Properties of Operations
Which property of operation is illustrated below?
(5+7)+2=5+(7+2)
Associative Property
How many terms are in this expression?
6n2+3m3-4t+9
4
An expression is shown.
5a
What is the value of the expression when a=6?
30
Which of the following expressions is equivalent to the expression
a+a+a ?
A. 3+a
B. a3
C. a2+a
D. 3a
Which of the following is an example of the Associative Property of Multiplication?
A. 3+7=7+3
B. (5x4)x2=(4x5)x2
C. 3(2+6)= 6+18
D. (4x2)x7=4x(2x7)
D. (4x2)x7=4x(2x7)
What variable is used in this expression?
8x2+x+3x+7
x
What is the value of the expression below when b=8?
5b-4
36
Combine the like terms to create an equivalent expression:
3n+4+7n+5
10n+9
or
9+10n
Which expression is equivalent to 16x+32
A. 2(8x+16)
B. 3(4x+7)
C. 4(4x+6)
D. 6(3x+6)
A. 2(8x+16)
What is the coefficient in the expression?
15x+23
15
What is the value of the expression below when x=5 and y=2
4x2-10y+3
83
5x+6y+7y+3
5x+13y+3
What property of operations is illustrated below:
15+0=15
Identity Property
What are the constants in this expression?
3x2+4+2x+12
4 and 12
Solve the following expression when d=3, f=2, and m=5
4d+3m-2+7f
39
Combine like terms to find equivalent expression:
3x2+6x-x2+2
2x2+6x+2
Use properties of operations to complete the equivalent expressions.
4x-28
4(__-__)
4(x-7)
What is a coefficient? Give an example.
A coefficient is a number that comes in front of a variable in an algebraic expression.
ex: 5m
Solve the following equation when c=4 and b=2
2b3+5c-5b
26
Simplify the expression:
5x2+6y2+7y+3-5y
5x2+6y2+2y+3