One-Step Equations

1. SECTION 3-2
One-Step Equations

2. Essential Questions
How do you solve one-step equations?
How do you solve formulas for a given variable?
Where you’ll see this:
Physics, packaging, financex

3. Vocabulary
1. Addition Property of Equality:
2. Multiplication Property of Equality:

4. Vocabulary
1. Addition Property of Equality: If a = b, then a + c = b + c
and c + a = c + b.
2. Multiplication Property of Equality:

5. Vocabulary
1. Addition Property of Equality: If a = b, then a + c = b + c
and c + a = c + b.
2. Multiplication Property of Equality: If a = b, then ac = bc
and ca = cb.

6. Example 1
Solve the equation and check the solution.
3
a. x + = 7 b. x − 3 =12
4

7. Example 1
Solve the equation and check the solution.
3
a. x + = 7 b. x − 3 =12
4
3 3
− −
4 4

8. Example 1
Solve the equation and check the solution.
3
a. x + = 7 b. x − 3 =12
4
3 3
− −
4 4
25
x=
4

9. Example 1
Solve the equation and check the solution.
3
a. x + = 7 b. x − 3 =12
4 +3 +3
3 3
− −
4 4
25
x=
4

10. Example 1
Solve the equation and check the solution.
3
a. x + = 7 b. x − 3 =12
4 +3 +3
3 3
− − x =15
4 4
25
x=
4

11. Example 1
Solve the equation and check the solution.
t
c. 16f = 80 d. = 8
6

12. Example 1
Solve the equation and check the solution.
t
c. 16f = 80 d. = 8
16 16 6

13. Example 1
Solve the equation and check the solution.
t
c. 16f = 80 d. = 8
16 16 6
f =5

14. Example 1
Solve the equation and check the solution.
t
c. 16f = 80 d. = 8
16 16 6
t
(6) = 8(6)
f =5 6

15. Example 1
Solve the equation and check the solution.
t
c. 16f = 80 d. = 8
16 16 6
t
(6) = 8(6)
f =5 6
t = 48

16. General Rule for Solving One-
Step Equations

17. General Rule for Solving One-
Step Equations
Identify what is happening to the variable, then do
the opposite operation

18. Homework

19. Homework
p. 110 #1-41 odd
“If you have made mistakes, even serious ones, there is
always another chance for you. What we call failure is not
the falling down but the staying down.” - Mary Pickford