
Rationalize Dominators Warmup
Authored by Michelle McFerren
Mathematics
9th - 12th Grade
CCSS covered
Used 4+ times

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6 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
18
32
Answer explanation
The conjugate of a binomial expression of the form a + b is a - b. Here, a is 5 and b is \sqrt{7}. Therefore, the conjugate of 5 + \sqrt{7} is 5 - \sqrt{7}, which is the correct answer.
Tags
CCSS.HSN.CN.A.3
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
18
Answer explanation
The conjugate of an expression of the form a - b is a + b. Here, a is 6 and b is 3√2, so the conjugate is 6 + 3√2, which matches the first answer choice.
Tags
CCSS.HSN.CN.A.3
3.
DROPDOWN QUESTION
2 mins • 1 pt
Multiply:
(a) + (b) - (c) - (d)
unnecessary blank
Answer explanation
To solve the expression, combine the terms correctly. The correct answer is 8, as it results from the proper addition and subtraction of the given values.
Tags
CCSS.HSN.RN.A.2
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Definition of math Conjugate?
The conjugate of a complex number is obtained by doubling its imaginary part.
The conjugate of a complex number is obtained by changing the sign of its imaginary part.
The conjugate of a complex number is the same as the original number.
The conjugate of a complex number is obtained by changing the sign of its real part.
Answer explanation
The correct choice states that the conjugate of a complex number is obtained by changing the sign of its imaginary part. For example, for the complex number a + bi, its conjugate is a - bi.
Tags
CCSS.HSN.CN.A.3
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which Expression is a Monomial?
A single term like 3x or 5.
4xy - 5y + 6
2x + 3
x^2 + 7
Answer explanation
A monomial is defined as a single term, which can be a number, a variable, or a product of numbers and variables. The correct choice, 'A single term like 3x or 5,' fits this definition, while the other options contain multiple terms.
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which Expression is a Binomial?
x - y + 1
xy
x^2 + y^2
x + y
Answer explanation
A binomial is an expression with exactly two terms. The expression 'x + y' has two terms, making it a binomial. In contrast, 'x - y + 1' has three terms, 'xy' is a single term, and 'x^2 + y^2' has two terms but is not a binomial.
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