Unit 8

Question 1

Rational Expression

Answer 1

Ratio of two polynomial expressions

Question 2

Steps to Simplify a Rational Equation

Answer 2

1. Factor everything that can be
2. Simplify the monomials using exponent rules
3. Eliminate common binomial factors

Question 3

Dividing Rational Expressions

Answer 3

Multiply by the recipricol

Question 4

Steps to Simplify Complex Fractions With Multiple Denominator Fractions

Answer 4

1. Find LCD
2. Multiply each term by LCD/1 to clear fractions
3. Simplify if possible

Question 5

Variation

Answer 5

A special relationship between variables

Question 6

Variation Models

Answer 6

Direct variation
Joint variation
Inverse variation

Question 7

Direct Variation

Answer 7

y=kx
y is directly proportional to x

Question 8

Joint Variation

Answer 8

y=kxz
y varies jointly as x and z

Question 9

Inverse Variation

Answer 9

y=k/z
y is inversely proportional to x

Question 10

Constant of Variation

Answer 10

k

Question 11

Combined Variation

Answer 11

A relationship that contains both direct and inverse variation

Question 12

Excluded Values

Answer 12

Values that make denominator of rational expressions equal to zero or undefined

Question 13

Always Remember To

Answer 13

Check your solution

Question 14

h

Answer 14

Is the horizontal shift
Positive shifts right
Negative shifts left

Question 15

k

Answer 15

Is the vertical shift
Positive shifts up
Negative shifts down

Question 16

|a|>1

Answer 16

Represents a vertical stretch

Question 17

0<|a|<1

Answer 17

Represents a vertical compression

Question 18

Positive a

Answer 18

Hyperbola in quadrant I and III

Question 19

Negative a

Answer 19

Hyperbola in quadrant II and IV

Question 20

Rational Functions

Answer 20

A function of the form f(x)=p(x)/q(x)

Question 21

p(x) and q(x) are

Answer 21

Polynomials such that q(x)≠0

Question 22

Top>Bottom

Answer 22

No H.A.

Question 23

Top<Bottom

Answer 23

y=0

Question 24

Top=Bottom

Answer 24

Divide the leading co-efficient

Question 25

Hole

Answer 25

A point at which there is a break in the graph

Question 26

Hole Occurs When

Answer 26

There is common factor between the numerator and denominator

Question 27

ALWAYS CHECK FOR MORE SIMPLIFYING

Answer 27

GCF
DIFFERENCE OF SQUARES
PLEASEEE

Question 28

REMEMBER

Answer 28

When there is addition/subtraction, you can’t cross cancel

Question 29

PLEASE

Answer 29

LOOK FOR GCF
CHECK ANSWERS
K STAYS NOT X
SOLVE TO MAKE VARIATION CORRECT