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Solving Two Step Equations. Calandra Bean-Presenter July 4, 2005. Click here to continue. WELCOME!. Math is used in everyday life activities consciously and unconsciously.

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Solving two step equations l.jpg

Solving Two Step Equations

Calandra Bean-Presenter

July 4, 2005

Click here to continue


Welcome l.jpg
WELCOME!

Math is used in everyday life activities consciously and unconsciously.

Objective: The learner will solve two step equations using the addition, subtraction, multiplication, and division properties of equality.

This presentation will guide you through the steps of solving two step equations, take you through some practice questions, and provide you with real life experiences where they are used.

Instruction

PracticeProblems

Challenging Practice Problems

Real World Situations

Supplemental Activities

Resources


Instruction l.jpg
Instruction

Algebra

It takes two steps to solve an equation that has more than one operation.

  • Simplify by using the addition or subtraction property of equality. (use the inverse of addition or subtraction)

  • Simplify further by using the multiplication or division property of equality. (use the inverse of multiplication or division)

    Consider the problem:

    2x-15=5

    Click here to show the steps

Solve

InstructionPractice ProblemsChallenging Practice Problems

Real World SituationsSupplemental ActivitiesResources


Practice problems l.jpg
Practice Problems

Practice these problems on your own and then click on each individual problem to view the steps and the correct answer.

  • 11n + 1 = 67

  • -2y + 4 = 8

  • 5x – 2 = 3

InstructionPractice ProblemsChallenging Practice Problems

Real World SituationsSupplemental ActivitiesResources


Challenging practice problems l.jpg
Challenging Practice Problems

Practice these problems on your own and then click on each individual problem to view the steps and the correct answer.

  • 6 – 3y = -3

  • 7 = 4 – 2y

  • 3/2 = 5/2 + 7x

InstructionPractice ProblemsChallenging Practice Problems

Real World SituationsSupplemental ActivitiesResources


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Real World Situations

Practice these word problems on your own, then click solve to see the solutions.

There are 26 students in Ms. Bean's class. The number of boys is equal to seven fewer than twice the number of girls. How many boys and how many girls are in the class? Solve

You are ordering tulip bulbs from a flowering catalog. The cost is .75 cents per bulb. You have $14 to spend. If the shipping cost is $3 for any size order, determine the number of bulbs you can order. Solve

InstructionPractice ProblemsChallenging Practice Problems

Real World SituationsSupplemental ActivitiesResources


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Supplemental Activities

Click on the following websites for additional activities involving two step equations.

  • http://www.phschool.com/iText/math/sample_chapter/Ch02/02-02/PH_Alg1_ch02-02_Gizmo.html

  • http://www.learningwave.com/lwonline/algebra_section1/twostep.html

  • http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=274

  • http://www.mathguide.com/lessons/Equations.html

InstructionPractice ProblemsChallenging Practice Problems

Real World SituationsSupplemental ActivitiesResources


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Resources

Math.com. (2000-2005). Retrieved June 27, 2005 from http://www.math.com/school/subject2/lessons/S2U3L6GL.html

Prentice Hall School. (2005). Chapter 2 Solving Equations, Lesson 2. Retrieved

June 27, 2005 from http://www.phschool.com/iText/math/sample_chapter/Ch02/02-02/PH_Alg1_ch02-02_Obj1.html

InstructionPractice ProblemsChallenging Practice Problems

Real World SituationsSupplemental ActivitiesResources

End Show


Steps l.jpg
Steps

2x – 15 = 5

+15 +15 Addition Property of Equality

2x = 20Division Property of Equality

2 2

x = 10


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Steps

11n + 1 = 67

- 1 - 1 Subtraction Property of Equality

11n = 66Division Property of Equality

11 11

n = 6


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Steps

-2y + 4 = 8

- 4 - 4 Subtraction Property of Equality

-2y = 4Division Property of Equality

-2 -2

y = -2


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Steps

5x – 2 = 3

+2 +2 Addition Property of Equality

5x = 5Division Property of Equality

5 5

x = 1


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Steps

6 – 3y = -3

-6 -6 Subtraction Property of Equality

-3y = -9Division Property of Equality

-3 -3

y = 3


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Steps

7 = 4 – 2y

-4 -4 Subtraction Property of Equality

3 = -2yDivision Property of Equality

-2 -2

-3/2 = y


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Steps

3/2 = 5/2 + 7x

-5/2 -5/2 Subtraction Property of Equality

-2/2 = 7x

-1 = 7xDivision Property of Equality

7 7

-1/7 = x


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Steps

x + 2x – 7 = 26 x is # of girls; 2x-7 is # of boys

3x – 7 = 26

+7 +7 Addition Property of Equality

3x = 33Division Property of Equality

3 3

x = 11

So there are 11 girls and 15 boys.


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Steps

.75b + 3 = 14

- 3 - 3 Addition Property of Equality

.75b = 11Division Property of Equality

.75 .75

b = 14.667

So you can purchase about 14 bulbs. If you purchase 15 bulbs you will go over your $14 budget.


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