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) 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
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
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. $$ inCompanyPlane
PlasticforrgeChainCompanyPlane
PlatinumforrgeCha B. If n = ______ ,
Charge = 4. Let t represent the time it takes for the balloons to be at the same elevation in __________________.
A. ftinballoon
descendingofElevationftinballoon
ingrisofElevation B. If t = ______ ,
Elevation =
5. Let t represent ______________________________________________________________________
A. FinFrostberg
ineTemperaturFinColdspotineTemperatur
$$ 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.
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
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