AnswersAlgebra IISimplifying Polynomial Expressions

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Which expression is equivalent to 3 m times 4 m squared ?

A
48 m cubed
B
12 m cubed
C
48 m squared
D
144 m to the 4th power
3

Which expression shows the first step in simplifying 2 x minus 3 times open paren x plus 2 y close paren minus 5 times open paren y minus 7 x close paren ?

A
2 x plus 3 x plus 6 y plus 5 y minus 35 x
B
2 x minus 3 x minus 6 y minus 5 y plus 35 x
C
2 x minus 8 times open paren x plus 2 y close paren plus open paren y minus 7 x close paren
D
2 x minus 3 minus 5 times open paren 3 y minus 6 x close paren
4

What is the first step to simplify the expression the fraction with numerator 3 times open paren x plus 8 close paren squared and denominator x plus 2 ?

A
divide 8 by 2
B
divide x by x
C
distribute the 3 to the terms inside the parentheses
D
square the binomial inside the parentheses
5

Which expression is equivalent to 6 m plus open paren m minus 2 close paren times open paren m plus 7 close paren plus 3 ?

A
m squared plus 6 m minus 11
B
7 m squared plus 47 m minus 14
C
7 m squared plus 47 m minus 11
D
m squared plus 11 m minus 11
6

Which expression is equivalent to 2 m squared minus m squared times open paren 7 minus m close paren plus 6 m squared ?

A
m cubed plus m squared
B
m squared minus m
C
negative m cubed plus 13 m squared
D
negative m cubed plus m squared
7

Which expression is equivalent to open paren 5 x cubed close paren times 2 x cubed ?

A
1 comma 000 x to the 12th power
B
30 x to the 6th power
C
10 x to the 6th power
D
40 x to the 6th power
8

Which expression is equivalent to the fraction with numerator open paren negative 7 m to the 4th power plus 15 m cubed minus 12 m squared close paren plus open paren 3 m to the 5th power minus 12 m to the 4th power minus 7 m cubed close paren and denominator m minus 6 ?

A
3 m to the 4th power minus m cubed plus 2 m squared
B
3 m to the 5th power minus 19 m to the 4th power plus 8 m cubed minus 12 m squared
C
3 m to the 4th power plus m cubed plus 2 m squared
D
3 m to the 4th power minus 19 m cubed plus 8 m squared minus 12 m
9

What is the first step to simplify the expression 5 x minus x times open paren 2 minus 3 x close paren plus 2 ?

A
square the binomial
B
distribute negative x to the terms inside the parentheses
C
combine all like terms
D
simplify inside the parentheses

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