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 @ _ Nt

St a n d a r d s Rev i ew

Some questions on tests ask you

to simplify an expression. Read

the question at the right. Then

follow the tips to answer it.

TIP 1

Use t he f act t hat a

fraction can 'a z

written in the form

= 4x3 3y5 3 — 6x6 3y4 3

= 4x°y2 - 6x2y'

= 4y2 - 6x3y

Which expression is equivalent to

20x3y5 - 30x6y4o

5 x?y>

CD 4x6y8 - 6x9y7

CD 4y2 - 6x3y

CD -2x6y6

C D 15y2 - 25x3y

TIP 2

When you divide powers t h at

have t he same base, you

su b t r act t h e exponent s.

Think I t Through

Write the expression as a

difference of two fractions. Then

simplify each fraction using the

laws of exponents.

20x3y5 - 30x6y4

5x3y3

20x3y5

5x3y5

30x6y4

5x3y3

Vocabulary Builder

As you solve test items, you must understand

the meanings of mathematical terms. Choose the

correct term to complete each sentence.

A. The quantity b2 - Aac is the (vertex, discriminant)

of the equation ax2 + bx + c = 0.

B. Two lines are {parallel, perpendicular) if their slopes

are negative reciprocals of each other.

C. A (linear, quadratic) equation is an equation that can

be written in the form Ax + By = C, where A, B,

and C are real numbers, and A and B are not both 0.

D. A(n) {rational, exponential) expression is a ratio of

two polynomials.

E. When you {solve, evaluate) an equation, you

are finding the value or values that make the

equation true.

> S e l e c t e d R e s p o n s e

Read each question. Then write the letter of the correct

answer on your paper.

1. Which function describes the tables of values?

X -2 -1

• 0
  
  
  • 1
  
  
  
  

N

Vfix) -3 -1^13 /

CD f{x) = x - 1 CD fix) = x + 1

CD /(x) = 2x CD fix) = 2x + 1

2. What is the factored form of 6 wA + 15m /2?
   CD w2{6w2 + 15)
   CD 3 w2{2w2 + 5)
   CD 3w{2w3 + 5w)
   CD 3 w2{2w2 + 5 w)

720 Ch ap t er 11 Co m m o n Co r e Cu m u l a t i v e St an d ar d s Rev i ew