Algebra 1 Common Core Student Edition, Grade 8-9

Ch ap t er Rev i ew

Co n n ect i n g 8 I G i d e a s an d A n sw e r i n g t he Essen t i al Q u e st i o n s

l Eq u ivalen ce

Rat i o n al ex p r essi o n s can

be represent ed many ways.

When a rat ional expression

is simplified, the numerator

and d enom i nat or have no

common f act or s excep t 1.

Si m p l i f y i n g Ra t i o n a l Ex p r e ssi o n s

(Lesson 11-1)

7y + 21 7(k+ 3)1

y + 3 ~ ,y-K3

= 7

Multiplying, Dividing, Adding,

and Sub t ract i ng Rat i o nal

Ex p r e s s i o n s ( Le s so n s 1 1 - 2 , 1 1 - 3 ,

and 11- 4)

7 5 _ 7 — 5

3x 3x 3x

= 2_

3x

"V

2 Fu n ct i o n s

Rat i o n al f u n ct i o n s h av e

equat ions of t he f orm

« = S=i-The graph

of a rat ional f unct ion may

have vertical and horizontal

asympt ot es.

3 So l v i n g Eq u a t i o n s

an d Inequalities

To isolate the variable in a

rational equation, multiply by

the LCD and then solve the

resulting equation. Check for

ext r aneous sol ut i ons.

Gr ap h i n g Rat i o n al Fu n ct i o n s

(Lesson 11-7)

Inverse Variation (Lesson 11-6)

y

S

_ i

\ I X

—^0! \

_ .-..I..

Solving Rational Equations

(Lesson 11-5)

1 + 1 = 5

2 t 8

8t | i (H)-

4t + 24 = 5t

24 = t

8t|l|

Ch ap t er V o c a b u l a r y

asymptote (p. 706)

constant o f variation fo r an

inverse v a ria tio n (p. 698)

1 e x c l u d e d v a l u e ( p. 6 6 4 )

1 i n v e r s e v a r i a t i o n ( p. 6 9 8 )

rational equation (p. 691)

rational expression (p. 664)

rational fu n ctio n (p. 705)

Choose the correct term to complete each sentence.

1. A value of x for which a rational function f(x) is undefined is a(n) ?.


2. A line that the graph of a function gets closer to as x or y gets larger in absolute
   value is a(n) J_.


3. A(n) ? is a ratio of two polynomial expressions.

c

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