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1. Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5. Find the perimeter of a rectangle with side length 12 cm and a width of 5 cm.

1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

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Objective: SWBAT apply their knowledge of solving one step equations when given application problems.

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Page 1: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

1. Solve 29=15x (Improper fraction)

2. Solve 15. 7= -9/11 + x (Mixed fraction)

3. Evaluate, then solve when y = -12.2x-3y= 36

4. Solve - 4x + x = -15

5. Find the perimeter of a rectangle with side length 12 cm and a width of 5 cm.

Page 2: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

1. Solve 29=15x (Improper fraction)

2. Solve 15. 7= -9/11 + x (Mixed fraction)

3. Evaluate, then solve when y = -12.2x-3y= 36

4. Solve - 4x + x = -15

5. Find the perimeter of a rectangle with side length 12 cm and a width of 5 cm.

Page 3: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Objective:Objective:

SWBAT SWBAT apply their knowledge of apply their knowledge of solving one step equationssolving one step equations when when given given application problemsapplication problems. .

Page 4: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

New Section in New Section in Table of Contents: NotesTable of Contents: Notes

DateDate Topic(s)Topic(s) Page #Page #

10/_ /1110/_ /11 APPLYING my APPLYING my knowledge of one step knowledge of one step equationsequations

Write what page Write what page are you on?are you on?

Page 5: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Evaluating, then Evaluating, then solving… solving…

Need an Introduction:Example 1a: Board.

Given the value of y = -2, find the value of x in the equation:

x-4y=21

Example 1A. (All You!)

Given the value of y = -4, find the value of x in the equation:

x-4y=21

Ready to go:Example 1B:

Given the value of y = -2/11, find the value of x in the equation:

x-4y=21

Already on the move:Example 1C:

Given the value of y= , find the value of x in the equation:

1112

7321

314 yx

Page 6: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Partner Practice Partner Practice

Building my confidence !

Almost Confident:

Ready for a Challenge:

Choose a category and practice the problems on the slide with the title you have chosen

Page 7: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Building my confidence…Building my confidence…1. Given the value of y= - 3,

solve for the value of x in the equation:

x + 4y = -31

2. Given the value of y= - 5, solve for the value of x in the equation:

x - 2y = -50

3. Given the value of y= - 3, solve for the value of x in the equation:

x + 8y = -31

EXAMPLES:

Page 8: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Almost Confident…Almost Confident…1. Given the value of y= - 3/11, solve for

the value of x in the equation:

x + 4y = -31

EXAMPLES:

2. Given the value of y= , solve

for the value of x in the equation:

x - 2y = -11

713

Page 9: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Ready for a challenge…Ready for a challenge… Given y = and z = , solve for x in Given y = and z = , solve for x in

the given equation: the given equation: 713

711

yzyx73212

31

Example:

Page 10: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Combining like terms, Combining like terms, then solving… then solving…

Need an Introduction:Example 2a: Board.

Given: 4x-x=30

Solve for x.

Example 1A. (All You!)

Given: 9x+x=30

Solve for x.

Ready to go:Example 2B:

Given:

x – x =30

Solve for x.

Already on the move:Example 2C:

Given:

Solve for x.

7321

723 xx

713

Page 11: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Partner Practice Partner Practice

Building my confidence !

Almost Confident:

Ready for a Challenge:

Choose a category and practice the problems on the slide with the title you have chosen

Page 12: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Building my confidence…Building my confidence…1. Given: 10x – x = 90 Solve for x.

2. Given: 11x + x = 48 Solve for x.

3. Given: 75 =12x - 4x Solve for x. (Mixed)

EXAMPLES:

Page 13: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Almost Confident…Almost Confident…EXAMPLES:

7131. Given: x – x = 90

Solve for x. 711 2. Given: x + x = 90

Solve for x.

Page 14: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Ready for a challenge…Ready for a challenge…

34

742

31

34

7321 xxx

Example:1. Given:

Solve for x.

Page 15: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Apply our prior Apply our prior knowledge to perimeter…knowledge to perimeter…

Need an Introduction:-Perimeter is the DISTANCE AROUND A FIGURE!

Example 3A. (Us)Given the perimeter is 42 cm. Find the value of x.

Ready to go:Example 3B:

Solve for x, given that the perimeter is 42.

Already on the move:Example 3C:

Solve for x, given that the perimeter is 42.

3 cm

7 cmP= 7+3+7+3 =20 cm

3 cm

x cm

x713

x711

xx 713

xx 711

Page 16: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Partner Practice Partner Practice

Building my confidence !

Almost Confident:

Ready for a Challenge:

Choose a category and practice the problems on the slide with the title you have chosen

Page 17: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Building my confidence…Building my confidence…EXAMPLES: 1. Solve for x, given that the perimeter is 66 cm.

x3

x2

2. Solve for x, given that the perimeter is 87 ft.

x5

x

3. Solve for x, given that the perimeter is 97 in.

x

x7

10x5

Page 18: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Almost Confident…Almost Confident…EXAMPLES: 1. Solve for x, given that the perimeter is 97 in.

6 x

67

10x

2. Solve for x, given that the perimeter is 41 in.

xx 7

xx 4714 xx 4

714

Page 19: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Ready for a challenge…Ready for a challenge…

6 x

x5x

710

Example:1. Solve for x, given that the perimeter is

41 in.

xx 47

104

x6

67

10x

x7

104

xx 67

10

Page 20: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Writing equations to Writing equations to represent situations..represent situations..

Need an Introduction:Example 4A:

Kellie bought an ipod from the pawn shop for x dollars. Her uncle bought it from her for 3 times the amount she paid. Write an expression to represent this situation.

Ready to go:Example 4B:

Kellie bought an ipod from the pawn shop for x dollars. Her uncle bought it from her for 3 times the amount she paid. He bought it for $84.Write an equation to represent this situation.

Already on the move:Example 4C:

Kellie bought an ipod from the pawn shop for x dollars. Her uncle bought it from her for 3 times the amount she paid. Write and solve an equation that represents her profit of $56. (profit is the difference between purchase price and cost)

Page 21: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Writing equations to Writing equations to represent situations..represent situations..

Building my confidence…A. Ms. O’s grandma bought 4 oranges and 5 apples. She spent a total of $3.85. Write an equation to represent the situation where x represents the number of oranges and y represents the number of apples.

Almost confident…

B. Ms. O’s grandma bought 4 oranges and 5 apples. She spent a total of $3.85. When leaving the store, you noticed that apples were 4 for $1. Write an equation to represent the situation and solve to find the cost of each orange and each apple.

Ready for a challenge…C. Ms. O’s grandma bought 4 oranges and 5 apples. She spent a total of $3.85. When leaving the store, you noticed that apples were 3 for $1. Write an equation to represent the situation, then find what the total cost of buying one orange and one apple would be.

Page 22: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Applying our prior Applying our prior knowledge to Formulas!!!knowledge to Formulas!!!

3

34 rV

3

34 rV

In terms of π vs. 3.14…

Already on the move:Example 4C: Given the diameter of a sphere is 21/4 cm. Find the volume of a sphere in terms of π given the formula:

Need an Introduction:Example 4A:

Given the radius of a sphere is 14 cm. Find the volume of a sphere in terms of π given the formula:

Ready to go:Example 4B:

Given the diameter of a sphere is 22 cm. Find the volume of a sphere in terms of π given the formula:

3

34 rV 3

34 rV 3

34 rV

Page 23: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Building my confidence…A. Given the radius (r) of a cylinder is 5 cm and the height (h) is 12 cm. Find the volume of cylinder in terms of π given the formula:

Almost confident…

B. Given the diameter (r) of a cylinder is 10 cm and the height (h) is 12 cm. Find the volume of cylinder in terms of π given the formula:

Ready for a challenge…C. Given the diameter (r) of a cylinder is 10/15 cm and

the height (h) is cm.

Find the volume of cylinder in terms of π given the formula:

Applying our prior Applying our prior knowledge to Formulas!!!knowledge to Formulas!!!

713

Page 24: 1.Solve 29=15x (Improper fraction) 2. Solve 15. 7= -9/11 + x (Mixed fraction) 3. Evaluate, then solve when y = -12. 2x-3y= 36 4. Solve - 4x + x = -15 5

Homework is class work Homework is class work untill the bell rings untill the bell rings

DateDate Assignment: summarize Assignment: summarize assignment nameassignment name

Due DateDue Date Page #Page # COMPLETION COMPLETION STAMPSTAMP

10/_ /1110/_ /11

DO NOT FORGET on LOOSE LEAF:

-Title, Date, and Name on loose leaf paper ABOVE FIRST LINE

-NEW Page NUMBERED