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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