1. One step equations
Chapter 2
Section 2.1

2. Objective
Students will solve equations using addition, subtraction, multiplication, and division.

3. concept Addition Property of Equality
If a, b, and c are any real numbers, and a=b, then
a + c = b + c and c + a = c + b
If the same number is added to equal numbers, the sums are equal

4. concept Subtraction Property of Equality
If a, b, and c are any real numbers, and a=b, then
a – c = b – c
If the same number is subtracted from equal numbers, the differences are equal

5. concept Multiplication Property of Equality
If a, b, and c are any real numbers, and a=b, then
ca=cb and ac = bc
If equal numbers are multiplied by the same number, the products are equal

6. concept Division Property of Equality
If a and b are any real numbers, c is any nonzero real number, and a=b, then
a = b
c c
If equal numbers are divided by the same nonzero number, the quotients are equal

7. concept
These properties give you ways to transform an equation into an equivalent equation.
An equivalent equation is an equation having the same solution set over a given domain.
x – 8 = and x = 25

8. concept
It is often possible to change, or transform, an equation into a simpler equivalent equation by using addition, subtraction, multiplication, and division properties. The goal is to obtain a simpler equation whose solution or solutions can be easily seen.

9. concept Transformation by Addition
Add the same real number to each side of a given equation
Transformation by Subtraction
Subtract the same real number from each side of a given equation

10. concept Transformation by Multiplication
Multiply each side of a given equation by the same nonzero real number
Transformation by Division
Divide each side of a given equation by the same nonzero real number

11. example
x + 5 = 9
x – 2 = 7

12. example
-5 = x + 13
-8 + x = -8

13. example
6x = 222
8 = -2/3x

14. example
x/3 = -5
1/4x = 6 ¼

15. questions

16. assignment
Worksheet