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Solving Equations Involving Fractions...

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MPM1DI- Unit 5: Equations-Lesson 5 Date:____________________ Solving Equations Involving Fractions Continued Recall: Clear all fractions by multiplying everything on both sides of the equation by the lowest common denominator. Ex. 1. Solve each equation. a) x x 2 1 2 7 4 3 b) 3 7 2 4 5 y y c) 1 7 2 3 3 x x d) 3 2 6 5 2 3 2 x x Ex. 2. Solve and check. 7 3 4 4 2 3 m m Check
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Page 1: Solving Equations Involving Fractions Continuedgreerkci.weebly.com/uploads/1/2/0/4/12041258/mpm1... · MPM1DI- Unit 5: Equations-Lesson 5 Date:_____ Solving Equations Involving Fractions

MPM1DI- Unit 5: Equations-Lesson 5 Date:____________________

Solving Equations Involving Fractions Continued

Recall: Clear all fractions by multiplying everything on both sides of the equation by the lowest common denominator.

Ex. 1. Solve each equation.

a) xx2127

43

� b) 3

724

5 �

� yy

c) 17

23

3

��

� xx d) � � � � 32652

32

��� xx

Ex. 2. Solve and check.

73

442

3�

� �

� mm Check

Page 2: Solving Equations Involving Fractions Continuedgreerkci.weebly.com/uploads/1/2/0/4/12041258/mpm1... · MPM1DI- Unit 5: Equations-Lesson 5 Date:_____ Solving Equations Involving Fractions

Ex. 3. Given the formula to convert Fahrenheit temperatures to Celsius is � �3295

� FC , convert:

a) F$95 to C$ b) C$20 to F$ Ex. 4. Write an equation in terms of one variable to model the situation below and solve. One half of a certain even integer plus one fifth of the next consecutive even integer equals 48. Find the two integers.

Let ____ represent a certain even integer and let ________ represent the next consecutive even integer.

HW: p. 211 #12cde (check e), 14d; p. 222 #12f; p. 250 #7, 9; WS #2

Page 3: Solving Equations Involving Fractions Continuedgreerkci.weebly.com/uploads/1/2/0/4/12041258/mpm1... · MPM1DI- Unit 5: Equations-Lesson 5 Date:_____ Solving Equations Involving Fractions

MPM1DI- Unit 5: Equations-Lesson 6 Date:____________________

Word Problems

Refer to WS #3 and complete.

1. 47)9(4 � � xx 2. A. trianglesquare PerimeterPerimeter B. If x = ____, Perimeter =

3. Let n represent the ________________________________________ for both companies to charge the same amount.

A. $$ inCompanyPlane

PlasticforrgeChainCompanyPlane

PlatinumforrgeCha B. If n = ______ ,

Charge = 4. Let t represent the time it takes for the balloons to be at the same elevation in __________________.

A. ftinballoon

descendingofElevationftinballoon

ingrisofElevation B. If t = ______ ,

Elevation =

Page 4: Solving Equations Involving Fractions Continuedgreerkci.weebly.com/uploads/1/2/0/4/12041258/mpm1... · MPM1DI- Unit 5: Equations-Lesson 5 Date:_____ Solving Equations Involving Fractions

5. Let t represent ______________________________________________________________________

A. FinFrostberg

ineTemperaturFinColdspotineTemperatur

$$ B. If t = ______ ,

Temperature =

6. Let n represent ______________________________________________________________________

A. Total cost in $ = Income from sales in $ B. If n = ______ ,

Income =

7. Let t represent ______________________________________________________________________

A. __________ �ftinruns

JulietnceDistaftinruns

RomeonceDista B. If t = ______ ,

Distance Romeo runs =

HW: Complete WS #4 on lined paper. Good solutions are required with “let” statements and “concluding” statements.

Page 5: Solving Equations Involving Fractions Continuedgreerkci.weebly.com/uploads/1/2/0/4/12041258/mpm1... · MPM1DI- Unit 5: Equations-Lesson 5 Date:_____ Solving Equations Involving Fractions

MPM1DI- Unit 5: Equations-Review Date:____________________

Review for Unit 5 Test

1. Becky works part-time at a clothing store. She earns $80 per week plus 6% of the value of her weekly sales. This week she earns $119. What is the total value of her weekly sales? (Answer: $650) 2. The two equal sides of an isosceles triangle are 2 cm shorter than the longest side. If the perimeter of the triangle is 83 cm, find the three side lengths of the triangle. (Answer: 29 cm, 27 cm, 27 cm)

3. Solve. (Answer: a) 12112 x ; b)

329 x )

a) 5])3(42[312 ��� x b) � � � � 05652

31

��� xx

4. Solve and check. (Use the reverse of this page to show your work.) (Answer: 3 y )

� � � �yy 24123271510

53

�� ��

HW: p. 228 #3ace, 5, 6c, 7ab; p. 210 #3ab, 7bd, 9

Page 6: Solving Equations Involving Fractions Continuedgreerkci.weebly.com/uploads/1/2/0/4/12041258/mpm1... · MPM1DI- Unit 5: Equations-Lesson 5 Date:_____ Solving Equations Involving Fractions

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