Properties
Which equation illustrates the associative property?
A. x+y=y+x
B. 3(x+2)=3x+6
C. (3+x)+y=3+(x+y)
D. 3+x=0
C. (3+x)+y=3+(x+y)
An example of an algebraic expression is
A. 2x+3=13
B. (2x+1)(x-7)
C. 4x-1=4
D. x=2
B. (2x+1)(x-7)
If x represents a given number, the expression "5 less than twice the given number" is written as
A. 5<2x
B. 5<2+x
C. 2x-5
D. 5-2x
C. 2x-5
What is your new teacher's name?
Mrs. Weeks
Which statement is an illustration of the commutative property of real numbers?
A. 5+3=3+5
B. 5(6+7)=5(6)+5(7)
C. (2+3)+4=2+(3+4)
D. -5+0=-5
A. 5+3=3+5
The expression 2x2-x2 is equivalent to what?
x2
Make an algebraic expression represents 15 less than x divided by 9.
(x/9)-15
What operation is associated with the phrase "less than"?
Subtraction
Which equation is an example of the use of the associative property of addition?
A. x+7=7+x
B. 3(x+y)=3x+3y
C. (x+y)+3=x+(y+3)
D. 3+(x+y)=(x+y)+3
C. (x+y)+3=x+(y+3)
Express in simplest form:
(5a2-3a+8)+(-4a2-1)+(15a+11)
a2+12a+18
Dawn is 3 years older than her sister Sara. If Dawn's age is represented by x, which expression represents Sara's age?
x-3
What operation is associated with the phrase "twice"?
Multiplication (10 Bonus Points if you said x2, 2x, times 2, multiply by 2)
Which property is illustrated by the equation
4x(2x-1)=8x2-4
Distributive Property
If m=3 and v=-4, find the value of mv2.
48
Using the letter n to represent a number, express "four less than twice this number" in terms of n.
2n-4
What is the greatest common monomial factor of 12x2 and 8x3?
4x2
Perform the indicated operation -5(4a-6b).
-20a+30b
Find the value of the expressions 2x2y if x=-1 and y=3
6
The sum of Scott's age and Greg's age is 33 years. If Greg's age is represented by g, Scott's age is represented by what?
33-g
The greatest common factor of 3m2n+12mn2 is
A. 3n
B. 3m
C. 3mn
D. 3mn2
C. 3mn