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Lesson 1-5 Pages 28-32. Variables and Equations. What you will learn!. How to identify and solve open sentences. How to translate verbal sentences into equations. Vocabulary. What you really need to know!. An equation that contains a variable is called an open sentence. - PowerPoint PPT Presentation
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Lesson 1-5 Pages 28-32
Variables and Equations
What you will learn!1. How to identify and solve open sentences.
2. How to translate verbal sentences into equations.
EquationEquation
Open sentenceOpen sentence
SolutionSolution
Solving the equationSolving the equation
What you really need to know!
An equation that contains a variable is called an open sentence.
A value that makes the sentence true is called a solution.
SymmetricSymmetric If one quantity equals a If one quantity equals a second quantity, then second quantity, then the second quantity also the second quantity also equals the first.equals the first.
TransitiveTransitive If one quantity equals a If one quantity equals a second quantity and the second quantity and the second quantity equals second quantity equals a third quantity, then the a third quantity, then the first equals the third.first equals the third.
Properties of Equality:
Balance Example!
Example 1:
Find the solution of:
44 + p = 53.
Is it 11, 9, or 7?
p is 9 ; p = 9
Example 2:
Which value is the solution of
4x – 1 = 11?
A 5 B 4 C 3 D 2
C 3
Example 3:
Solve the equation mentally.
7x = 56
x = 8
Example 4:
Solve the equation mentally.
x – 15 = 40
x = 55
Example 5:
Name the property shown by the statement.
If 3x + 1 = 10, then 10 = 3x + 1.
Symmetric
Example 6:
Name the property shown by the statement.
If z + 6 = 8 and 8 = 2 + 6,
the z + 6 = 2 + 6.
Transitive
Example 7:
Define a variable. Then write an equation and solve.
The quotient of a number and four is nine.
n = 36n ÷ 4 = 9
Page 30
Guided Practice
#’s 3-13Link to Pre-Made Lesson
Pages 28-30 with someone at home
and study examples!
Read:
Homework: Pages 31-32
14-46 even
48-51, 54-55,
58-59, 61-73Lesson Check 1-5
Page
725
Lesson 1-5
Lesson Check 1-5