Properties and Expressions

The Properties

100

What property is this? 1x3=3

 Identity Property 

200

What property is this? 5+(-5)=0

 Inverse Property

300

What property is this? 4+5=5+4

Commutative Property

400

What property is this? 2+(3+5)= (2+5)+3

 Associative Property

500

What property is this? 4(x+6)

 Distributive Property 4x+24

Plugging in numbers for varibles

100

When x=2, solve 5x+7

17

200

When x=6, solve 6x+73+11

120

300

When x=7 and y=4, Solve 5x+3y

47

400

When y=5 and x=3, Solve 5y+6x+y

48

500

When y=2 x=6 a=8, y(x+a)+9(x+y)+1

101

Factoring

100

Factor this: 2x²+4x-8

2(x²+2x-4)

200

Factor this: 25x²+60x+10

5(5x²+12x+2)

300

Factor this: 14x²-70x-35

7(2x²-10x-5)

400

Factor this: 12x²+24x-60

12(x²+2x-5)

500

Factor this: 8x²-32x+99=11

8(x²-4x+11)=0

Error Analysis

100

When x=2, (2x+5)(x-1)=9+1=10

Multiply, not add. 9x1=9

200

3x²+6x+12=2(x²+3x+6)

Divide by 3. 3(x²+2x+4)

300

4(x+4)=4x+8

4x4=16. 4x+16

400

Example of Inverse Property: 5/6 x 5/6=1

5/6 x 6/5=1

500

Example of Commutative Property: 6+8=14+0

6+8=8+6

Word Problems

100

An apple costs 2 dollars. Tom buys 5 apples. How much did it cost?

10 dollars

200

A phone is 200 dollars. Anthony buys 3 phones. There is an additional tax of 25 dollars. How much did it cost?

625 dollars

300

Bella has 78 sausages and 80 hot dog buns. What is the largest amount of hot dogs she can make?

39

400

Felicia wants to buy a bed and a blanket. The bed costs 782 dollars. The blanket costs 53 dollars. There is a 25 percent tax added to these items. What is the cost?

1043.75 dollars

500

Tommy lives in an apartment. He payed 600 as a down payment and pays 150 dollars every month. How much, including the down payment, did Tommy pay after 3 years?

$6000