Notes
Solving One-Step
Equations
QUICK! Use mental math (and a calculator) to help you figure out what numbers
belong in the blank.
1) ____+3 = 0
2) ____÷ 8 = 7
3) -3 ∙ ____ = 12
4) 22 - ____ = 18
5) ____+(-5) = -11
6) 28 ÷ ____ = -4
Unfortunately, not every problem will work out using guess and check. We have
to know how to do it using a method that works every time. Instead of blanks,
we will use ________________ to represent the unknown value.
BIG IDEA: To figure out the unknown variable, we must get the letter on one
side of the _____, and the answer on the other. To do this, we will use
_____________(opposite) operations.
**The inverse of _____ is _____
**The inverse of _____ is _____
**The inverse of _____ is _____
**The inverse of _____ is _____
Example 1 : 𝑥 + (−6) = −4
Example 2 : 𝑦 − 15 = −16
Example 3 : −5 =
𝑚
−2
Example 4 : −44 = −4𝑑
*To check your work, plug your answer back in to the problem and use PEMDAS!
You try! - Solve each equation, SHOWING ALL WORK NEEDED TO GET
YOUR ANSWER!!
1) −1 = 𝑐 − 6
3)
−3 =
𝑥
−8
2) −6𝑚 = −42
4) 𝑓 + (−2) = −22
5) −81 = 9𝑒
6)
7) 13 + 𝑢 = −13
8) 5 = 𝑔 − (−4)
9)
𝑛
3
= −27
𝑘
−11
= 11
10) −8 + 𝑏 = −20