Transcript ppt - planethesser

Use the work backward strategy to solve Exercises 1–3.
1. Miguel spent $6 on fast food. Then he spent $3 on ice cream. After
buying some comic books, he had $9 left, which was one third of
what he originally had. How much money did Miguel have
originally?
2. Curtis paid $80 on the vet bill for his dog. Then the vet charged him
$40 more for his dog’s medicine. If he now owes the vet $120, what
was his starting balance?
3. A number is divided by 3. Then 5 is added to the quotient. After
subtracting 2, the result is 10. What is the number?
Course 2, Lesson 6-6
ANSWERS
1. $27
2. $160
3. 21
Course 2, Lesson 6-6
Expressions and Equations
WHAT does it mean to say
two quantities are equal?
Course 2, Lesson 6-6
Expressions and Equations
To solve inequalities using:
• The Addition Property of Inequality
• The Subtraction Property of Inequality
Course 2, Lesson 6-6
Expressions and Equations
• Subtraction Property of Inequality
• Addition Property of Inequality
• inequality
Course 2, Lesson 6-6
Expressions and Equations
Words
You can solve inequalities by using the Addition Property
of Inequalities and the Subtraction Property of
Inequalities . When you add or subtract the same number
from each side of an inequality, the inequality remains true.
Symbols
For all numbers a, b, and c,
1. If a > b, then a + c > b + c and a – c > b – c.
2. If a < b, then a + c < b + c and a – c < b – c.
Examples
2 <
4
6 >
5 <
7
2 > –1
Course 2, Lesson 6-6
3
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
Course 2, Lesson 6-6
Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Expressions and Equations
How did what you learned
today help you answer the
WHAT does it mean to say
two quantities are equal?
Course 2 Lesson 6-6
Expressions and Equations
How did what you learned
today help you answer the
WHAT does it mean to say
two quantities are equal?
Sample answers:
• To understand the difference between an equation and
an inequality
• To solve inequalities using the Addition and
Subtraction Properties of Inequality
• To write inequalities to represent real-world situations
Course 2 Lesson 6-6
Ratios andExpressions
Proportionaland
Relationships
Equations
Which graph shows x + 5 < 12?
Course 2 Lesson 6-6