Algebra II - Add, subtract, multiply and divide radical expressions

49

The LCD is the variable with the highest exponent *(true = 49 or false = 50)*

6

(18x^3z2 − 6x^2z + 19z) − (16x^3z2 − 5xz + 8z) You must distribute the negative sign among − (16x^3z2 − 5xz + 8z) and be aware that 5xz is not the same as 6x^2z before simplifying *(true = 6 or false = 7)*

7

(18x^3z2 − 6x^2z + 19z) − (16x^3z2 − 5xz + 8z) You must distribute the negative sign among − (16x^3z2 − 5xz + 8z) before simplifying *(true = 6 or false = 7)*

5

(7x^2 − 5x − 6) − (−16x^2 − 4x + 8) You must distribute the negative sign among (7x^2 − 5x − 6) before simplifying *(true = 4 or false = 5)*

4

(7x^2 − 5x − 6) − (−16x^2 − 4x + 8) You must distribute the negative sign among (−16x^2 − 4x + 8) before simplifying *(true = 4 or false = 5)*

9

(x + 8y)^2 suggest that (x+8y)(x+8y) need to be added *(true= 8 or false = 9)*

8

(x + 8y)^2 suggest that (x+8y)(x+8y) need to be multiplied via FOIL method*(true= 8 or false = 9)*

a

*-4x^3 y^4/4x^2 y^2* = *(a)* -xy^2 or *(b)* -1xy^2 *(use a or b as input)*

m-8/m-3

*Answer*

m-9/m-6

*Answer*

t+4/t-4

*Answer*

FOIL

*Identify method*

16

*Identify the dividend*

all real numbers

*Identify the symbol*

not equal to

*Identify the symbol*

rational expression

*Identify type of expression*

binomial

*Identify type of polynomial*

21

In order to find the domain of a rational function, you must set the denominator equal to zero and solve for the variables that need to be included to the domain *(true = 20 or false = 21)*

20

In order to find the domain of a rational function, you must set the denominator not equal to zero and solve for the variables that need to be excluded from the domain *(true = 20 or false = 21)*

reduced

In the following expression, can the denominator be *factored* or *reduced*? : (x-8)/7x-56+3

35

Is 2(n^2 -16) factored completely? *(true = 34 or false = 35)*

23

Like terms are terms that have different variables and powers and unlike terms are two or more terms that are similar, i.e. they have the same variables or powers *(true =22 or false = 23)*

22

Like terms are terms that have the same variables and powers and unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers *(true =22 or false = 23)*

41

Regarding rational equations, after multiplying each term by their LCD, you must combine like terms and manipulate the terms into a quadratic equation so that you can solve for x(s) *(true = 41 or false = 42)*

42

Regarding rational equations, after multiplying each term, you must combine like terms and solve for x only *(true = 41 or false = 42)*

29

Regarding subtracting rational expressions, if the fractions have different denominators then you can subtract them *(true =28 or false =29)*

28

Regarding subtracting rational expressions, if the fractions have the same denominator then you can subtract them *(true =28 or false =29)*

30

Regarding subtracting rational expressions, you need to distribute the negative sign and combine like terms, determine the LCD, and factor completely *(true =30 or false =31)*

31

Regarding subtracting rational expressions, you need to distribute the positive sign and don't combine any terms and determine the GCF, but don't factor completely *(true =30 or false =31)*

14

Simplifying rational expressions often consist of canceling out like terms *(true = 14 or false = 15*

15

Simplifying rational expressions often consist of combining like terms *(true = 14 or false = 15*

50

The LCD is the variable with the lowest exponent *(true = 49 or false = 50)*

36

The concept of rational equations is to eliminate the fractions or rational expressions so that only the variable(s) is left *(true = 36 or false = 37)*

c

The domain of a rational function refers to *(c)* all real numbers excluding the number(s) that would make the denominator zero or *(d)* all non-real numbers including zero. *(use c or d as input)*

13

The only way to divide rational expressions is by reducing the fractional parts *(true = 12 or false = 13)*

7x-53

What does 7x-56+3 *reduce* to?

Subtract

What is the indicated operation before simplifying? (12x − 8) − (6x + 4)

Add

What is the indicated operation before simplifying? (4x + 3) + (5x + 2)

45

When adding or subtracting rational expressions you may need to use FOIL before you combine like-terms *(true =45 or false =46)*

43

When adding rational expressions you may need to reduce the numerator and cancel out like terms *(true =43 or false =44)*

11

When asked to simplify a rational expression this typically means to multiply and add *(true = 10 or false =11)*

10

When asked to simplify a rational expression this typically means to reduce by means of division or multiplication *(true = 10 or false =11)*

0

When reducing a rational expression, the denominator can not be equal to (blank)

(t-2)

Which terms need to be canceled? *(t-2)(t+4)/(t-2)(t-9)*

48

With regards to complex fractions, you must multiply the fractions by the LCD but you don't cancel out the terms they have in common *(true = 47 or false = 48)*

47

With regards to complex fractions, you must multiply the fractions by the LCD. You also need to cancel out the terms they have in common *(true = 47 or false = 48)*

39

With regards to dividing polynomials with long division, you must always use the reminder as the sign of the whole number (positive or negative) over the divisor (expression) *(true = 38 or false = 39)*

38

With regards to dividing polynomials with long division, you need to use the plus symbol (+) when you have a reminder, followed by the whole number over the divisor (expression) *(true = 38 or false = 39)*

40

With regards to multiplying rational expressions, if you have the same term located in the denominator or numerator, you don't cancel it out but write the term as squared as part of the answer *(true = 40 or false =41)*

24

With regards to multiplying rational expressions, you need to factor the numerator and denominator for each fraction and cancel out the like terms. The unlike terms will be the answers to the fractional parts *(true =24 or false = 25)*

32

With regards to simplifying complex fractions, you have to make the denominators the same and multiply them, afterwords you need to flip the 2nd fraction and factor completely *(true =32 or false = 33)*

33

With regards to simplifying complex fractions, you leave the denominators as is and multiply them, and make sure it is factored completely *(true =32 or false = 33)*

1

Determine whether the given expression is a polynomial. 5x2 + 3x − 30 *(true = 1 or false = 2)*

3

Determine whether the given expression is a polynomial. −20m3n − 10m2n2 *(true = 3 or false = 4)*

2

Determine whether the given expression is a polynomial. −5x + 3x−2 − 7 *(true = 1 or false = 2)*

26

Dividing rational expression involves flipping the 2nd fraction and then multiplying *(true =26 or false = 27)*

27

Dividing rational expression only involves multiplying the two fractions *(true =26 or false = 27)*

12

The two ways to divide rational expressions are long division and reducing fractional parts *(true = 12 or false = 13)*

18

All real numbers refers to 1, 15.82, −0.1, 3/4, etc and irrational numbers are √2 (1.41421356 *(true = 18 or false = 19)*