Download 1.4 two step equations ink.notebook

1.4 two step equations ink.notebook
August 29, 2016
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1.4 Two-Step
Equations and
Inequalities
Lesson Objectives
Standards
Standards
Lesson Notes
1.4 Solving Two Step Equations & Inequalities
N.Q.3 I will use inequality rules and their meaning to get appropriate answers A.CED.1 I will create an equation from a word problem and use it to solve for the missing information A.CED.1 I will create an inequality from a word problem and use it to solve for the missing information A.CED.3 I will understand that when solving equations derived from a story problems that many answers cannot have a negative solution A.CED.3 I will understand all the possible solutions to an inequality problem
A.REI.1 I will explain each step in solving a two­step equation
A.REI.3 I will solve a linear 2­step equation
A.REI.3 I will solve a linear 2­step inequality
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1.4 two step equations ink.notebook
Lesson Objectives
Standards
August 29, 2016
Lesson Notes
A.CED.1 Create equations and inequalities in one variable and use them to solve problems.
A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Solving 2 Step Equations
1. Goal is to get the letter by itself.
Which side is the variable on?
2. On the variable side, which number is by itself?
Move that number first by using INVERSE
operations.
3. On the variable side, Move the remaining number
by using INVERSE operations.
4. You MUST SHOW ALL WORK to get full credit.
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Solve each equation by showing all work.
1.
9 + 10p = 49
2.
36 < 8 – 7y
Review the Steps to solving a Two­Step Equation
3.
4.
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1.4 two step equations ink.notebook
August 29, 2016
5. 5x + 3 < –12
6.
On Your
Whiteboards
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1.4 two step equations ink.notebook
a) –15 – 5n = 15
b)
August 29, 2016
c)
Circle Billy‛s mistake and then redo the work to find the correct answer.
30 – x > 28
Corrections
30 – x > 28
-30
-30
x > – 2
On the
Worksheet
Homework
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1.4 two step equations ink.notebook
Solve each equation by showing all work.
1. –2x + 7 < 23
5. 12n ­ 19 > ­4
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3.
4.
2. ­25 = 3x ­ 1 6.
Solve each equation or inequality by showing all work.
7.
8. 6 = 4x – 6
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1.4 two step equations ink.notebook
Solve each equation by showing all work.
9. –3x + 5 < –7
13. –2 = 13 – x
August 29, 2016
11.
12.
10. 8r ­ 29 < ­29
15. 0.1x – 2 = –2.4
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1.4 two step equations ink.notebook
16.
19.Circle
17.
Billy‛s mistake and then redo the work to find the correct answer.
Corrections
August 29, 2016
18. 9 – 4x = 21
20. If , how would you get x by itself? Show the steps and write the explanation on the right.
Solution step
+10
+10
Explanation
___________________________________
___________________________________
___________________________________
-5
-5
___________________________________
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1.4 two step equations ink.notebook
August 29, 2016
Answers: 1. x > –8 3. x = 18 5. n > 1.25 7. x = –18 9. x > 4 11. x = 46 12. c < –12 13. x = 15 15. x = –4 17. x = 9 19. –23, x = 0.6
11.
12.
45 46 47
–
13 –12 –11
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