Multiplying and Dividing Monomials

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•
Mathematics
•
7th Grade
•
Hard
+4
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a monomial?
Back
A monomial is a polynomial with only one term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers.
2.
FLASHCARD QUESTION
Front
What is the product of two monomials?
Back
To multiply two monomials, multiply their coefficients and add their exponents for like bases.
Tags
CCSS.HSA.APR.A.1
3.
FLASHCARD QUESTION
Front
What is the quotient rule for exponents?
Back
The quotient rule states that when dividing two powers with the same base, subtract the exponent of the denominator from the exponent of the numerator.
Tags
CCSS.8.EE.A.1
4.
FLASHCARD QUESTION
Front
How do you simplify the expression 2(4 + 9w)?
Back
Distribute the 2 to both terms inside the parentheses: 2 * 4 + 2 * 9w = 8 + 18w.
Tags
CCSS.6.EE.A.3
5.
FLASHCARD QUESTION
Front
What is the result of multiplying 3x^2 by 4x^3?
Back
The result is 12x^5, obtained by multiplying the coefficients (3 * 4) and adding the exponents (2 + 3).
Tags
CCSS.HSA.APR.A.1
6.
FLASHCARD QUESTION
Front
How do you divide 12x^5 by 3x^2?
Back
Divide the coefficients (12 / 3 = 4) and subtract the exponents of like bases (5 - 2 = 3), resulting in 4x^3.
Tags
CCSS.HSA.APR.D.6
7.
FLASHCARD QUESTION
Front
What is the degree of a monomial?
Back
The degree of a monomial is the sum of the exponents of its variables.
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