R2 & K6 HW; K6 & K9 September 03, 2014

HW CORRECTIONS1-5 Practice

1.

10. 8 11. -49 12. 2

13. 122 17. -18.9 19.

20. 25. -7 26. -20

27. 11 28. 47 31. 5.5

34. 35.

4 8

23

38

34

16

R2 & K6 HW; K6 & K9 September 03, 2014

HW CORRECTIONS1-1 Practice

1. y + 11

3. w + 15

5.

7. 3.3x

9. 8 minus a number

11. the quotient of a number y and

5 minus 10

13. the sum of 5 times a number

h and 3 times a number k

b8

R2 & K6 HW; K6 & K9 September 03, 2014

Adding/SubtractingK6

Positives/NegativesDecimalsFractions

R2 & K6 HW; K6 & K9 September 03, 2014

Addition Rules

NegativePLUSNegative

Negative PLUS

Positive

NBPPositive

PLUSPositive

Positive PLUS Negative

Adding/SubtractingK6

R2 & K6 HW; K6 & K9 September 03, 2014

Addition Rules

+Example 1

Adding/SubtractingK6

R2 & K6 HW; K6 & K9 September 03, 2014

Addition Rules

+Example 2

Adding/SubtractingK6

R2 & K6 HW; K6 & K9 September 03, 2014

Addition Rules

+Example 3

Adding/SubtractingK6

R2 & K6 HW; K6 & K9 September 03, 2014

Addition Rules

+Example 4

Adding/SubtractingK6

R2 & K6 HW; K6 & K9 September 03, 2014

Addition Rules

+Example 5

Adding/SubtractingK6

R2 & K6 HW; K6 & K9 September 03, 2014

Addition Rules

+Example 6

Adding/SubtractingK6

+

R2 & K6 HW; K6 & K9 September 03, 2014

Subtraction

Change to ADDITION"Stay, Plus, Opposite"

Examples

Adding/SubtractingK6

4 - (-3) = 4 + 3 = 7-10 - 5 = -10 - 5 = -152 - 8 = 2 + (-8) = -6

R2 & K6 HW; K6 & K9 September 03, 2014

Decimals

LINE UP the DECIMAL

Examples

Adding/SubtractingK6

-3.14 - 0.28- 3.14 + (-0.28) = -3.42

1.3 + 0.75 = 2.05

1 . 3 0+ 0 . 7 5

1

2 . 0 5

3 . 1 4+ 0 . 2 8

1

3 . 4 2

R2 & K6 HW; K6 & K9 September 03, 2014

Fractions Adding/SubtractingK6

• Step 1: Make sure the bottom numbers (the denominators) are the same.

• Step 2: Add the top numbers (the numerators), put the answer over the denominator.

• Step 3: Simplify the fraction (if needed)

3 Steps:

R2 & K6 HW; K6 & K9 September 03, 2014

Fractions Adding/SubtractingK6

Fraction Riddle

2,3,45,6,7

8, 9, 10

Everybody 1

R2 & K6 HW; K6 & K9 September 03, 2014

Activity 3What are "like terms"?

R2 & K6 HW; K6 & K9 September 03, 2014

x x2 y

3x

-x

xy

-2.5x

3x4

27 x

xyz

800x

3x2

-x2

x2y

3.75x2

-.75x2

27 x2

xy2

12y

0y

-y

-1.8y

-901y

yx y2

4.6y x2

R2 & K6 HW; K6 & K9 September 03, 2014

4x3 + 2Recall: Parts of an Expression

coefficient- number multiplying ("attached to") the variable

variable- lowercase letter representing a number

exponent- number of times the variable is multiplied by itself

constant- term with no variables(just a number)

R2 & K6 HW; K6 & K9 September 03, 2014

4x3 + 2a constant, a variable or a

combination of coefficients and variables

Recall: Parts of an Expression

term

R2 & K6 HW; K6 & K9 September 03, 2014

Activity 3What are "like terms"?

Definition:

Like terms are terms that have the SAME VARIABLES and

VARIABLE EXPONENTS

R2 & K6 HW; K6 & K9 September 03, 2014

Combing Like TermsK9

R2 & K6 HW; K6 & K9 September 03, 2014

Combing Like TermsK9 What to do...

Add (or subtract) the COEFFICIENTS only

**variables stay the same**

R2 & K6 HW; K6 & K9 September 03, 2014

Combing Like TermsK9 What to do...

Example 13x2 - 4x2 + 5x2

-x2 + 5x2

Add (or subtract) the COEFFICIENTS only

**variables stay the same**

4x2

R2 & K6 HW; K6 & K9 September 03, 2014

Combing Like TermsK9 What to do...

Example 2-12a + 5c - b + (-3a) - (-7)

R2 & K6 HW; K6 & K9 September 03, 2014

Combing Like TermsK9 What to do...

Example 33x4

27 xxy2y2 + +

34 xy2 2

7 xxy2+ +y2 xy2+ 3

4 x 27 x+

y2 xy2+ 2128 x 8

28x+

y2 xy2+ 1328 x