Properties
What property is used below?
23 + 0 = 23
Identity (+)
Simplify.
2(6a + 5)
12a + 10
Simplify.
-12a + 7 + 6a - 3
-6a + 4
10 + m = 20
m = 10
A soda costs $4 less than a hot dog. The soda is $1.25. Write an equation represents this situation?
x = cost of a hot dog
1.25 = x - 4
What property is used below?
a + b + c = c + a + b
commutative property (x)
Simplify.
-4(3a - 4)
-12a + 16
Simplify.
8 - 5x - 6x
8 - 11x
-11x + 8
-5m = 20
m = -4
Ryan had $20. He spent money on three pens. After buying them he had $8. How much did each pen cost?
$4
What property is used below?
3p x 0 = 0
Multiplicative Property of Zero
Simplify.
10(1 - 4n)
-40n + 10
Add (5x + 6) + (3x - 4)
8x + 2
3x - 4 = 14
x = 6
While at Disney, you bought a pair of Mickey Ears for $24 and three t-shirts. You spent a total of $66. How much was each t-shirt?
$14
What property is used below?
10 ( 3 + y) = 30 + 10y
Distributive Property
Simplify
5(5 - 4w)
-20w + 25
Simplify.
-10(5 + x) - 7x
-50 - 17x
-17x - 50
-2x + 2 = -14
x = 8
Write the equation for the following word problem:
You bought a magazine for $6 and some notebooks for $3 each. You spent a total of $18. How many notepads did you buy?
x=notepads you bought
18 = 3x + 6
What property is used below?
(5 + p) + m = m + (5 + p)
Commutative Property
Which expression is equivalent to 9m + 15?
A) 3(3m + 4)
B) 3(3m + 5)
C) 3(3m + 15)
B) 3(3m + 5)
Simplify.
2(a - 4) + 6a + 3
8a - 5
(f - 9) / -3 = -21
f = 16
Kaci bought soil at Home Depot. She used 10 pounds to fill a hole in her yard. Then she evenly split the remaining soil inot pots with 5 pounds of soil in each pot. How many pots could she fill, if she bought a total of 45 pounds?
7 pots