This document defines terms used in solving one-step equations such as terms, constants, and coefficients. It provides examples of solving equations by adding, subtracting, multiplying, or dividing terms on both sides of the equation to isolate the variable. The goal is to "undo" the operation on one side by performing the opposite operation on both sides. Homework is then assigned to have students practice solving one-step equations showing their work.

1. Solving One-Step Equations
Created by S. Koch - 2003

2. Definitions
Term: a number, variable or the
product or quotient of a number and a
variable.
12 X 2w c
3
Created by S. Koch - 2003

3. Terms are separated by addition (+) or
subtraction (-) signs.
3a – 2/5b + 7x – 4z + 52
How many Terms do you see?
5
Created by S. Koch - 2003

4. Definitions
Constant: a term that is a number
only.
Coefficient: the number value in
front of a variable in a term.
Created by S. Koch - 2003

5. 3x – 6y + 18 = 0
What are your coefficients? 3 , -6
What is your constant? 18
Created by S. Koch - 2003

6. Solving one-step equations:
A one-step equation means you only have
to perform 1 mathematical operation to
solve it.
You can add, subtract, multiply or divide
to solve a one-step equation.
Created by S. Koch - 2003

7. Example 1
Solving an addition equation:
t + 7 = 21
Get rid of the 7 by adding its opposite to both sides of
the equation.
t + 7 = 21
-7 -7
t = 14
Created by S. Koch - 2003

8. Example 2
Solving a subtraction equation:
g – 6 = 40
Get rid of the 6 by adding its opposite to both sides of
the equation.
g – 6 = 40
+6 +6
g = 46
Created by S. Koch - 2003

9. Example 3
Solving a multiplication equation:
8n = 32
Get rid of the 8 by dividing both sides of the equation
by 8. Here we “undo” multiplication by doing the
opposite – division.
8n = 32
8 8
n=4
Created by S. Koch - 2003

10. Example 4
Solving a division equation:
k / 9 = 11
Get rid of the 9 by multiplying both sides of the
equation by 9. Here we “undo” division by doing the
opposite – multiplication.
k / 9 = 11
x9 x9
k = 99
Created by S. Koch - 2003

11. Homework
Use your notes and show ALL steps.
Created by S. Koch - 2003