Laws of Exponents
What is the product of -4x3 and 5x2
-20x5
Simplify: (x-3)2
x2-6x+9
Write "the sum of x and 5"
x+5
State the property: a + b = b + a
Commutative
What month did Mrs. Auletta get married in?
July
Simplify: (2x4)2
4x8
(3n+2)(n+3)
3n2+11n+6
Write "5 less than a number n"
n-5
State the property: a + (b+c) = (a+b) +c
Associative
Expression or Equation?
3x+2
Expression
Find the product: 2x2y3 and -5x4y2
-10x6y5
Multiply: (6x + 2)(2x + 8)
12x2 + 52x + 16
Write "twice the sum of x and 10"
2(x+5)
State the property: (2 x 3) x 5 = 2 x (3 x 5)
Associative
Simplify: 3(x-1)-2(x-3)
x+3
Multiply: (x2)(5x4)
5x6
Simplify: (4x + 2)(6x2 − x + 2)
24x3 + 8x2 + 6x + 4
5 times a number, decreased by 2
5x-2
State the property: 3(x+2) = 3x+6
Distributive
Brian claims that 2(x+2)=2x+4 is an example of an expression. Is he correct? Explain why or why not.
No, he is not correct because there is an equals sign which makes it an equation.
Simplify: (2x2y5)3
8x6y15
5x2+8x+2
Translate: "five less than one-fourth of a number"
1/4x - 5
State the property: x(x+6) = x2+6x
Distributive
What are the two types of dogs that Mrs. Auletta has?
Golden Retriever and Maltipoo