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Essential Questions:How can I determine if given value(s) provide solution(s) to an equation or
inequality?
Unit 3: Equations and InequalitiesPart 2: Identifying Solutions to Equations and Inequalities
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Testing Connection
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1) What do these signs mean?
2) What number(s) can you replace the '?' with?
Warmup
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If which of the following statements would be true?
a) b) c)
d) e)
f) g) h)
Partner/Group Activity• Decide who goes first.• Write statement on your group's whiteboard.• Explain whether or not that particular statement is true or false when w = 1• Ask your group members if they agree or disagree with you.• Discuss the problem until you all come to an agreement.• Record your decision. Be prepared to share your group's thoughts with the class. • Give the whiteboard to another group member.• Repeat this process until you are finished with all eight statements below.
a)
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If which of the following would be true?
a) b) c)
d) e)
f) g) h)
1 + 2 3 3 3
TRUE
1 + 2 3 3 3
FALSE
1 + 2 3 3 3
TRUE
1 + 2 3 3 3
TRUE
1 + 2 3 3 3
FALSE
1 + 2 4 3 4
FALSE
1 + 2 4 3 4
TRUE
1 + 2 4 3 4
FALSE
3 is greater than 33 is equal to 3 3 is greater than OR equal to 3
3 is less than OR equal to 3 3 is less than 3
3 is equal to 4 3 is less than 4 3 is greater than 4
SOLUTIONS/EXPLANATION
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Solutions to Equations and Inequalities
Solution the value or values that make an equation or inequality true
To determine if a given value is a solution: 1. Substitute the given value into the equation or inequality
2. Simplify the expression on either side of the equation or inequality
3. Determine if the simplified expressions satisfy the equal sign or inequality symbol
Is a solution to ?
>
>
NOTE: the >,<, or = sign separates the 2 sides (2 expressions)
>
a solution?Is
30 is greater than 26
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Is a solution to the following equations and inequalities?
Yes
No
Yes
Yes
Yes No
No Yes
Yes No
Click each star to revealthe answers!
Try some on your own!
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Independent Practice
Holt Course I Lesson 23
click on the globe below to be directed to the online textbookhttp://my.hrw.com
Or choose Practice A "I don't get this yet" Practice B "I get it but definitely need some practice" Practice C "I totally get it and I'm ready for a challenge!" available on the next few slides (and also as PDFs on CMAPP)
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Available in Word.doc formaton CMAPP Days 25-26Supplemental Materials
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Answer Key
YES NO NO
YES YES YES
NO YES NO
NO YES YES
YES YES NO
17=17 14=16 63=62
10<12 57=57 39=39
35=36 21<24 32< 6
63<63 14>8 25=25
63< 63 60>60 11=6
14>8
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Available in Word.doc formaton CMAPP Days 25-26Supplemental Materials
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YES NO
YES
22=22 11=12
38>23 35>32
32>32 47<50
YES
NO YES
{3}{3,4,5}
{5}{2,4}
{5,6,9}no solution shown
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Challenge: Write your own!
• Write 3 or 4 equations or inequalities. • Give a set of possible solutions.• Have a partner determine which values provide solutions to your equations or inequalities!
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NameDatePd
Problems Answers
1
2
3 3
4 4
5 5
2
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Unit3 Part2 Quiz
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7 7
8 8
9 9
10 10
For problems 15, determine if the given value is a solution. Write 'yes' or 'no'.
For problems 610, determine which value(s) from the set provide solution(s) to the inequality.
Identifying Solutions to Equations & Inequalities
Available in Word.doc formaton CMAPP Days 25-26Supplemental Materials
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____________QuizNameDatePd
Problems Answers
1
2
3 3
4 4
5 5
2
1
Unit3 Part2
6 6
7 7
8 8
9 9
10 10
For problems 15, determine if the given value is a solution. Write 'yes' or 'no'.
For problems 610, determine which value(s) from the set provide solution(s) to the inequality.
YES
NO
YES
YES
NO
{1,3}
{16}
{6}
{3,4,5}
{2}
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Reteaching
http://www.phschool.com/atschool/academy123/english/academy123_content/wlbookdemo/ph011s.html Checking Equation Solutions Video - Pearson Online
Holt Lesson 23 Reteaching
Gallery Walk (available on CMAPP)
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Enrichment
Unit 3 Problem Solving Challenge (available on CMAPP)
Holt 23 Practice C (available in this file and on CMAPP)
