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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 #133 : Monomials

Multiply the following monomial quotients:

$3x\cdot 6x$

Possible Answers:

$18x^{2}$

$9x^{2}$

12x

Correct answer:

$18x^{2}$

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$3\cdot6=18$

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

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

Combine these to get the final answer:

$18x^{2}$

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Example Question #32 : How To Multiply Monomial Quotients

Multiply the following monomial quotients:

$6x\cdot 4x^{2}$

Possible Answers:

$24x^{2}$

$24x^{3}$

$12x^{3}$

10x

Correct answer:

$24x^{3}$

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$6\cdot4=24$

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:

$24x^{3}$

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Example Question #32 : How To Multiply Monomial Quotients

Multiply the following monomial quotients:

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

Possible Answers:

$6x^{7}$

$6x^{10}$

$6x^{3}$

$5x^{7}$

Correct answer:

$6x^{7}$

Explanation:

To solve this problem, split it into two steps:

1. Multiply the coefficients

$2\cdot3=6$

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:

$6x^{7}$

Report an Error

Example Question #33 : How To Multiply Monomial Quotients

Multiply the following monomial quotiemts:

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

Possible Answers:

$28x^{4}$

$28x^{3}$

$11x^{4}$

$28x^{2}$

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:

$28x^{4}$

Report an Error

Example Question #31 : How To Multiply Monomial Quotients

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 #34 : How To Multiply Monomial Quotients

Multiply the following monomial quotients:

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

Possible Answers:

13x

$40x^{2}$

$40x^{4}$

$40x^{3}$

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:

$40x^{3}$

Report an Error

Example Question #32 : How To Multiply Monomial Quotients

Multiply the following monomial quotients:

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

Possible Answers:

$42x^{3}$

$42x^{2}$

$13x^{3}$

13x

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:

$12x^{7}$

Report an Error

Example Question #4801 : Algebra 1

Multiply the following monomial quotients:

$9x\cdot 10$

Possible Answers:

90x

19x

$19x^{2}$

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 #35 : How To Multiply Monomial Quotients

Multiply the following monomial quotients:

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

Possible Answers:

$16x^{5}$

$48x^{5}$

16x

$48x^{6}$

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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Algebra 1 : Variables

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #133 : Monomials

Example Question #32 : How To Multiply Monomial Quotients

Example Question #32 : How To Multiply Monomial Quotients

Example Question #33 : How To Multiply Monomial Quotients

Example Question #31 : How To Multiply Monomial Quotients

Example Question #34 : How To Multiply Monomial Quotients

Example Question #32 : How To Multiply Monomial Quotients

Example Question #37 : How To Multiply Monomial Quotients

Example Question #4801 : Algebra 1

Example Question #35 : How To Multiply Monomial Quotients

All Algebra 1 Resources

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