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# Let’s Get Ready - PowerPoint PPT Presentation

Let’s Get Ready. J. To Play Some . . . E. O. P. A. R. D. Y. Jeopardy Board. Final Jeopardy. Solve One Step Equations - 100. Solve: x + 4 = 8. Board. Answer. Solve One Step Equations - 100. Solve: x + 4 = 8. Algebra Tiles. x + 4 = 8.

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Presentation Transcript

J

To Play Some . . .

E

O

P

A

R

D

Y

Jeopardy Board

Final Jeopardy

Solve One Step Equations - 100

Solve: x + 4 = 8

Board

Solve One Step Equations - 100

Solve: x + 4 = 8

Algebra Tiles

x + 4 = 8

Get rid of 4 yellows

Algebra

x + 4 = 8

Both sides

– 4

– 4

x = 4

x = 4

Board

Solve One Step Equations - 200

Solve: x – 2 = -3

Board

Solve One Step Equations - 200

Solve: x – 2 = -3

Algebra Tiles

x – 2 = -3

Get rid of 2 reds

Algebra

x – 2 = -3

Both sides

+2

+2

x = -1

x = -1

Board

Solve One Step Equations - 300

Solve: 2x = 6

Board

Solve One Step Equations - 300

Solve: 2x = 6

Algebra Tiles

2x = 6

How many squares for each rectangle?

Algebra

Divide

x = 3

2x = 6

2

2

x = 3

Board

Solve One Step Equations - 400

No Algebra Tiles here

 5

5 

Do the opposite

Fraction bar means division

x = 50

Both sides always

Board

Solve One Step Equations - 500

No Algebra Tiles here

Option 1: Get rid of fraction by multiplying by LCD ____

Option 2: Multiply by the

reciprocal ____

3

 3

3 

1

2x = 36

Finish

x = 18

2

2

x = 18

Board

Solve Two Step Equations - 100

Solve: 2x + 3 = 5

Board

Solve Two Step Equations - 100

Solve: 2x + 3 = 5

Algebra Tiles

2x + 3 = 5

Get rid of 3 yellows

Algebra

2x + 3 = 5

– 3

– 3

2x = 2

Both sides

Cancel

2

2

What is this equation?

x = 1

Separate the squares

x = 1

Board

Solve Two Step Equations - 200

Solve: 5x – 3 = -13

Board

Solve Two Step Equations - 200

Solve: 5x – 3 = -13

Algebra Tiles

5x – 3 = -13

Get rid of 3 reds

Algebra

5x – 3 = -13

+ 3

+ 3

5x = -10

Both sides

Cancel

5

5

What is this equation?

x = -2

Separate the squares

x = -2

Board

Solve Two Step Equations - 300

Solve: 3x + 4 = -5

Board

Solve Two Step Equations - 300

Solve: 3x + 4 = -5

Algebra Tiles

3x + 4 = -5

Get rid of 4 yellows

Algebra

3x + 4 = -5

– 4

– 4

3x = -9

Both sides

Cancel

3

3

What is this equation?

x = -3

Separate the squares

x = -3

Board

Solve Two Step Equations - 400

No Algebra Tiles here

Option 1: Get rid of fraction by multiplying by LCD ____

Option 2: Multiply by the

reciprocal at the end ____

3

3 

 3

 3

– 6

– 6

2x + 18 = -36

Finish

– 18

– 18

1

2x = -54

2

2

x = -27

x = -27

Board

Solve Two Step Equations - 500

No Algebra Tiles here

6

Get rid of fractions by multiplying by LCD ____

6 

 6

 6

4x

+ 3

= -18

Finish

– 3

– 3

4x = -21

4

4

Board

Solve Other Equations - 100

Solve: 2(x + 3) = 10

Board

Solve Other Equations - 100

Solve: 2(x + 3) = 10

Algebra Tiles

2(x + 3) = 10

What is this equation?

Algebra

2(x + 3) = 10

Get rid of 6 yellows

2x + 6 = 10

– 6

– 6

2x = 4

Both Sides

2

2

Cancel

What is this equation?

x = 2

Separate the squares

Board

x = 2

Solve Other Equations - 200

Solve: 3(x – 4) = -15

Board

Solve Other Equations - 200

Solve: 3(x – 4) = -15

Algebra Tiles

3(x – 4 ) = -15

What is this equation?

Algebra

3(x – 4) = -15

Get rid of 12 reds

3x – 12 = -15

+12

+12

3x = -3

Both Sides

3

3

Cancel

What is this equation?

x = -1

Separate the squares

Board

x = -1

Solve Other Equations - 300

Solve: 2x + 3 + 4x – 7 = 14

Board

Solve Other Equations - 300

Solve: 2x + 3 + 4x – 7 = 14

Combine like terms

6x – 4 = 14

+4

+4

6x = 18

6

6

x = 3

Board

Solve Other Equations - 400

Solve: 3x + 4 – 5x + 2 = 0

Board

Solve Other Equations - 400

Solve: 3x + 4 – 5x + 2 = 0

Combine like terms

-2x + 6 = 0

-6

-6

-2x = -6

-2

-2

x = 3

Board

Solve Other Equations - 500

Solve: 2x + 3 = 4x – 5

Board

Solve Other Equations - 500

Solve: 2x + 3 = 4x – 5

Variables on both sides

2x + 3 = 4x – 5

-2x

-2x

Get rid of one of the variables

3 = 2x – 5

+5

+5

8 = 2x

2

2

x = 4

Board

Word Problems to Equations- 100

Translate: Twice a number is 250

Board

Word Problems to Equations- 100

Translate: Twice a number is 250

2x = 250

Board

Word Problems to Equations- 200

Translate: Two-thirds of a number and 6 is 24

Board

Word Problems to Equations- 200

Translate: Two-thirds of a number and 6 is 24

Board

Word Problems to Equations- 300

Translate into an equation: The plumber charges \$40 per hour plus \$50 service charge. The bill comes to \$170.

Board

Word Problems to Equations- 300

Translate into an equation: The plumber charges \$40 per hour plus \$50 service charge. The bill comes to \$170.

40h + 50 = 170

Board

Word Problems to Equations- 400

Translate into an equation: Your company has \$20,000. It costs \$3,500 per week to run the company. How long before the company has \$500?

Board

Word Problems to Equations- 400

Translate into an equation: Your company has \$20,000. It costs \$3,500 per week to run the company. How long before the company has \$500?

20000 – 3500w = 500

Board

Word Problems to Equations- 500

Translate to an equation: Your company has \$16,000. You make \$750 a day. How long before you have \$20,000?

Board

Word Problems to Equations- 500

Translate to an equation: Your company has \$16,000. You make \$750 a day. How long before you have \$20,000?

750d + 16000 = 20000

Board

Final Jeopardy Category

Perimeter of

a rectangle

Board

Final Jeopardy Question

x + 5

2x

x – 4

x – 4

x

x

2x

x + 5

The perimeters of these rectangles are equal. Write an equation and solve for x.

Final Jeopardy Question

x + 5

2x

x – 4

x – 4

x

x

2x

x + 5

The perimeters of these rectangles are the same. Write an equation and solve for x.

Perimeter of left rectangle

Perimeter of right rectangle

P = x + x + 5 + x + x + 5

P = x – 4 + 2x + x – 4 + 2x

= 4x + 10

= 6x – 8

Since the perimeters are the same, set them equal to each other

10 = 2x – 8

4x + 10 = 6x – 8

+ 8

+ 8

– 4x

– 4x

Board

18 = 2x

x = 9

10 = 2x – 8

2

2