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Algebra 1 : Variables

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #24 : How To Divide Monomial Quotients

Divide the following monomial quotients:

$\frac{15xy^{3}}{5x}$

Possible Answers:

$y^{3}$

$3y^{3}$

3xy

$3x^{2}y$

Correct answer:

$3y^{3}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{15}{5}=3$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x}{x} =x^{1-1}=1$

$\frac{y^{3}}{1}=y^{3}$

Combine these to get the final answer:

$3y^{3}$

Report an Error

Example Question #25 : How To Divide Monomial Quotients

Divide the following monomial quotients:

$\frac{7x^{2}}{14x}$

Possible Answers:

$\frac{x^{2}}2{}$

$\frac{x}{2}$

$2x^{2}$

Correct answer:

$\frac{x}{2}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{7}{14}=\frac{1}{2}$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{2}}{x} =x^{2-1}=x$

Combine these to get the final answer:

$\frac{x}{2}$

Report an Error

Example Question #65 : Monomials

Divide the following monomial quotients:

$\frac{8xy}{2x}$

Possible Answers:

$\frac{4}{y}$

8xy

Correct answer:

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{8}{2}=4$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x}{x} =x^{1-1}=1$

$\frac{y}{1}=y$

Combine these to get the final answer:

Report an Error

Example Question #27 : How To Divide Monomial Quotients

Divide the following monomial quotients:

$\frac{42x^{3}y^{2}}{6xy}$

Possible Answers:

$7x^{2}y$

$6xy^{2}$

7xy

14xy

Correct answer:

$7x^{2}y$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{42}{6}=7$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{3}}{x} =x^{3-1}=x^{2}$

$\frac{y^{2}}{y}=y$

Combine these to get the final answer:

$7x^{2}y$

Report an Error

Example Question #491 : Variables

Divide the following monomial quotients:

$\frac{40x^{3}}{5x}$

Possible Answers:

$7x^{2}$

$8x^{4}$

$8x^{2}$

Correct answer:

$8x^{2}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{40}{5}=8$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{3}}{x} =x^{3-1}=x^{2}$

Combine these to get the final answer:

$8x^{2}$

Report an Error

Example Question #492 : Variables

Divide the following monomial quotients:

$\frac{33x^{2}}{11x}$

Possible Answers:

$3x^{3}$

$3x^{2}$

11x

Correct answer:

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{33}{11}=3$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{2}}{x} =x^{2-1}=x$

Combine these to get the final answer:

Report an Error

Example Question #30 : How To Divide Monomial Quotients

Divide the following monomial quotients:

$\frac{x^{3}y^{2}z}{xy}$

Possible Answers:

$xyz^{2}$

xyz

$x^{2}yz$

Correct answer:

$x^{2}yz$

Explanation:

To solve this problem, divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{3}}{x} =x^{3-1}=x^{2}$

$\frac{y^{2}}{y}=y$

$\frac{z}{1}=z$

Combine these to get the final answer:

$x^{2}yz$

Report an Error

Example Question #492 : Variables

Divide the following monomial quotients:

$\frac{6xy}{3y}$

Possible Answers:

$6xy^{2}$

2xy

Correct answer:

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{6}{3}=2$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x}{1} =x$

$\frac{y}{y}=1$

Combine these to get the final answer:

Report an Error

Example Question #493 : Variables

Divide the following monomial quotients:

$\frac{yz^{2}}{xy^{2}}$

Possible Answers:

$\frac{z^{2}}{xy}$

$\frac{z}{xy}$

$\frac{z}{y}$

xyz

Correct answer:

$\frac{z^{2}}{xy}$

Explanation:

To solve this problem, divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{1}{x} =x^{-1}=\frac{1}{x}$

$\frac{y}{y^{2}}=\frac{1}{y}$

$\frac{z^{2}}{1}=z^{2}$

Combine these to get the final answer:

$\frac{z^{2}}{xy}$

Report an Error

Example Question #4731 : Algebra 1

Divide the following monomial quotients:

$\frac{12x^{2}}{3}$

Possible Answers:

$4x^{2}$

$36x^{2}$

12x

Correct answer:

$4x^{2}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{12}{3}=4$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{2}}{1} =x^{2}$

Combine these to get the final answer:

$4x^{2}$

Report an Error

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Algebra 1 : Variables

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #24 : How To Divide Monomial Quotients

Example Question #25 : How To Divide Monomial Quotients

Example Question #65 : Monomials

Example Question #27 : How To Divide Monomial Quotients

Example Question #491 : Variables

Example Question #492 : Variables

Example Question #30 : How To Divide Monomial Quotients

Example Question #492 : Variables

Example Question #493 : Variables

Example Question #4731 : Algebra 1

All Algebra 1 Resources

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