Identify the terms in the algebraic expression below:
5x + 2y + 7
5x, 2y, 7
a + b = b + a
Commutative Property of Addition
The sum of a number and 14
x + 14
12a - 3a
9a
2a + 8
2 (a + 4)
Identify the variables in the algebraic expression below:
20a + b - c + 5
a, b, c
(7 x 5)(11) = (7)(5 x 11)
Associative Property of Multiplication
15 less than a number c
c - 15
4a + 7 + 5a + 3b - 4 - b
9a + 2b + 3
15x - 35
5(3x - 7)
Identify the constant(s) in the algebraic expression below:
12x + 22 + 6z
22
a + 0 = a
Addition Property of Zero (also called the Identity Property of Addition)
The quotient of 3 and a number z
3/z
3(8a - 2)
24a - 6
48r + 24
12(4r + 2)
Identify the coefficients in the algebraic expression below:
5a + 6b + c - 3
5, 6, 1
7(1) = 7
Multiplication Property of One (Also called the Identity Property of Multiplication)
Evaluate the expression 5c + 12, when c = 4
5(4) + 12 = 32
50(2a + b)
100a + 50b
48p + 20p
4p(12 + 5)
Identify the coefficient and constant in the algebraic expression below:
7c - 10
Coefficient: 7
Constant: -10
6(2a + 3) = 12a + 18
The Distributive Property
Evaluate the expression 2x - y + 3z, when x = 10, y = 4, and z = 11
2(10) - 4 + 3(11) = 49
2a + 12a + 27 = 14a + 27
36a - 12
12(3a - 1)