Identities & Properites
Mixed
Inequalities
Equalities
Absolute Value Inequalities
Evaluate the Expression
100

What Identity or Property?
4 (1) = 4

Multiplication Identity

100

|2x-4|=2

x=3, x=1

100

x+7>4

x>-3

100

x+ 2 = 4

2

100

|x-4|<7

x>-3 and x<11

100

3x + 5y + x

4x + 5y

200

What Identity or Property?

2 (½) = 1

Inverse Property of Multiplication

200

|-6+3|=27

x=-4, x=5

200

x-18>-15

x>13

200

x+7 = 3

-4

200

|2k+1|> 9

k>4 or k<to -5

200

12 - 5x + 2y + 3x  

12 -2x + 2y

300

What Identity or Property?

9(10 + 8) = 9 • 10 + 9 • 8

Distributive Property

300

|5-2x|-11=0

x=-3, x=8

300

3-(4m+1)>5m-25

3>m

300

3x + 12 = 0

-4

300

When I multiply or divide by a negative what happens to the sign

it flips

300

13x2 + 4x + 10y + 5x2 + 2x

18x2 + 6x + 10y

400

What Identity or Property?

8 + (-8) = 0

Inverse Property of Addition

400

Solve for y

3x + 15y = 2

y = -1/5x + 1/15

400

3(x-4)< x-6

x<3

400

2 - (3x +4) = 12

-14/3

400

When Im writing the second equation what happen to the signs and what happens to the number on the other side of the equal sign?

sign flips and you change the number to positive or negative depending what it is first.

400

4y2 + 13x2 + 4x + 10y + 13y2 + x + 10

17y2 + 13x2 + 5x + 10y+ 10

500

What Identity or Property?

15xy = 15yx

 Commutative Property of Multiplication

500

Solve for r

C = 2 pi r

r = C/(2 pi)

500

2+5(2w-10)/-2<7

w>-6

500

-10 -(5x + 15) = 20

-9

500

9-2|4x+1|>3

x>4 and x<-1

500

5y2 + 10x2 + 7x + 5y + 10y2 + x + 2y2 + 3x2 + x + 1y - 10

15y2 + 13x2 + 8x + 6y - 10

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