Name ______________________________________
Period ________
Date ________________
Unit 3 Test Study Guide: Rational Numbers
This study guide will list skills and vocabulary that you should know for the test. (Vocab is on pg.6)
This study guide is not meant to be your ONLY study resource… this is a STARTING POINT to
prepare for the test. If the examples and practice problems make sense to you, you probably don’t need
to spend much time reviewing that section’s notes. If you struggle to understand or complete the
examples, or don’t understand the skill, you should spend some good time reviewing your notes from
the section, asking a friend to study with you, practicing additional problems, going back to homework
from the section, using IXL.com, etc..
Skill: Find the absolute value of a number
Find the value of each number:
|−3.56| =
|−402| =
1
|6 2| =
|0| =
2
− |−5 3| =
|75.9| =
Skill: Identify the opposite of a number
1
1.
2.
1
Skill: Compare rational numbers using < , > , and =
Skill: Order rational numbers from least to greatest or greatest to least
1.
2. Order the fish from greatest elevation to least elevation.
*Hint: greatest elevation is “highest” … closest to the surface !
Greatest Elevation ____________
____________
____________
____________ Least Elevation
Skill: Accurately graph rational numbers on a number line
Graph each number on the number line below. Choose a scale for the number line that works best for
you.
1
1
2.01
-32
-1
44
0.75
-4.9
2
Skill: Use a vertical number line to represent altitude/elevation
Recognize that 0 usually represents sea level; above sea level is positive; below sea level is negative.
Write the elevation of all the objects in the picture
at the right as a rational number.
plane ___________ submarine ___________
whale ___________
mountain climber ___________
fish ___________
Skill: Find the coordinates of a point
Write the coordinates of each point listed as an ordered pair.
3
Skill: Graph a point on the coordinate plane
Skill: Use coordinates to determine in what quadrant a point is located
H is in quadrant I because both the x and y coordinates are positive
X is in quadrant III because both the x and y coordinates are negative
Z is in quadrant IV because the x coordinate is positive and the y
coordinate is negative
4
Skill: Graph the reflection of a point over the x-axis, y-axis, or both axes
reflection over x-axis
Point A is located at (
reflection over y-axis
,
reflection over both x- and yaxes
A
)
1. Graph the reflection of point A over the x-axis.
Label it with a “B.”
a. The coordinates of point B are
______________.
2. Graph the reflection of point A over the y-axis.
Label it with a “C.”
a. The coordinates of point C are
______________.
Skill: Write the coordinates of the reflection of a point over the x-axis, y-axis, or both axes
5
Skill: Find the length of a horizontal or vertical line on a graph
1- when the line crosses the x- or y-axis
̅̅̅̅
Find the length of 𝐴𝐵
̅̅̅̅
Find the length of 𝐴𝐶
2- when the line lies completely in only one quadrant
̅̅̅̅
Find the length of 𝐶𝐷
̅̅̅̅
Find the length of 𝐵𝐶
6
Unit 3 Vocabulary:
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








absolute value
rational number
integer
ordered pair
coordinate
axis
origin
coordinate plane / coordinate grid
quadrant
polygon
IXL skills by GRADE:
Rational Numbers
Grade 6.B.9 Decimal number lines
Grade 6.C.1 Understanding Integers
Grade 6.C.3 Number lines with integers
Grade 6.Y.9 Working with temperatures above and below zero
Grade 6.C.2 Absolute value and opposite integers
Grade 6.D.3 Absolute value of rational numbers
Grade 7.D.3 Absolute value and opposite integers
Grade 7.H.3 Absolute value of rational numbers
Grade 7.D.5 Integer inequalities with absolute values
Comparing / Ordering
Grade 4.T.10 Compare decimal numbers
Grade 5.C.8 Put decimal numbers in order
Grade 4.Q.5 Compare fractions
Grade 6.C.4 Compare and order integers
Grade 6.D.1 Compare rational numbers
Grade 6.D.2 & 6.T.10 Put rational numbers in order
Coordinate Graphing
Grade 5.R.1 Coordinate graphs review- whole numbers only
Grade 6.Q.1 Coordinate graphs review
Grade 5.R.3 Graph points on a coordinate plane
Grade 6.Q.2 Graph points on a coordinate plane
Grade 5.R.2 Coordinate graphs with decimals and negative numbers
Grade 5.R.4 Coordinate graphs as maps
Grade 6.Q.3 Coordinate graphs as maps
Grade 7.Q.5 Reflections: find the coordinates
Grade 7.Q.4 Reflections: graph the image
other
Grade 4.A.9
Grade 4.T.6
Grade 4.T.7
Grade 4.P.17
Grade 6.Q.4
Grade 3.R.20
Compare numbers up to billions
Convert fractions and mixed numbers to decimals
Convert decimals to fractions and mixed numbers
Perimeter
Distance between two points
Polygons
**If your IXL shows “levels,” turn the page 
7
IXL skills by LEVEL:
Rational Numbers
Level H B.9 Decimal number lines
Level H C.1 Understanding Integers
Level H C.3 Number lines with integers
Level H Y.9 Working with temperatures above and below zero
Level H C.2 Absolute value and opposite integers
Level H D.3 Absolute value of rational numbers
Level I D.3 Absolute value and opposite integers
Level I D.5 Integer inequalities with absolute values
Level I H.3 Absolute value of rational numbers
Coordinate Graphing
Level G R.1 Coordinate graphs review- whole numbers only
Level H Q.1 Coordinate graphs review
Level G R.3 Graph points on a coordinate plane
Level H Q.2 Graph points on a coordinate plane
Level G R.2 Coordinate graphs with decimals and negative numbers
Level G R.4 Coordinate graphs as maps
Level H Q.3 Coordinate graphs as maps
Level I Q.5 Reflections: find the coordinates
Level I Q.4 Reflections: graph the image
Comparing / Ordering
Level F T.10 Compare decimal numbers
Level G C.8 Put decimal numbers in order
Level F Q.5 Compare fractions
Level H C.4 Compare and order integers
Level H D.1 Compare rational numbers
Level H D.2 & Level H T.10 Put rational numbers in order
other
Level F
Level F
Level F
Level F
Level H
Level E
A.9
T.6
T.7
P.17
Q.4
R.20
Compare numbers up to billions
Convert fractions and mixed numbers to decimals
Convert decimals to fractions and mixed numbers
Perimeter
Distance between two points
Polygons
8