Use the following example to answer the question.
Antoine goes to the mall to buy new shoes and jerseys. He pays a set rate per pair of shoes and a set rate per jersey, and he pays more per jersey than he pays per pair of shoes. His total spending can be modeled by the equation 35x+55y
. Which of the statements correctly interprets a part of the expression?
Statement #1: Antoine spends $35.00 per pair of shoes.
Statement #2: Antoine spends $55.00 per pair of shoes.
Statement #3: Antoine spends $35.00 in total for shoes.
Statement #3: Antoine spends $35.00 in total for shoes.
Use the Commutative Property of Multiplication to rewrite the algebraic expression: k17⋅z33
.
The Commutative Property of Multiplication states that the order of the factors does not affect the product. Therefore, we can rearrange the factors in any order without changing the result.
Using the Commutative Property of Multiplication, we can rewrite the expression as:
17k ⋅ 33z
Which expression correctly demonstrates the Commutative Property of Multiplication?(1 point)
A. 15(x+4)=15(x⋅4)
B. x+4+15=15+4+x
C. 15⋅x⋅4=4+15+x
D. 15⋅(x)⋅4=4⋅15⋅(x)
D. 15⋅(x)⋅4=4⋅15⋅(x)
Write an equivalent expression to (a⋅b)⋅c using the Associative Property of Multiplication.
The Associative Property of Multiplication states that the grouping of factors does not affect the result of the multiplication.
Using the Associative Property of Multiplication, we can rewrite the expression as:
a⋅(b⋅c)
Which expression is equivalent to −3x−5?
A. −1+3x−(2x+6)
B. −1+(x−4x)+6
C. (x−7)+(2−4x)
D. (−4x−6)+(2+5x)
D. (-4x-6) + (2+5x)
How to use Distributive Property, to find the an expression that is equivalent to 4x3+8x2+12x
?