Name the property
What property is shown?
8.2 + 2.5 = 2.5 +8.2
Commutative Property
5 ⋅ 5 ⋅ 5 ⋅5
Twice the sum of x and 30
2(x+30)
5(16-4) + 15
75
3k + 12 ÷ 2 when k =6
24
What property is shown?
2(5+3)=2•5+ 2•3
Distributive Property
Write 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 in standard form.
46
20 less than twice a number.
2j -20
10 ⋅ 2 + 6 ÷ 3 - (20 - 4)
6
12x - 7 when x = 5
53
What property is shown?
2 + 0 = 2
Identity property
Solve
63
216
15 more than the quotient of n and 10.
n/10 + 15
27 - 23 ⋅ 3 + 10
13
33 - 2 ⋅ 36 ÷ x when x=6
15
Are the expressions equivalent? If so, what property justifies it?
10(a + 2) = 10a + 20
Yes, Distributive Property
Write the power as an expanded numerical expression, then evaluate the expression.
seven cubed
7 ⋅ 7 ⋅ 7 = 343
Three squared plus the difference of 35 and a number.
32 + (35-y)
6 + 10 ⋅ 21 ÷ (13-6)
36
7(4x - 25) when x=7
21
Are the expressions equivalent? If so, what property justifies it?
4(3 ⋅ 5) = (4 ⋅ 3) ⋅ 5
Yes, Associative property of multiplication
Write the expanded expression as a power, then evaluate the power.
3.5 ⋅3.5
3.52 = 12.25
Write an expression to represent admission to a movie theater at the cost of $15.00 per ticket (t).
Evaluate your expression when t = 4.
15t = 60
$60
Insert parentheses to make the expression true.
6 + 9 ⋅ 3 - 2 = 43
(6 + 9) ⋅ 3 - 2 = 43
7 ⋅ 2 + 5 ⋅ h when h=10
64