Vocabulary
Parts of an algebraic expression
terms
19 added to a number g
g + 19
a + 7
a = 6
6 + 7
13
Name the property:
3 + (6 + z) = (3 + 6) + z
Associative Property of Addition
3(1 + 4)
3(1) + 3(4)
3 + 12
15
Number attached to a variable
coefficient
The difference of a number c and 12
c - 12
27 - f
f = 13
27 - 13
14
4 + 5 = 5 + 4
Commutative Property of Addition
5(8 - 6)
5(8) - 5(6)
40 - 30
10
Term without a variable
constant
The quotient of a number h and 10
h ÷ 10
g ÷ 6
g = 48
48 ÷ 6
8
5 * 0 = 0
Multiplication Property of Zero
7(r + 12)
7(r) + 7(12)
7r + 84
Expressions with the same value
equivalent expressions
The sum of 23 and a number a
23 + a
2r + 5s
r = 6, s = 4
2(6) + 5(4)
12 + 20
32
a + 0 = a
Addition Property of Zero
4(11 - 3k)
4(11) - 4(3k)
44 - 12k
An expression that may contain numbers, operations, and one or more symbols
5 less than a number d
d - 5
8x - 3y + 6z
x = 5, y = 2, z = 3
8(5) - 3(2) + 6(3)
40 - 6 + 18
34 + 18
52
3 * 1 = 3
Multiplication Property of One
9(3m + 4) - 20
9(3m) + 9(4) - 20
27m + 36 - 20
27m + 16