Chapter 1 – Variables, Expressions, and Integers
Name___________________________
Section 1.1 – Expressions and Variables
pg. 5-9
Objective: Evaluate and write variable expressions.
Vocabulary words
Numerical expression – consists of numbers and operations
Variable – a letter used to represent one or more numbers
Variable expression – consists of numbers, variables, and operations
Evaluate the expression when
and
.
Common words and phrases that indicate operations
Plus, the sum of,
minus, the
increased by, total,
difference of,
more than,
decreased by, *fewer than*,
added to, in all
*less than*, subtracted from
Times, the product
of, multiplied by, of
Write a variable expression to represent the phrase.
divided by, divided
into, the quotient
of
Chapter 1 – Variables, Expressions, and Integers
Section 1.2 – Powers and Exponents pg. 10-13
Objective: Use powers to describe repeated multiplication.
Write the product using an exponent.
Write the power in words and as repeated multiplication. Then evaluate the power.
Evaluate the expression when
and when
.
A store is displaying copies of a new bestselling book. The display is a stack of books that forms a
cube that measures 5 feet on each side. Find the volume of the stack of books.
Chapter 1 – Variables, Expressions, and Integers
Section 1.3 – Order of Operations
pg. 16-20
Objective: Use order of operations to evaluate expressions.
Evaluate the expression.
Evaluate the expression when
,
, and
.
You buy a CD player costing $24.75, three CDs costing $12.99 each, and two packages of batteries
costing $4.86 each. Find the total cost.
Chapter 1 – Variables, Expressions, and Integers
Section 1.4 – Comparing and Ordering Integers
pg. 22-26
Objective: Compare and order integers
Vocabulary words
Integer – the set of whole numbers and their opposites
Absolute value – the distance a number is from zero on a number line
Opposite – two numbers that have the same absolute value but different signs
Copy and complete the statement using ˂ or ˃.
Graph the integers on a number line. Then write the integers in order from least to greatest.
State the absolute value and the opposite of each number.
Evaluate the expression when
.
Chapter 1 – Variables, Expressions, and Integers
Section 1.5 – Adding Integers
pg. 29-33
Objective: Add integers.
Vocabulary Words
Additive inverse – the opposite of a number
Use a number line to find the sum.
Find the sum.
Evaluate the expression when
,
t
. . the temperature as temperature at 2:00 P.M.?
. y
,
, and
.
. . the temperature had risen
.
hat as the
Chapter 1 – Variables, Expressions, and Integers
Section 1.6 – Subtracting Integers
pg. 34-38
Objective: Subtract integers.
Use a number line to find the difference.
To subtract an integer, add its opposite.
Use the keep-change-change rule! (KCC)
(
)
(
Find the difference.
Evaluate the expression when
.
)
Chapter 1 – Variables, Expressions, and Integers
Section 1.7 – Multiplying and Dividing Integers
pg. 42-46
Objective: Multiply and divide integers.
Vocabulary words:
Mean – the sum of the values divided by the number of values.
Find the product or quotient.
Herbie recorded turtles at the following depths, in feet, while he was snorkeling in Kauai. Find the
mean of the depths.
Chapter 1 – Variables, Expressions, and Integers
Section 1.8 – The Coordinate Plane
pg. 47-51
Objective: Identify and plot points in a coordinate
Vocabulary words:
Coordinate plane – formed by the intersection of a horizontal number line called the x-axis and
a vertical number line called the y-axis.
Ordered pair – each point in a coordinate plan is represented by an ordered pair. The first
number is the x-coordinate, and the second number is the y-coordinate.
Scatter plot – uses a coordinate plane to display paired data.
Give the coordinates of the points.
Plot the points in a coordinate plane. Describe the location of the point.
A pizza delivery person recorded the total prices and tips received for one evening. Make a scatter
plot of the data shown in the table and describe any relationship you see.
Total
Tip
Total
Tip
$10
$1
$15
$1.50
$15
$2
$17
$2
$17
$20
$3
$3
$20
$20
$2
$4