one & two step equations

1. Solving Equations

2. Definitions
Term: a number, variable or the
product or quotient of a number and a
variable.
12 X 2w c
3

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

4. Definitions
Constant: a term that is a number.
Coefficient: the number value in
front of a variable in a term.

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

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.

7. 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
Example 1

8. 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
Example 2

9. 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
Example 3

10. 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
x 9 x 9
k = 99
Example 4

11. Practice with one step
Solve for the variable:
2x = 4
x/3 = 5
x – 3 = 7
4 + x = 2
Created by S. Koch - 2003

12. One step answers
2x = 4, x = 2
x/3 = 5, x = 15
x – 3 = 7, x = 10
4 + x = 2, x = -2
Created by S. Koch - 2003

13. Solving Two Step Equations

15. Practice with two step
Solve for the variable:
1. 2x + 1 = 4
2. X – 2 = 3 + 3
3. X + 2x = 6
4. -x + 4 = 10

16. Two step answers
1. X = 3/2
2. X = 8
3. X = 2
4. X = -6