Page 135 - Algebra 1

L E S S O N Solving One-Step Equations by
21
Multiplying or Dividing
Warm Up
1. Vocabulary In the equation 5x = 10, x is the . (variable,
(2)
coefficient)
2. Multiply _4 and _1 . Give the answer in simplest form.
(11) 5 2
3. Divide _3 by _1 . Give the answer in simplest form.
(11) 4 2
4. Evaluate 8n + 2 for n = 0.5.
(9)
5. Multiple Choice Which is the solution? (19)
5+x=7 A 12
B 7 C5 D2
New Concepts To find the solution of an equation, isolate the variable by using
inverse operations. You must use the same inverse operation on each side
of the equation.
Inverse Operations Add Subtract
Multiply Divide
Math Language
An inverse operation undoes another operation.
Multiplication and Division Properties of Equality
Multiplication Property of Equality
Both sides of an equation can be multiplied by the same number, and the statement will still be true.
Examples 2=2 a=b 3·2=3·2 a·c=b·c
6 = 6 ac = bc
Division Property of Equality
Both sides of an equation can be divided by the same number, and the statement will still be true.
Examples 10=10 a=b __ __
10 = 10 a = b (c ≠ 0) 22 cc
5=5
Online Connection www.SaxonMathResources.com
120 Saxon Algebra 1