ms algebra a-rei-1 ch. 3 -...
TRANSCRIPT
MS Algebra A-REI-1 – Ch. 3.4Multi-step Problems & Variables on Both Sides
Mr. Deyo
Solve Multiple Step Algebraic Equations with Variables on Both Sides
By the end of the period, I will solve multi-step equations that have variables on both sides of the equal sign.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Learning Target
Title: 3.4 Multi-Step Problems With Variables on Both Sides Date:
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 3.4 Pg. 149-151 3) Section ______
TxtBk. Prob. #23-31 Odd,50-54 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
Storm Check (Think, Write, Discuss, Report)
Questions on which to ponder and answer:1. How are the two images similar?
2. How are they different?
3. How can these two images be related to math?
For use with pages xxx–xxxDaily Warm-Up Exercises
A surf shop charges $85 for surfing lessons and $35 per hour to rent a surfboard. Anna paid $225.
Find the number of hours she spent surfing.
For use with pages xxx–xxxDaily Warm-Up Exercises
A surf shop charges $85 for surfing lessons and $35 per hour to rent a surfboard. Anna paid $225.
Find the number of hours she spent surfing.
ANSWER
4 hours
1) Simplest Form
2) Equation
3) Inverse Operations
4) Reciprocal
5) Distributive Property
Vocabulary
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
Friendly DefinitionSketch
Wordwork Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing
DAY 1
1. Use Visuals
2. Introduce the word
Friendly Definition
Physical Representation
3. Use Cognates
4. Write friendly definition
5. Physical Representation
Word List1.2.3.4.
Whole Class Multiple Choice Practice
The equation is solved below.
Step 1 Step 2 Step 4Step 3
( )60+16x41
6x =– 5
– 4x=56x + 15
– 15=510x
20=10x
2=x
STEP 1
STEP 2
STEP 3
STEP 4
Which is the first incorrect step in the solution?
Whole Class Multiple Choice Practice
The equation is solved below.
Step 1 Step 2 Step 4Step 3
( )60+16x41
6x =– 5
– 4x=56x + 15
– 15=510x
20=10x
2=x
STEP 1
STEP 2
STEP 3
STEP 4
Which is the first incorrect step in the solution?
SOLUTION
In Step 2, 4x should have been subtracted from the left side of the equation instead of being added.
ANSWER
The correct
answer is B.
Solve an equation with variables on both sides
Solve for the value of x.
Problem A
– 4x=8x7 – 17
Solve an equation with variables on both sides
Solve for the value of x.
Problem A
– 4x=8x7 – 17
– 4x=8x7 – 17
– 4x=8x7 – 17+ 8x + 8x
12x= – 177
12x=24
x=2
Write original equation.
Add 8x to each side.
Simplify each side.
Add 17 to each side.
Divide each side by 12.ANSWER
Problem B
Solve the equation. 3 – 4a = 5(a – 3)
ANSWER
a = 2
Problem B
Solve the equation. 3 – 4a = 5(a – 3)
3 – 4a = 5a – 153 = 9a – 15
18 = 9a 2 = a
Solve a real-world problem
The annual sales report for a car dealership is shown. If these
trends continue, in how many years will the number of new
cars sold be twice the number of used cars sold?
Problem A CAR SALES
=2(-)
Solve a real-world problemProblem A
Let x represent the number of years from now. Then 6x represents the increase in the
number of new cars sold over x years, and - 4x represents the decrease in the
number of used cars sold over x years. Write a verbal model.
78 + 6x = )(2 ( )4x–67 +
SOLUTION
78 + 6x = 2 (67 – 4x) Write equation.78 + 6x = 134 – 8x Distributive property
78 + 14x = 134 Add 8x to each side.14x = 56 Subtract 78 from each side.
x = 4 Divide each side by 14.The number of new
cars sold will be twice
the number of used
cars sold in 4 years.
ANSWER
Problem B
Suppose the car dealership sold 50 new cars this year. In how many years will the number of new cars sold be twice the number of used cars sold?
=2(-)
WHAT IF?
50
Problem B
Suppose the car dealership sold 50 new cars this year. In how many years will the number of new cars sold be twice the number of used cars sold?
ANSWER
=2(-)
WHAT IF?
50
6 years
Storm Check (Think, Write, Discuss, Report)
How do you take the words of a word problem and create an equation to solve (3-4 sentences)?
When I read a word problem in math, I ___________
___________________________________________
___________________________________________
__________________________________________.
1) Simplest Form
2) Equation
3) Inverse Operations
4) Reciprocal
5) Distributive Property
Vocabulary
By the end of the period, I will solve multi-step equations that have variables on both sides of the equal sign.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.
Learning Target
Title: 3.4 Multi-Step Problems With Variables on Both Sides Date:
Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 3.4 Pg. 149-151 3) Section ______
TxtBk. Prob. #23-31 Odd,50-54 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of ContentsDate Description Date Due
Ticket OUT.
For $360, a rock-climbing gym offers a yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. After how many visits is the total cost for a member and a nonmember the same?
Rock Climbing
Ticket OUT.
For $360, a rock-climbing gym offers a yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. After how many visits is the total cost for a member and a nonmember the same?
Solution - Rock Climbing
V represents the number of visits
360 + 4V = 10V + 6V360 + 4V = 16V
360 = 12V
30 = V