Algebra 1 Common Core Student Edition, Grade 8-9

Ch ap t er Rev i ew

Connecting S IG ideas and Answering the Essential Questions

1 E q u i v a l e n c e

Radical expressions can be

represented in many ways.

To sim p lify a square root,

factor out perfect squares

from the radicand.

Simplifying Radicals

(Lesson 10-2)

VU = V4 • V3 = 2 V 3

Operations With Radical Expressions

(Lesson 10-3)

V5 • V10= V50 = 5V2

2 F u n c tio n s

Square root functions contain

a va riable in th e radicand.

The parent square root

fu n c tio n is y = Vx.

Graphing Square Root Functions

(Lesson 10-5)

Graph o f the

parent square

root function

1 y

1 X

of 2

3 S o lv in g E quation s

and Inequalities

To isolate th e va riable in a

radical equation, first isolate

the radical and then square

both sides.

Solving Radical Equations

(Lesson 10-4)

2x= V4x + 3

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

1 an gle o f depression (p. 648)

angle of elevation (p. 648)

conclusion (p. 615)

conditional (p. 615)

conjugates (p. 628)

converse (p. 616)

cosine (p. 645)

extraneous solution (p. 635)

hypotenuse (p. 614)

hypothesis (p. 615)

leg (p. 61 4 )

lik e r a d ic a ls (p. 6 2 6 )

Pythagorean Theorem (p. 614)

radical eq u a tio n (p. 633)

• radical e x p ressio n (p. 619)


• ra tio n a lize th e d e n o m in a to r (p. 622)


• sin e (p. 645)


• sq u are root fu n ction (p. 639)


• ta n g e n t (p. 645)


• tr ig o n o m e tr ic ratios (p. 645)


• u n lik e radicals (p. 626)

Choose the correct term to complete each sentence.

1. Sine, cosine, a n d tan g en t are ?.


2. A(n) J_ is an ap p a ren t solution th a t does n o t m ake th e original eq u a tio n true.


3. The radical expressions 2 V 3 an d 3 V 2 contain


4. You J_ of a radical expression by rew riting it w ith o u t radicals in th e denom inator.


5. The radical expressions 5 + V 5 an d 5 — V 5 are J_.

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Po w er A l g eb r a.co m | C h a p t e r 1 0 Ch ap t er Review 653