Combining Like Terms
2x + 12 - 3x + 5 + 6x
5x + 17
What property is shown below?
23 * 1 = 23
Multiplicative
2(x +3)
2x + 6
x - 9 = 12
x = 21
the number of students increased by 5
x + 5
3y - 4x - y + x
2y - 3x
What property is shown below?
3 + 8 = 8 + 3
Commutative
-5(4x - 8)
-20x + 40
-3 + x = 17
x = 20
10 pizza slices split between a number of friends
10/f
13 + 7 + 9 - x
29 - x
What property is shown below?
45 + 0 = 45
Additive
3(-x + 6)
-3x + 18
3/5x = 6
x = 10
the difference of a number and 6
x - 6
9z + 2x - 4z + y + 3x - 6y
5z + 5x - 5y
What property is shown below?
3 * 5 * 2 * 0 * 8 = 0
Zero
2(x - 7)
2x - 14
t/6 = -3
t = -18
the product of 4 and a number
4n
Caleb worked the following problem:
4x + 16 - 3x - 2 + x
8x + 14
What did Caleb do wrong?
He added 3x instead of subtracting.
Hope says the problem below is an example of the commutative property:
3 + (2 + 7) = (3 + 2) +7
Is she correct and if not what property is shown?
No, Associative
Zoey worked the problem below
-2x(3x + 4)
-6x + -8
Is she correct and if not what is the correct answer?
No, -6x2 - 8x
Drake completed the problem below
-5x = 30
x = 35
Did Drake answer the question correctly and if not what did he do wrong?
No, He added instead of dividing
McKayla wrote the following expression from the phrase " a number tripled and decreased by 2"
3(n -2)
Did she write the expression correctly and if not what should she have written?
No 3n - 2