Top Banner
Day 14 Review.notebook December 11, 2015 December 11, 2015 Aim : SWBAT review Unit 2B for test tomorrow. Do Now : Take out your homework . Homework : Finish Unit 2B Review Guide and Study for Unit 2B Test Tuesday
12

December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Sep 21, 2020

Download

Documents

dariahiddleston
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

December 11, 2015

Aim: SWBAT review Unit 2B for test tomorrow.

Do Now: Take out your homework .

Homework: Finish Unit 2B Review Guide and Study for Unit 2B Test Tuesday

Page 2: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

1 2 3 4 5 6

5y2; 8x; -12y2; 25x-7; -9

-12-9

-12y2

Simplify each side of the equation

Move the variable terms to one side (LETTERS LEFT)

Move the constant terms to the other side

Solve the remaining 1-Step equation

By getting rid of parenthesis and combining like terms.

9x + 4 = 4x - 6

x = -25

5x = -10

5x + 4 = -6- 4x

- 4

- 4x

- 4

5

1x - 3 = 3x + 19

x = -11-2

-2x = 22

-2x - 3 = 19- 3x

+ 3

- 3x

+ 3

-2

1 2 3

-14 = -14 √-18 + 4 ≟ -8 - 6

9x + 4 = 4x - 69 -2 + 4 ≟ 4 -2 - 6

1 2 -11 - 3 ≟ 3 -11 + 193

-14 = -14 √-14 ≟ -33 + 19

x - 3 = 3x + 19

Page 3: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

13x - 2 = 8x - 47

x = -95

5x = -45

5x - 2 = -47- 8x - 8x

+ 2

5

+ 2

6x - 7 = 11x - 42

x = 7-5

-5x = -35

-5x - 7 = -42- 11x- 11x

+ 7

-5

+ 7

4x - 36 = 7x + 18

-3x = 54

x = -18

-3x - 36 = 18

-3

- 7x- 7x

+ 36

2x + 8 = -3x - 7

- 85x = -155 x = -3

5x + 8 = -7

5

+ 3x

- 8

4x + 4 = -4x + 12

8x = 88 x = 1

8x + 4 = 12

8

+ 4x + 4x

- 4

11x + 7 = 8x - 29

x = -123

3x = -36

3x + 7 = -29- 8x - 8x

3

- 7

+ 36

-3

+ 3x

- 7 - 4

Page 4: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

Page 5: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

Page 6: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

Page 7: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

Page 8: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

Page 9: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

Answer Key

7 - x = -47 - -11 = -47 + 11 = -4

18 ≠ -4

+ 13 = -3x + 1

13 = 13√

13 = -3 -4 + 113 = 12 + 1

-3 (x - 4) = -21-3 (-3 - 4) = -21

-3 -7 = -2121 ≠ -21

subtract 22 from both sides

add 12 to both sides

multiply both sides by 3

distribute the 4

combine like terms (5x and -2x)

subtract 8 from both sides

-4x + 20 = -6012

3 ?

-60 = -60√

-4 20 + 20 = -60

-80 + 20 = -60

?

Page 10: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

7.8 + y = -2.12

y = -9.92- 7.8 - 7.8

+x - -14 = 46x + 14 = 46

- 14 - 14x = 32

­x + -19 = -36

+ 19x = -17

x - 19 = -36+ 19

-82.4 = 0.4n0.4

-206 = n0.4

x = 1623

32

x = 24

32

(-3.2) (-3.2)y

-3.2 = -5.75

y = 18.4

x - 4 = 2x + 5

2a + 2 = 4 (a + 6)

simplifyparenthesis like terms

variableconstant

oppositeinverse

8x + 12 = 28 -0.3x + 1.5 = -9.9

88x = 16

- 12

8

- 12

x = 2

- 1.5

-0.3

- 1.5-0.3x = -11.4

-0.3x = 38

2x - 53

= 5 (3)3

2x - 5 = 15+ 5 + 52x = 202x = 10

2

73

+ 12x - 12 = -27

x = -15

37

37

73

+ 12

x = -35

+

x = 1

56

x - =

65

47

1121

47

+ 47

56

x = 23211135

65

Page 11: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

3x - 6 + 2x = 145x - 6 = 14

+ 65x = 20

55

+ 6

x = 4

3x + 4x - 3 = 22 + 24

+ 3

7 7

7x - 3 = 46+ 3

7x = 49

x = 7

1

2

3

3 (x - 2) + 2x = 14?

?

?

14 = 14√

3 (4 - 2) + 2 4 = 143 2 + 2 4 = 14

6 + 8 = 14

1

2

3

3x + 4x - 3 = 22 + 243 7 + 4 7 - 3 = 22 + 24

21 + 28 - 3 = 46

?

?

46 = 46√

3m + 4 = -5m - 12

- 4

+ 5m

8

+ 5m8m + 4 = - 12

- 48m = - 16

8m = -2

1

2

3

3m + 4 = -5m - 12

3 -2 + 4 = -5 -2 - 12-6 + 4 = 10 - 12

?

?

-2 = -2√

-4x + 8 = 2x - 16- 2x- 2x

-6x + 8 = - 16- 8- 8

-6x = - 24-6 -6x = 4

1

2

3

-4x + 8 = 2x - 16

-4 4 + 8 = 2 4 - 16?

?-16 + 8 = 8 - 16-8 = -8√

Page 12: December 11, 2015 - cpb-us-e1.wpmucdn.com€¦ · 07/12/2015  · Day 14 Review.notebook December 11, 2015 7.8 + y = -2.12 y = -9.92 - 7.8 - 7.8 + x - -14 = 46 x + 14 = 46 - 14 -

Day 14 ­ Review.notebook December 11, 2015

Let n = the number + 12

4n - 12 = -36The number

is -6.4 4n = -6

4n - 12 = -36+ 12

4n = -24

Let h = the # of weeks

- 50

50 + 8w = 450

In 50 weeks, Eric will have saved $450.8 8

w = 50

50 + 8w = 450 - 50

8w = 400

Let n = cost of first item

Let n + 8 = cost of second item

n + n + 8 = 30

2n + 8 = 130 - 8

2 22n = 122

n = 61

n + n + 8 = 130

- 8The first item is $61

and the second item is $69.

Check: 61 + 69 = 130

Let v = cost of one video game

Let 2v - 3 = cost of the other video game

v + 2v - 3 = 71.94 3 33v = 74.94

v = 24.98

v + 2v - 3 = 71.94

+ 33v - 3 = 71.94

+ 3.00

One video game was $24.98 and the othervideo game was $46.96.