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Worksheets

10 - Additional Unit 5 Vocabulary

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

An expression with an exponent that is a fraction, such as m12m^{\frac{1}{2}}  is called a/an

a)

Exponential Equation

b)

Rational Exponent

c)

Radical Expression

d)

Monomial

2.

An expression with that has only one term with a non-negative, integer exponent is called a/an

a)

Exponential Equation

b)

Rational Exponent

c)

Radical Expression

d)

Monomial

3.

An expression that contains a root, such as  34\sqrt{34}  

a)

Exponential Equation

b)

Rational Exponent

c)

Radical Expression

d)

Monomial

4.

An equation that uses a variable as a power, such as  7x = 3437^x\ =\ 343   

a)

Exponential Equation

b)

Rational Exponent

c)

Radical Expression

d)

Monomial

5.

In the expression  5x35x^3  , the number 3 is called the

a)

Exponent

b)

Radicand

c)

Base

d)

Coefficient

6.

In the expression  5x35x^3  , the number 5 is called the

a)

Exponent

b)

Radicand

c)

Base

d)

Coefficient

7.

In the expression  5x35x^3  , the variable x  is called the

a)

Exponent

b)

Radicand

c)

Base

d)

Coefficient

8.

This rule states that am×an = a(m+n)a^m\times a^n\ =\ a^{\left(m+n\right)}  


a)

Power of Powers

b)

Power of Products

c)

Product of Powers

d)

Power of Quotients

9.

This rule states that (am)n= a(m×n)\left(a^m\right)^n=\ a^{\left(m\times n\right)}  


a)

Power of Powers

b)

Power of Products

c)

Product of Powers

d)

Power of Quotients

10.

This rule states that (a×b)m= ambm\left(a\times b\right)^m=\ a^mb^m  


a)

Power of Powers

b)

Power of Products

c)

Quotient of Powers

d)

Power of Quotients

11.

This rule states that aman= a(mn)\frac{a^m}{a^n}=\ a^{\left(m-n\right)}  


a)

Zero Exponent Rule

b)

Power of Products

c)

Quotient of Powers

d)

Power of Quotients

12.

This rule states that (ab)m= ambm\left(\frac{a}{b}\right)^m=\ \frac{a^m}{b^m}  


a)

Zero Exponent Rule

b)

Negative Exponent Rule

c)

Quotient of Powers

d)

Power of Quotients

13.

This rule states that a0 = 1a^0\ =\ 1  , so long as a does not equal 0


a)

Zero Exponent Rule

b)

Negative Exponent Rule

c)

Quotient of Powers

d)

Power of Quotients

14.

This rule states that an = 1an ,  and  1an = ana^{-n}\ =\ \frac{1}{a^n}\ ,\ \ and\ \ \frac{1}{a^{-n}}\ =\ a^n  , so long as a does not equal 0


a)

Zero Exponent Rule

b)

Negative Exponent Rule

c)

Quotient of Powers

d)

Power of Quotients

15.

A number rounded to the nearest power of 10 is called a/an:

a)

Constant

b)

Conjugate

c)

Monomial

d)

Order of Magnitude

16.

A pair of radical binomials, such as ab+cd   and  abcda\sqrt{b}+c\sqrt{d}\ \ \ and\ \ a\sqrt{b}-c\sqrt{d}  is called a/an:


a)

Constant

b)

Conjugate

c)

Monomial

d)

Order of Magnitude

17.

A term that is a real number with no variable factor is called a/an


a)

Constant

b)

Conjugate

c)

Monomial

d)

Order of Magnitude

18.

When we rationalize a denominator, we are making sure

a)

All perfect squares have been factored

b)

All radicals have been removed from the numerator

c)

All radicals have been removed from the denominator

d)

All terms have been simplified

19.

To rationalize the fraction 375\frac{3\sqrt{7}}{\sqrt{5}}  , we would multiply both the numerator and denominator by 


a)

 7\sqrt{7}  

b)

3

c)

 5\sqrt{5}  

d)

21

20.

The conjugate of  4+274+2\sqrt{7}  is


a)

 272\sqrt{7}  

b)

 4+274+2\sqrt{7}  

c)

4

d)

 4274-2\sqrt{7}