AnswersAlgebra IISimplifying Polynomial Expressions

Simplifying Polynomial Expressions — Quiz Answers

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What is the correct order of operations for simplifying the expression 2 minus 3 x plus 5 plus 7 times open paren y minus 5 x close paren squared plus x ?

A
distribute 7 inside the parentheses, square the binomial, and then combine like terms
B
square the binomial, combine like terms, and then distribute 7 inside the parentheses
C
combine like terms, square the binomial, and then distribute 7 inside the parentheses
D
square the binomial, distribute 7 inside the parentheses, and then combine like terms
2
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What is the first step in simplifying the expression 11 x minus 2 minus 3 times open paren 1 minus 7 x close paren squared divided by open paren x plus 1 close paren ?

A
multiply the binomial by 3
B
square the binomial
C
subtract open paren x plus 1 close paren from open paren 11 x minus 2 close paren
D
divide the binomial by open paren x plus 1 close paren
3

Which expression is equivalent to 9 x to the 5th power plus 3 x open paren 4 x to the 4th power minus 3 x squared close paren squared ?

A
48 x to the 9th power plus 9 x to the 5th power minus 9 x to the 4th power
B
48 x to the 9th power minus 72 x to the 7th power plus 36 x to the 5th power
C
48 x to the 9th power plus 36 x to the 5th power
D
48 x to the 9th power minus 24 x to the 6th power plus 9 x to the 5th power plus 9 x to the 4th power
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 x by x
B
distribute the 3 to the terms inside the parentheses
C
divide 8 by 2
D
square the binomial inside the parentheses
6

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

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
distribute negative x to the terms inside the parentheses
B
simplify inside the parentheses
C
combine all like terms
D
square the binomial
9

Which expression is equivalent to 7 A cubed open paren 6 A squared plus A close paren squared minus 4 A to the 6th power ?

A
252 A to the 7th power plus 80 A to the 6th power plus 7 A to the 5th power
B
252 A to the 7th power plus 84 A to the 6th power plus 7 A to the 5th power
C
252 A to the 7th power minus 4 A to the 6th power plus 7 A to the 5th power
D
252 A to the 7th power minus 4 A to the 6th power plus A squared
10

Which statement best describes Parker’s error?

A
He made a division error.
B
He combined the constants incorrectly.
C
He distributed negative 5 incorrectly.
D
He combined the variable terms incorrectly.

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