How do we model reallife situations? 5-5... · Lesson 55 day 2 variables on both sides.notebook 10...

Lesson 55 day 2 variables on both sides.notebook

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How do we model reallife situations?

Unit Question:


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DO NOW:Patrick takes two orders at the fast food restaurant where he works. The two orders cost the same.

Order #1: Two hamburgers and three orders of friesOrder #2: Three hamburgers and one order of fries

a) If an order of fries costs $2.00, write an expression in simplest form for each order.

Let n = the cost of each hamburger

b) How can you show the expressions are equal?

c) What is the cost of each hamburger?

d) What is the cost of each order?

Solving equations with variables on both sides Day 2 (55)


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2n + 6 = 3n + 2Order # 1 = Order # 2Since the two orders cost the same...

Example # 1

Let's do this together!

Let n = the cost of each hamburger

SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES (10-4)


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Example #2: You can do it!

Back to steps.

8n - 3 = 6n + 17


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Example #3: Let's dothis together!

Back to steps.

7n + 4 = 3n


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Example #4: Try this one by yourself.

Back to steps.

6n = 20 + 4n


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Example #5: Let's do this together!

Back to steps.

6(1 - 2n) = -4 - 7n


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Back to steps.

Answer hidden here! Bring the magnifying glass over.

x = 3

3(2x + 1) + 2x = 5x + 12

Example #6: Let's dothis together!


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Solving Equations with Variables on Both Sides

Back to steps.

Practice. Solve for n. Check your answer.

4. 4(3n - 10) = 10(n - 3)

2. 7n + 5 - 2n = 3n - 17

3. 15n = 10n - 30

Answers:1. n = 42. n = -113. n = -64. n = 5

Answers

1. 7n - 4 = 2n + 16


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Step 1

Step 2

Step 3

Step 4

Step 5

Distribute, if necessary.

Combine like terms on each side of the equation, if necessary.

Move all variables to one side of the equation using inverse operations.

Solve for the variable using your knowledge of solving one‐step and two‐step equations.

SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES (10-4)

Check your answer!Step 1: Rewrite the original equation.Step 2: Substitute the found value of the variable into the original equation.Step 3: Simplify both sides of the equation, if necessary.Step 4: Make sure the right side of the equation = the left side of the equation.


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Roll the number cube to create a new equation to solve.

Practice with a Partner Back to steps.

6 3x6 3x6 3x

6x 20 + 2x


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4) 5) 6)


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Attachments

real world application.wpl

Chapter 10 lesson 4 Day 1 homework assisgnment.doc

Chapter 104 previous night's homework review.doc

real world application

SMART Notebook

Name: ____________________ Date: ____________

Chapter 10 lesson 4 (Day 1) homework

Topic: Solving equations with variables on both sides

Directions: Solve for the variable given. Check your solution.

1. 15 – 3n = n – 1

2. -6f + 13 = 2f – 11

3. 7a + 10 = 2a

4. 11x = 24 + 8x

5. 2x – 4(4 – 3x) = x + 10

6. The table below gives prices for two different bowling alleys in your area.

Bowling Allen

Shoe Rental

Cost per game

x

$2.50

$4.00

Y

$3.50

$3.75

How many games would you have to play for the cost to bowl at each alley to be equal?

Name: ____________________ Date: ____________

Chapter 10 lesson 4 (Day 1) homework

Topic: Solving equations with variables on both sides

Directions: Solve for the variable given. Check your solution.

1. 15 – 3n = n – 1 n = 4

2. -6f + 13 = 2f – 11 f = 3

3. 7a + 10 = 2aa = -2

4. 11x = 24 + 8x

x = 8

5. 2x – 4(4 – 3x) = x + 10

x = 2

6. The table below gives prices for two different bowling alleys in your area.

Bowling Allen

Shoe Rental

Cost per game

x

$2.50

$4.00

Y

$3.50

$3.75

Equation: 2.50 + 4(g) = 3.50 + $3.75g

How many games would you have to play for the cost to bowl at each alley to be equal? 4 games

SMART Notebook

Unit Question: How do we model a real-life situation?

Name: _________________________

Date: ____________

Ms. McFadden

Homework: Review

1)Write an expression in simplest form for the perimeter of the triangle below.

2)Write an expression, in terms of n, in simplest form that represents the total amount in each situation.

a) You buy 2 drinks that cost n dollars each, a large bag of popcorn for $3.50, and a chocolate bar for $1.50.

b) Each lap around the school track is a distance of n yards. You ran 3 laps on Monday, 5 laps on Wednesday, and 100 yards of Friday.

3) Rewrite using the Distributive Property:

a) 3(n + 7)

b) 2(7 – 5n)

4) Solve each equation. Then check.

a) 3(n+4) = 15

b) n - 6n + 10 = -25

Name: _________________________

Date: ____________

Ms. McFadden

Homework: Review

1)Write an expression in simplest form for the perimeter of the triangle below.

13 x + 17

2)Write an expression, in terms of n, in simplest form that represents the total amount in each situation.

a) You buy 2 drinks that cost n dollars each, a large bag of popcorn for $3.50, and a chocolate bar for $1.50.

2n + 5

b) Each lap around the school track is a distance of n yards. You ran 3 laps on Monday, 5 laps on Wednesday, and 100 yards of Friday.

8n + 100

5) Rewrite using the Distributive Property:

a) 3(n + 7) 3n + 21

b) 2(7 – 5n) 14 – 10n

6) Solve each equation. Then check.

a) 3(n+4) = 15 n = 1

b) n - 6n + 10 = -25 n = 7

5x + 3

7x + 4

x + 10

5x + 3

7x + 4

x + 10

SMART Notebook

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How do we model reallife situations? 5-5... · Lesson 55 day 2 variables on both sides.notebook 10...

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