Chapter 22.1: Solving One Step Equations

Properties/DefinitionsAddition Property of Equality: For every real

number, a, b & c, if a=b, then a + c = b + c

Subtraction Property of Equality: For every real number, a, b & c, if a=b, then a – c = b – c

To solve an equation, we find the value(s) of the variable to make the equation true. This value(s) is called a solution of the equation. We solve equations by using inverse operations, or operations that undo one another.

ExamplesSolve the following equations

x – 3 = 8

m – 10 = 2

y – 7.6 = 4

Examples cont.

-18 = 6 + w

2/3 + y = 1/4

15 a + 4.2

Examples cont.If a mom who weighs 129 lbs stands on scale

with her baby and the scale says 147, how much does the baby weigh?

PropertiesMultiplication Property of Equality: For every real

number, a, b & c, if a=b, then a∙c = b∙c

Division Property of Equality: For every real number, a, b & c, if a = b, then a/c = b/c

Examples

Examples cont.3a = -18

-2b = 14

Examples cont.

Assignmentp. 77

2-40 evens