Transcript 5.7 Solving Fraction Equations with Multiplication and Division

Solving Fraction Equations:
5-7 Multiplication and Division
Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
Solving Fraction Equations:
5-7 Multiplication and Division
Do Now
Solve.
1.
3.
2.
4.
Solving Fraction Equations:
5-7 Multiplication and Division
Objective
SWBAT solve equations by multiplying
both sides of the equation using the
multiplicative inverse.
Solving Fraction Equations:
5-7 Multiplication and Division
Remember!
Dividing by a number is the same as multiplying
by its reciprocal.
Solving Fraction Equations:
5-7 Multiplication and Division
Ex.1: Solving Equations by Multiplying and
Dividing
Solve each equation. Write the answer in simplest form.
3
__
j = 25
5
3
3
3
__
j ÷ __ = 25 ÷ __
5
5
5
Is being multiplied to j j
3
__
j•
5
5
5
__
__
= 25 •
3
3
5
j = 25 • __
3
25 • 5
j = _____
1•3
125
2
j = ___ or 41 __
3
3
So basically, all that we are doing is…
• Multiplying both sides by the
reciprocal of the fraction next to
the variable.
Solving Fraction Equations:
5-7 Multiplication and Division
Let’s Try This One Together
Solve each equation. Write the answer in simplest form.
• Multiply both sides by the
reciprocal of the fraction next
to the variable.
Solving Fraction Equations:
5-7 Multiplication and Division
TOYO 1
Solve each equation. Write the answer in simplest form.
3
__
j = 19
4
76
1
___
j=
, or 25 __
3
3
• Multiply both sides by the
reciprocal of the fraction next
to the variable.
Solving Fraction Equations:
5-7 Multiplication and Division
Ex. 2: Solving Equations by Multiplying and
Dividing
Solve each equation. Write the answer in simplest form.
5y
__ = 6
• Multiply both sides by the
8
reciprocal of the fraction next to
the variable.
Is being multiplied to y
8
6 __
5y
8
__
__ • __
=
•
5
1
8
5
48
3
y = __ , or 9 __
5
5
Solving Fraction Equations:
5-7 Multiplication and Division
TOYO 2
Solve each equation. Write the answer in simplest form.
6y
__ = 4
7
• Multiply both sides by the
reciprocal of the fraction next to
the variable.
28
2
y = __ , or 4 __
6
3
Solving Fraction Equations:
5-7 Multiplication and Division
Ex. 3: Solving Equations by Multiplying and
Dividing
Solve each equation. Write the answer in simplest form.
2
• Multiply both sides by the
7x = __
5
reciprocal of the fraction next to the
variable.
1
2
7x
1
__ • __
= __ • __
7
5
1
7
2•1
x = ____
5•7
2
x = __
35
Solving Fraction Equations:
5-7 Multiplication and Division
TOYO 3
Solve each equation. Write the answer in simplest form.
1
3x = __
7
1
x = __
21
Solving Fraction Equations:
5-7 Multiplication and Division
Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
Solving Fraction Equations:
5-7 Multiplication and Division
TWAP and Show Your Work
Solve each equation. Write the answer in
simplest form.
1
1
1. 3x = __
x = __
8
24
1 x=4
2. __
x = 16
4
3 x = 14
__
y =9
2 4. __
3. __
x = 98 or 32 __
7
7
3
3
y = 63
1
5. Rebecca used 3 pt of paint to paint __ of the
4
trim in her bedroom. How many pints will Rebecca
use for the trim in the entire bedroom? 12
Solving Fraction Equations:
5-7 Multiplication and Division
Chapter 5 Test Review Activity
 With your group, complete the following questions from
the “Chapter 5 Study Guide Review” on page 232:
• Each group is expected to
• Section 1 – Even Only
complete all of the assigned
• Section 2 – Even Only
questions in their notes.
• Section 3 – Odd Only
• A representative will be chosen at
random to complete a couple of
• Section 4 – #’s 20 – 23
questions at the board from a
• Section 5 – All
selected section.
• Section 6 - #’s 31 – 33
• If this representative does a great
• Section 7 – Odd Only
job, then a maximum of 3 points
will be added to Wednesday’s
Test.
Solving Fraction Equations:
5-7 Multiplication and Division
Chapter 5 Review
5
Section 7
1
2
3
4
6
Solving Fraction Equations:
5-7 Multiplication and Division
Lesson Quiz for Student Response Systems
1. Solve the equation and identify the answer
in the simplest form.
A.
C.
B.
D.
Solving Fraction Equations:
5-7 Multiplication and Division
Lesson Quiz for Student Response Systems
2. Solve the equation and identify the answer
in the simplest form.
A. x = 5
C. x = 25
B. x = 10
D. x = 50
Solving Fraction Equations:
5-7 Multiplication and Division
Lesson Quiz for Student Response Systems
3. Solve the equation and identify the answer
in the simplest form.
A.
C.
B.
D.
Solving Fraction Equations:
5-7 Multiplication and Division
Lesson Quiz for Student Response Systems
4. Solve the equation and identify the answer
in the simplest form.
A. y = 72
C.
B. y = 17
D.
Solving Fraction Equations:
5-7 Multiplication and Division
Lesson Quiz for Student Response Systems
5. Lou is learning to paint pottery. He used 3
pints of paint to paint
of a pot. How many
pints will Lou use for the entire pot?
A.
C. 3 pt
B.
D. 7 pt