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Algebra 1 : Monomials

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

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Example Question #32 : How To Multiply Monomial Quotients

Multiply the following monomial quotiemts:

$4x^{3}\cdot 7x$

Possible Answers:

$28x^{3}$

$28x^{4}$

$11x^{4}$

$28x^{2}$

Correct answer:

$28x^{4}$

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$4\cdot7=28$

2. Multiply the variables. We also need to remember the following laws of exponents rule: When multiplying variables, add the exponents.

$x^{3}\cdot x=x^{3+1}=x^{4}$

Combine these to get the final answer:

$28x^{4}$

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Example Question #562 : Variables

Multiply the following monomial quotients:

$9x\cdot 6$

Possible Answers:

54x

15x

Correct answer:

54x

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$9\cdot6=54$

2. Combine this with the lone variable to get the final answer:

54x

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Example Question #35 : How To Multiply Monomial Quotients

Multiply the following monomial quotients:

$8x^{2}\cdot 5x$

Possible Answers:

$40x^{4}$

$40x^{2}$

13x

$40x^{3}$

Correct answer:

$40x^{3}$

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$8\cdot5=40$

2. Multiply the variables. We also need to remember the following laws of exponents rule: When multiplying variables, add the exponents.

$x^{2}\cdot x=x^{2+1}=x^{3}$

Combine these to get the final answer:

$40x^{3}$

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Example Question #36 : How To Multiply Monomial Quotients

Multiply the following monomial quotients:

$6x\cdot 7x^{2}$

Possible Answers:

13x

$42x^{2}$

$42x^{3}$

$13x^{3}$

Correct answer:

$42x^{3}$

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$6\cdot7=42$

2. Multiply the variables. We also need to remember the following laws of exponents rule: When multiplying variables, add the exponents.

$x\cdot x^{2}=x^{1+2}=x^{3}$

Combine these to get the final answer:

$42x^{3}$

Report an Error

Example Question #37 : How To Multiply Monomial Quotients

Multiply the following monomial quotients:

$3x^{5}\cdot 4x^{2}$

Possible Answers:

$4x^{7}$

$12x^{10}$

$12x^{7}$

$7x^{7}$

Correct answer:

$12x^{7}$

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$3\cdot4=12$

2. Multiply the variables. We also need to remember the following laws of exponents rule: When multiplying variables, add the exponents.

$x^{5}\cdot x^{2}=x^{5+2}=x^{7}$

Combine these to get the final answer:

$12x^{7}$

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Example Question #4801 : Algebra 1

Multiply the following monomial quotients:

$9x\cdot 10$

Possible Answers:

90x

$19x^{2}$

19x

Correct answer:

90x

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$9\cdot10=90$

2. Combine this with the lone variable e to get the final answer:

90x

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Example Question #39 : How To Multiply Monomial Quotients

Multiply the following monomial quotients:

$12x^{2}\cdot 4x^{3}$

Possible Answers:

16x

$48x^{6}$

$48x^{5}$

$16x^{5}$

Correct answer:

$48x^{5}$

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$12\cdot4=48$

2. Multiply the variables. We also need to remember the following laws of exponents rule: When multiplying variables, add the exponents.

$x^{2}\cdot x^{3}=x^{2+3}=x^{5}$

Combine these to get the final answer:

$48x^{5}$

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Example Question #41 : How To Multiply Monomial Quotients

Multiply the following monomial quotients:

$5x\cdot 6x^{3}$

Possible Answers:

$11x^{4}$

$11x^{3}$

$30x^{4}$

$30x^{2}$

Correct answer:

$30x^{4}$

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$5\cdot6=30$

2. Multiply the variables. We also need to remember the following laws of exponents rule: When multiplying variables, add the exponents.

$x\cdot x^{3}=x^{1+3}=x^{4}$

Combine these to get the final answer:

$30x^{4}$

Report an Error

Example Question #41 : How To Multiply Monomial Quotients

Multiply the following monomial quotients:

$11\cdot 3x^{2}$

Possible Answers:

11x

$33x^{2}$

$14x^{2}$

Correct answer:

$33x^{2}$

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$11\cdot3=33$

2. Combine this with the lone variable to get the final answer:

$33x^{2}$

Report an Error

Example Question #42 : How To Multiply Monomial Quotients

Simplify the following:

$\frac{x}{y}\cdot\frac{y}{z}$

Possible Answers:

$\frac{x}{z}$

$\frac{z}{x}$

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

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

Correct answer:

$\frac{x}{z}$

Explanation:

To solve, simply multiply numerators and denominators and then simplify. Thus,

$\frac{x}{y}\cdot\frac{y}{z}=\frac{xy}{yz}=\frac{x}{z}$

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Algebra 1 : Monomials

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #32 : How To Multiply Monomial Quotients

Example Question #562 : Variables

Example Question #35 : How To Multiply Monomial Quotients

Example Question #36 : How To Multiply Monomial Quotients

Example Question #37 : How To Multiply Monomial Quotients

Example Question #4801 : Algebra 1

Example Question #39 : How To Multiply Monomial Quotients

Example Question #41 : How To Multiply Monomial Quotients

Example Question #41 : How To Multiply Monomial Quotients

Example Question #42 : How To Multiply Monomial Quotients

All Algebra 1 Resources

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