Algebra 1 Common Core Student Edition, Grade 8-9

Ch ap t e r Rev i ew

Connecting B IG ideas and Answering the Essential Questions

l Equivalence

One way to represent

numbers is to use exponents.

A number raised to the

0 power is equal to 1.

Zero and Negative Exponents

(Lesson 7-1)

10 ° = 1

1 o - 3 = - ^ 3

103

2 Pr o p e r t i e s

Just as there are properties

th a t describe how to rewrite

expressions involving

addition and multiplication,

there are properties th a t

describe how to rewrite and

simplify exponential and

radical expressions.

Properties of Exponents

(Lessons 7-2, 7-3, and 7-4)

52. 5 4 = 52+4 = 56

(3!)4 = 3H = 3 3

Z!=78-5 = 73

Rational Exponents and

Radicals (Lesson 7-5)

4J = V 4

xS = -tyx

bi = 'X/'jf?

3 Fu n ct i o n

The fam ily o f exponential

functions has equations

o f the form y = a > b x.

They can be used to model

exponential grow th or decay

and to model geometric

sequences.

lr 4

Exponential Functions (Lessons 7-6

and 7-7)

Exponential Growth

Exponential Decay

y = 3

iy

\

-4- 1 \

2 7

V.-£

Geometric Sequences

(Lesson 7-8)

An explicit formula is a function rule

th a t relates each term o f a sequence

to the term number.

A recursive formula is a function rule

th a t relates each term o f a sequence

to the ones before it.

j y P Chapt er Vocabulary

• compound interest (p. 461)


• decay fa c to r (p. 462)


• exponential decay (p. 462)

exponential function (p. 453)

exponential growth (p. 460)

geometric sequence (p. 467)

Choose the correct term to complete each sentence.

1. A is a n u m b e r seq u en ce th a t has a com m on ratio b etw een term s.


2. For a function y— a • bx, where a > 0 and b > 1, b is the


3. For a function y = a • b x, where a > 0 and 0 < b < 1, b is th e 1_.


4. The function y — a • bx m odels ? for a > 0 and b > 1.


5. The function y = a • b x m odels? for a > 0 and 0 < b < 1.

growth factor (p. 460)

index (p. 448)

4 7 4 Chapter 7 Ch ap t er Revi ew