Transcript Lesson 1.3 Solving Equations

Lesson 1.3 Solving Equations
Objectives
• Translate verbal expressions into algebraic
expressions and equations, and vice versa
• Solve equations using the properties of
equality
Vocab.
• Open Sentence - ____
• Equation - _____
• Solution - _____
• A. – a mathematical sentence stating that two
mathematical expressions are equal
• B. – the replacement that results in a true
sentence
• C. – a mathematical sentence containing one or
more variables
Write an algebraic expression to represent each verbal expression.
a.)
7 less than a number
b.)
the square of a number decreased by the product of 5 and a
number
Write a verbal sentence to represent each equation.
a.)
b.)
6  5  x
7 y  2  19
Properties of Equality
Property
Reflexive
Symmetric
Transitive
Substitution
Symbols
Examples
Name the property illustrated by each statement.
a.)
c.)
8x  3  12  8x  3  12
If t  13  52, then 52  t  3.
b.) If a  3 and  3  d , then a  d .
Addition and Subtraction Property
of Equality
Multiplication and Division
Properties of Equality
Quick Check
• Solve One-Step Equation
m  5.48  0.02
1
18  t
2
• Solve a Multi-Step Equation
53  3  y  2  2 3 y 1
• Solve for a Variable
The formula for the surface area S of a cone is
2 , where l is the slant height of the cone and r is the radius
S   rl   r
of the base. Solve the formula for l.
Homework
• Page 22 and 23  23 – 59 every other
odd
• Make sure to read and take notes for
Section 1.4 Solving Absolute Value
Equations
• The Mid-Chapter Quiz on Page 26 is a
good review.