| Absolute Value & Equations | Subtracting Negative and Positive Integers | Adding Negative and Positive Integers | Properties of Math | Number Lines and Like terms |
|---|---|---|---|---|
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Absolute value bars
What symbol is used to show the absolute value of an integer?
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"Add the opposite."
[Or, Add the 2nd's opposite]
What is the song or jingle we learned in class about subtracting negative and positive integers?
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"Subtract the smaller from the larger, keep the sign of the larger"
What is the rule (or jingle) we learned when adding negative and positive numbers?
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Identity Property of Multiplication
Identity Property of Addition
9 x 1 = 9 uses the __________ Property of _______.
18 + 0 = 18 uses the ______ Property of _____. |
open dot on -2 with arrow going left.
Plot on a number line:
x is less than -2 |
|
2
4 - (in bars -2)
|
-19 + (-5)
ANSWER: -24
-19 - 5
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Subtract: 42 - 16 = 26
Keep the sign of larger number... negative sign ANSWER:- 26
-42 + 16
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Commutative Property of Addition
(-2 x 5) + 4a = 4a + (-2 x 5) uses the ______ Property of _______.
|
t <_ 3,000
Make this into a math expression:
Trucks must weigh 3,000 tons or less to cross this bridge. |
|
4
-8 / (in bars -4) x -2
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25 + + 13
ANSWER: 38
25 - (-13)
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Subtract: 18 - 10 = 8
Keep the sign of larger number... positive sign ANSWER: 8
18 + (-3) + (-7)
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Commutative Property of Multiplication
4 x (-19b) x 7 = (-19b) x 4 x 7 uses the ______ Property of ______.
|
closed dot on 6 with arrow going right
Plot on a number line:
r is more than or equal to 6 |
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14 + 3 + 2(30) + 2(7)
17 + 74 ANSWER: 91
7a + 3b +2(37); if a = 2 and b = 1
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14 + + 6 + 22a + (-30)
20 + 22a + (-30) ANSWER: -10 + 22a
14 - (-6) + 22a - 30
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Subtract: 41 - 25 = 16
Keep the sign of larger number... negative sign ANSWER: 16
(-20) + 25 + (-8) + (-13)
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Associative Property of Multiplication
(17 x 25)100 = 17(25 x 100) uses the ____ Property of _____.
|
22a + 4b - 28
Simplify:
8a + (-8) + 14a - 20 + 4b |
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5a = -10
a = -2
Solve & show work:
5a + 30 = 20 |
16a - 24 - 10a - 5
16a + (-24) + (-10a) + (-5) ANSWER: 6a - 29 OR 6a + (-29)
8(2a - 3) - 10a - 5
|
(-20) + (-25) + (-8) + + 13
-53 + 13 ANSWER: -40
(-20) - 25 + (-8) - (-13)
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Distributive Property
8(2a - 4b) = 16a - 32b
AND 8(42) = 8(40) + 8(2) uses the __________ Property. |
20c + 80 - 21c + 6
ANSWER: -c + 86
Simply:
5(4c + 16) - 3(7c -2) |
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