 4𝑥
Which is the constant?
Solving Two-Step Equations:
To solve a two-step equation,
1. Undo the constant
a. Change any subtraction into addition using KCF
b. Add the additive inverse of the constant to both sides.
2. Undo any multiplication or division.
3. Circle your answer and CHECK!
Solve and Check:
1.) 3𝑥 + 4 = 10
2.)
𝑥
5
− 11 = 4
3.) 6 = 18 − 4𝑥
CHECKS
4.) 2𝑥 + 8 = 26
𝑥
5.) 10 + = 7
5
6.)
1
3
𝑥 + 6 = −4
CHECKS
Homework Day 3.8
CHECK: