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(4x + 2) + (2x + 12)
6x + 14
Identify the property:
7m + 5 = 5 + 7m
State the FULL answer.
Commutative Property of Addition
Find the GCF
24 and 36t
12
Factor:
6x + 30
6 (x + 5)
Simplify the expression if a = -3 and c = 8:
7 + 2c
23
8a – 2b + 9b – 4a
4a + 7b
14xy + 0 = 14xy
Identity Property of Addition
Find the GCF:
35m and 55n
5
Factor:
40x - 12
4 (10x - 3)
Simplify the expression if a = -4 and c = 6:
2a – c
Explain your work!
2(-4) – 6 =
= -8 - 6
= -14
(7x + 6) + (-4x + 10)
3x + 16
Identify the property:
8 + (7 + p) = (8 + 7) + p
Provide the FULL answer.
Associative Property of Addition
Find the GCF:
60xy and 15y
15y
Rewrite using the Distributive Property:
10(-8k + 7)
-80k + 70
Simplify the expression if a = -3 and c = -3:
(2 +c)2
4
Explain your work!
(2 + (-3) )2
4
= (-1)2
4
= 1/4
a. Write a linear expression in simplest form to represent the perimeter of the triangle. (See image)
Double Jeopardy opportunity!
10x + 6
36 cm
2/3 ∙ 3/2
State the answer, the property, and how the property works.
= 1
Inverse Property of Multiplication
A number times its reciprocal is equal to one.
Find the GCF, then factor the expression:
17n - 33m
Double Jeopardy opportunity!
Prime or Cannot factor
m is the GCF.
m(17n - 33)
Rewrite using the Distributive Property:
-5(3b – 2a)
-15b + 10a
Describe two ways to solve. Use one to find the answer.
If j = -4 and k = 5
3 ( j + k)
1) 3 ( -4 + 5) = 3 * 1 = 3
2) 3 ( -4 + 5) = 3 * (-4) + 3 *5 =
Solve BOTH:
(10x + 9) – (4x + 2)
(12x + 4) – (-3x + 9)
6x + 7
15x – 5
-20x + 20x
State the answer, the property, and how the property works. Use proper terminology.
= 0
Inverse Property of Addition
A number plus its opposite is equal to zero.
Challenge question: Find the GCF, then factor. Hint: make it look pretty inside.
-35 - 5k
-5 ( 7 + k )
Rewrite using the Distributive Property:
-6 (3m - 9y)
Solve if a = -3, b = -2, c = -1
a2 b3 c4
Explain your work.
(-3)2 (-2)3 (-1)4
9 * (-8) * 1
= -72