Algebra 1 Common Core Student Edition, Grade 8-9

Co m m o n Co r e Cu m u l a t i v e

St a n d a r d s Rev i ew

TIPS FOR SUCCESS

Some questions on tests ask

you to perform operations

on radicals. Read the sam ple

question at the right. Then

follow th e tips to answ er it.

TIP 1

Sim plify each radical

expression to see if you

can obtain like radicals.

Which expression is equivalent to

Vl80- V80?

CD 10

C3D 2 V 5

CD 10 V 5

CO 5VIo

ASSESSMENT

TIP 2

For any num ber a > 0,

Va 2 = a. So look for

perfect-square factors

when trying to simplify a

radical.

Thi nk I t Thr ough

Simplify th e expression.

Vl80- V80

= V 3 6 • 5 - Vl6 • 5

= V 3 6 • V 5 - V l 6 • V 5

= 6 V 5 — 4 V 5

= 2V5

The correct answ er is B.

Vocabulary Builder

As you solve test items, you must

understand the meanings of mathematical

terms. Match each term with its

mathematical meaning.

A. square root

B. arithmetic

sequence

C. function

D. l i t e r a l

equation

I. a n u m b e r p attern form ed

by adding a fixed n u m b e r to

each previous term

II. a relation th at pairs each

input value with exactly one

output value

III. an eq u a tio n involving two or

more variables

IV. a n u m b e r a such th at a 2 = b

Sel e ct e d Re sp o n se

Read each question. Then write the letter of the correct

answer on your paper.

1. If th e g raph of th e function y = x 2 - 6 w ere shifted
   3 units down, w hich equation could represent the
   shifted graph?
   CD y = 3x2- 6 C<D y = x 2 - 9
   CJD y = x 2 - 3 CD y = 3x2 - 3


2. W hich o rdered p air is a solution of 3 x — y < 20?
   CD (7, 1 ) C D ( 8 , 0 )
   CD (5,-6) CD (-1 ,-4 )


3. B rianna h as a cylindrical glass th a t is 15 cm tall. I h e
   d iam eter of th e b ase is 5 cm. A bout how m u ch w ater
   can th e glass hold?
   C D 75 cm3 C D 295 cm3
   C D 118 cm3 C D 1178 cm3

658 Chapter 10 Co m m o n Co r e Cu m u l at i v e St an d ar d s Re v i ew