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Chapter
1
Chapter Review
1
Chapter Review
Vocabulary Review
Resources
absolute value (p. 20)
algebraic expression (p. 4)
base (p. 9)
coordinates (p. 24)
coordinate plane (p. 24)
counterexample (p. 18)
dependent variable (p. 28)
domain (p. 29)
equation (p. 5)
evaluate (p. 10)
exponent (p. 9)
function (p. 27)
function rule (p. 27)
independent variable (p. 28)
inequality (p. 19)
integers (p. 17)
irrational numbers (p. 18)
measures of central tendency (p. 40)
mean (p. 40)
median (p. 40)
midpoint (p. 24)
mode (p. 40)
natural numbers (p. 17)
negative correlation (p. 34)
no correlation (p. 34)
open sentence (p. 5)
opposites (p. 20)
ordered pair (p. 24)
order of operations (p. 10)
origin (p. 24)
outlier (p. 40)
positive correlation (p. 34)
power (p. 9)
quadrants (p. 24)
range (p. 42)
range of a function (p. 29)
rational numbers (p. 17)
real numbers (p. 18)
scatter plot (p. 33)
simplify (p. 9)
stem-and-leaf plot (p. 42)
trend line (p. 34)
undefined correlation (p. 34)
variable (p. 4)
whole numbers (p. 17)
x-axis (p. 24)
x-coordinate (p. 24)
y-axis (p. 24)
y-coordinate (p. 24)
Student Edition
Extra Skills and Word
Problems Practice, Ch. 1, p. 724
English/Spanish Glossary, p. 787
Properties and Formulas, p. 782
Table of Symbols, p. 779
Vocabulary and Study Skills
worksheet 1F
Spanish Vocabulary and Study
Skills worksheet 1F
Interactive Textbook Audio
Glossary
Online Vocabulary Quiz
Choose the term that correctly completes each sentence.
1. The (median, mode) is the middle value in the set when the numbers are
arranged in order. median
3. A mathematical phrase that uses numbers, variables, and operation symbols is
an (algebraic expression, equation). algebraic expression
4. The number 2 58 belongs to the set of (irrational, rational) numbers. rational
5. The (absolute value, opposite) of a number is its distance from 0 on a
number line. absolute value
6. You express the fraction of a pizza you have eaten by using a(n) (rational
number, integer). rational number
Spanish Vocabulary/Study Skills
7. In an ordered pair, the first number is the (x-coordinate, y-coordinate), which
tells how far to move to the left or right of the origin as you graph the point
represented by the ordered pair. x-coordinate
8. A (coordinate plane, scatter plot) is a graph that relates data from two different
sets. scatter plot
9. When one set of data increases while another set of data decreases, there is a
(positive correlation, negative correlation) between the two sets of data.
negative correlation
10. Simplify a (power, exponent) by multiplying the base by itself the indicated
number of times. power
11. The (quadrant, origin) is the point where the x- and y-axes intersect. origin
12. A (function, variable) is a relationship that assigns exactly one output value for
each input value. function
Chapter 1 Chapter Review
47
Vocabulary/Study Skills
Name
Class
1D: Vocabulary
ELL
L3
Date
For use with Chapter Review
Study Skill: Many words in English have more than one meaning. Often a
word has one meaning in ordinary conversation, and a different specific
meaning or exact definition when it is used in math or science or
grammar. You can often figure out which meaning to use by looking at the
sentence that contains the word. To help you decide what a word means,
consider the surroundings, or context, in which you see the word.
Read the mathematical definition in the left column and the sentence in
the right column. In the blank in the middle, write the one word from the
list below that fits both the definition and the sentence. The first one is
done for you.
base
natural
real
like
power
term
origin
element
Definition
1. kind of number in a set of
rational and irrational
numbers together
constant
open
Sentence
real
It is a
event.
It actually happened.
2. a term that has no variable
That noise is
.
It just never seems to stop.
3. a number that is multiplied
repeatedly
Put this statue on its
so it will not fall over.
4. the kind of terms that have
exactly the same variable
factors
I really
that kind
of food. It is my favorite.
5. the kind of math sentence
that has one or more variables
The door should be
so the customers can come in.
6. the base and exponent of an
expression of the form an
Turn off the
before you try to repair those
wires.
7. the kind of number you
might use to count rocks
or pencils
Let’s go for a walk by the lake.
I want to enjoy the
world.
8. the point where the axes of
a coordinate plane intersect
What is the
of
that custom? I wonder how it
began.
9. a number, a variable, or the
product of a number and one
or more variables
He will come home from
college at the end of the
.
10. the name of each item in a
matrix
4
Reading and Math Literacy Masters
© Pearson Education, Inc. All rights reserved.
PHSchool.com
For: Vocabulary quiz
Web Code: atj-0151
2. (Evaluate, Simplify) an algebraic expression by substituting a given number for
each variable. Evaluate
One
in water is
oxygen. The other is hydrogen.
Algebra 1
47
21. real numbers, rational
numbers
Skills and Concepts
22. real numbers, irrational
numbers
1-1 and 1-2 Objectives
23. real numbers, rational
numbers
To model relationships
with variables (p. 4)
A variable represents one or more numbers. To evaluate a variable expression, you
substitute a given number for each variable. Then you simplify the expression using
the order of operations.
Order of Operations
To model relationships
with equations and
formulas (p. 5)
24. real numbers, rational
numbers, natural
numbers, whole numbers,
integers
25. real numbers, rational
numbers, natural
numbers, whole numbers,
integers
1. Perform any operation(s) inside grouping symbols.
To simplify and evaluate
expressions and
formulas (p. 9)
2. Simplify powers.
To evaluate expressions
containing grouping
symbols (p. 11)
4. Add and subtract in order from left to right.
3. Multiply and divide in order from left to right.
Define a variable and write an expression for each phrase.
13. the sum of 5 and three times a number Let n ≠ the number; 5 ± 3n.
14. 30 minus a number Let n ≠ the number; 30 – n.
15. the quotient of 7 and a number Let n ≠ the number; n7 .
16. the product of a number and 12 Let n ≠ the number; n(12).
Evaluate each expression. Use a ≠ 3, b ≠ 2, and c ≠ 1.
17. 2a 2 - (4b + c) 18. 9(a + 2b) + c
9
64
1-3 Objectives
To classify numbers
(p. 17)
To compare numbers
(p. 19)
To write a function rule
(p. 27)
To recognize
relationships in
functions (p. 28)
2
20. 4a - b 8
Real numbers can be classified as either rational numbers or irrational numbers. A
rational number, like 58 , is a ratio of two integers. An irrational number, like p or "2,
cannot be written as a ratio of integers. Rational numbers include natural numbers
(1, 2, 3, c), whole numbers (0, 1, 2, 3, c), and integers (c , -2, -1, 0, 1, 2, c).
Name the set(s) of numbers to which each number belongs. 21–25. See margin.
21. -3.21
1-4 Objectives
19. 2a 1 b 4
2
22. "7
23. 2 12
24. 18
25. 35
5
A function is a relationship that assigns exactly one output value for each input
value. A function rule is an equation that describes a functional relationship.
In a functional relationship, the output value depends on the input value. The
variable that describes the input is the independent variable. The variable that
describes the output is the dependent variable.
The possible values for the input, or independent variable, of a function are the
domain of the function. The possible values of the output, or dependent variable,
are the range of the function.
Identify independent and dependent quantities for each situation and find
reasonable domain and range values.
26. Tom has $8.00. He wants to buy oranges which cost $.75 a piece.
money spent; number of oranges bought; $0 to $8.00; 0 to 10 oranges
27. Anna earns $6.50 per hour at her job. She can work up to 18 hours per week.
hours worked; money earned; 0 to 18 hours; $0 to $117
48
48
Chapter 1 Chapter Review
Alternative Assessment
Name
The relationships in the tables below are functions. Write a function rule for
each table.
Class
Date
Alternative Assessment
L4
Form C
Chapter 1
TASK 1
x
y
1
7
29.
To analyze data using
scatter plots (p. 33)
y
1
6
x
y
1
20
2
14
2
9
2
16
3
21
3
12
3
12
4
28
4
15
4
8
In each sentence below, circle the key words or phrases that indicate a
mathematical operation and write the symbol for the operation above the
words or phrases. Write an equation for each sentence.
a. A number multiplied by 8 and divided by four gives 7 more
than the number.
b. Five times a number decreased by eight is equal to thirty-two.
c. The sum of the square of a number and a second number is forty-two.
d. One-third of a number added to itself equals three times the difference
of the number and seven.
TASK 2
Two students write the following expressions to answer an exercise:
y = 24 - 4x
y = 3x + 3
y = 7x
1-5 Objective
x
30.
© Pearson Education, Inc. All rights reserved.
28.
7 + 4(5 - 3) 2 + 9
3
and
9 + (5 - 3) 2 ? 4 + 7.
3
a. Simplify the two expressions. List each step you use.
b. Explain the similarities in the steps.
c. Make up another expression that uses the same numbers and
operations but has a different answer. Then simplify the expression,
listing each step.
A scatter plot is a graph that relates two sets of data. There are four kinds of
relationships that the data may have.
positive correlation:
In general, both sets of data increase together.
negative correlation:
In general, one set of data decreases as the other set
increases.
no correlation:
The data sets are not related.
undefined correlation:
In general, one set of data remains unchanged.
Algebra 1 Chapter 1
37
Form C Test
31. a. Make a scatter plot of the data below. See margin.
Height
(meters)
1.5
1.8
1.7
2.0
1.7
2.1
1.6
1.9
1.9
Arm Span
(meters)
1.4
1.7
1.7
1.9
1.6
2.0
1.6
1.8
1.9
b. Is there a positive correlation, a negative correlation, or no correlation
between the sets of data? positive correlation
1-6 Objectives
To use mean, median,
and mode (p. 40)
To make and use stemand-leaf plots (p. 42)
Mean, median, and mode are three measures of central tendency. The range of a
data set is the difference between the greatest and least items. A stem-and-leaf plot
is a display that organizes the data by showing each item in order.
Find the mean, median, and mode for each set of data.
33. 85, 87, 81, 92, 87, 80, 83 85, 85, 87
33. 24, 45, 33, 27, 24 30.6, 27, 24
34. 2.4, 2.3, 2.1, 2.5, 2.3, 2.2 2.3, 2.3, 2.3
35. 42, 18, 55, 37, 57, 37, 48, 47, 37
42, 42, 37
The stem-and-leaf plot at the right shows kilometers walked during a benefit walk.
Benefit Walk
Use it for Exercises 36–38.
36. Find the mean, median, mode, and range.
37. How many people walked more than 19 km? 6
38. How many people walked less than 17.1 km? 7
Arm Span (meters)
36. 18, 18.4, 19.9, 3.8
31a.
y
(km)
16 1 1 2 3 5 5
17 0 2 2
18 4 5 8 9
19 3 6 7 9 9 9
19 3 means 19.3
2.0
1.6
O
Chapter 1 Chapter Review
49
1.7
2.1 x
Height (meters)
49