Edugain
Login/Register
Philippines
Home
School Math
Grade 1
Grade 2
Grade 3
Grade 4
Grade 5
Grade 6
Grade 7
Grade 8
Grade 9
Grade 10
Competitive Exams
SAT Subject Test: Math Level 1
SASMO
SEAMO
IMO
Olympiad
Challenge
Articles
My Edugain
Account Type
For Students/Parents
For Teachers
For Schools
Subscription Type
Edugain Advantage
Edugain Free Trial
Edugain Free User
Edugain Admin
Edugain Advantage
Edugain Online Advantage
Edugain Print Advantage
Edugain Teacher Advantage
Teacher Online Advantage
Teacher Print Advantage
Teacher Premium Advantage
My Actions
Learning Dashboard
Account Settings
My Alerts
Search
×
×
Modal title
Submit
Score
Certificate
Report
Share
<
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
>
Report an issue
Answer
Solution
×
Practice
×
Your test/worksheet
×
Your test/worksheet
×
Your Score
×
Discuss/Report a question
Question
Answer
Quick summary of problem/doubt
Detailed comments/doubts about this question
Post in Q&A forum
Report to Edugain
Cancel
×
Share a question
Question
Answer
×
Confirm
×
Assignment Remarks
Remarks/Comments
Give Accolades
🙌
⭐
👍
Release Score
Cancel
Submit
Home
Grade 9
Number System
Real Numbers
Real Numbers: Mixed Operations (Simplification)
Simplify Expressions Using the Laws of Radicals
Grade 9 Philippines School Math
Simplify Expressions Using the Laws of Radicals
Online Practice
Start New Online Practice Session
Online Tests
Start New Online test
Printable Worksheets and Tests
New Worksheet
Master this topic as part of
Real Numbers: Mixed Operations (Simplification)
Grade 9
1.
Number System
1.1.
Rational and Irrational Numbers
1.1.1.
Understand the Concept
1.1.2.
Equivalent Rational Numbers
1.1.3.
Represent Rational Numbers on the Number Line
1.1.4.
Find Rational Numbers Between Given Rational Numbers
1.1.5.
Without Actual Division Identify Terminating Decimals
1.1.6.
Relate Rational Numbers and Decimals
1.1.6.1.
Express Rational Numbers as Terminating and Recurring Decimals
1.1.6.2.
Express Terminating Decimals as Fractions
1.1.6.3.
Express Recurring Decimals as Fractions
1.1.7.
Represent Irrational Numbers on the Number Line
1.1.8.
Find Irrational Numbers Between Given Rational Numbers
1.1.9.
Identify Rational and Irrational Numbers
1.2.
Real Numbers
1.2.1.
Addition and Subtraction of Real Numbers
1.2.2.
Multiplication and Division of Real Numbers
1.2.3.
Real Numbers: Mixed Operations (Simplification)
1.2.3.1.
Simplify and Find Values of Expressions using Rationalization
1.2.3.2.
Simplify Expressions Using the Laws of Radicals
2.
Polynomials
2.1.
Identify Polynomial Expressions
2.2.
Identify the Degree of a Polynomial
2.3.
Identify Coefficients in a Polynomial
2.4.
Evaluate Polynomials
2.5.
Zeros of a Polynomial
2.6.
Square of Binomials
2.7.
Cube of Binomials and Cubic Polynomials
2.8.
Remainder Theorem
2.9.
Factor Theorem
2.10.
Factorization of Polynomials
2.10.1.
Factorization by Taking out the Common Factor
2.10.2.
Factorization by Grouping
2.10.3.
Factoring the Difference of Two Squares
2.10.4.
Factorization of Quadratic Polynomials
2.10.5.
Factorization Using the Identity for Square of a Trinomial
2.10.6.
Factorization of Sum or Difference of Cubes
2.10.7.
Factorization of Degree 3 Polynomials
2.11.
Polynomials in Equations
2.12.
Evaluate Polynomials Using Algebraic Identities
3.
Geometry
3.1.
Introduction to Euclid's Geometry
3.1.1.
Axioms, Theorems and Corollaries
3.1.2.
Understand the Concept and Properties of a Point, Line Segment, Ray, Line, and Plane
3.1.3.
Euclid's Axioms and Postulates
3.1.4.
Parallel, Concurrent and Intersecting Lines
3.2.
Angles and Lines
3.2.1.
Understand the Concept of Angles and Terms Related to Angles
3.2.2.
Interior and Exterior Points of an Angle
3.2.3.
Categorize Angles on the Basis of Their Measures
3.2.4.
Angles Around a Point
3.2.5.
Complementary and Supplementary Pairs of Angles
3.2.6.
Adjacent Angles, Vertically Opposite Angles, and Linear Pair of Angles
3.2.7.
Parallel Lines, Transversal, and Angles Formed
3.3.
Triangles
3.3.1.
Classification of Triangles on the Basis of its Sides and Angles
3.3.2.
Theorems and Problems Related to Side and Angle Measures of Triangles
3.3.3.
Congruence of Triangles
3.3.3.1.
Congruence: Understand the Meaning
3.3.3.2.
Criteria for Congruence of Triangles
3.3.3.3.
Problems Related to Congruence of Triangles
3.3.4.
Inequalities in a Triangle
3.4.
Quadrilaterals and Parallelograms
3.4.1.
Understand the Concept of Quadrilaterals and Related Terms
3.4.2.
Theorems and Problems Related to the Angles of a Quadrilateral
3.4.3.
Theorems and Problems Related to Parallelograms
3.4.4.
Intercept Theorem and Midpoint Theorem
3.4.4.1.
Intercept Theorem (Thales Theorem, or Basic Proportionality Theorem) and Related Problems
3.4.4.2.
Midpoint Theorem and Related Problems
3.5.
Circles
3.5.1.
Terms Related to Circles
3.5.2.
Theorems and Problems Related to Chord Properties of Circles
3.5.3.
Theorems and Problems Related to Congruent Circles
3.5.4.
Theorems and Problems Related to Angles Subtended by Arcs/Chords
3.5.5.
Theorems and Problems Related to Cyclic Quadrilaterals
3.5.6.
Problems Related to Circumcircles and In-circles
4.
Coordinate Geometry
4.1.
Understand the Terms Related to Coordinate Geometry
4.2.
Identify the Coordinates of a Point on the Cartesian Plane
4.3.
Identify the Coordinates of the Points on the X-axis, Y-axis, and the Origin
4.4.
Identify the Quadrant of a Point
4.5.
Draw the Graphs of Linear Equations
4.6.
Higher Order Thinking Skills (HOTS) Related to the Cartesian Plane
5.
Linear Equations in Two Variables
5.1.
Verify a Solution to a Linear Equation in Two Variables
5.2.
Find the Unknown Variable When the Equation of the Line and Several Conditions are Given
5.3.
Draw Graph of Linear Equations and Find the Unknown Variable
5.4.
Draw Graph of Some Special Type of Linear Equations
5.5.
Word Problems
6.
Mensuration
6.1.
Measurement of Areas
6.1.1.
Measuring Areas of Triangles
6.1.1.1.
Area of a Triangle Using Base and Altitude
6.1.1.2.
Area of a Triangle Using Heron's Formula
6.1.2.
Measuring Areas of Quadrilaterals
6.1.2.1.
Area of a Quadrilateral
6.1.2.2.
Area of a Parallelogram
6.1.2.3.
Area of a Rhombus
6.1.2.4.
Area of a Trapezium
6.1.2.5.
Area of a Quadrilateral Using Heron's Formula
6.1.2.6.
Application of Results on Area of Polygonal Regions
6.2.
Volume and Surface Area
6.2.1.
Volume and Surface Area of Cuboids and Cubes
6.2.2.
Volume and Surface Area of Cylinders
6.2.3.
Volume and Surface Area of Circular Cones
6.2.4.
Volume and Surface Area of Spheres, Hemispheres and Spherical Shells
6.2.5.
Mixed Problems on Volume and Surface Area
7.
Statistics and Probability
7.1.
Statistics
7.1.1.
Frequency Distribution of an Ungrouped Data
7.1.2.
Cumulative Frequency Table of an Ungrouped Data
7.1.3.
Bar Graph
7.1.3.1.
Drawing Bar Graphs
7.1.3.2.
Interpreting Bar Graphs
7.1.4.
Histogram
7.1.4.1.
Histogram When the Frequency Distribution is Exclusive
7.1.4.2.
Histogram When the Frequency Distribution is Inclusive
7.1.4.3.
Histogram When the Class Intervals are of Unequal Size
7.1.5.
Frequency Polygons
7.1.5.1.
Frequency Polygons when the Frequency Distribution is Exclusive
7.1.5.2.
Frequency Polygons when the Frequency Distribution is Inclusive
7.1.6.
Histograms and Frequency Polygons on a Single Graph
7.1.7.
Mean, Median, and Mode
7.1.7.1.
Mean
7.1.7.1.1.
Arithmetic Mean of Numerical Data
7.1.7.1.2.
Word Problems on Mean
7.1.7.1.3.
Mean for Ungrouped Frequency Distributions
7.1.7.1.3.1.
Direct Method for Finding Mean
7.1.7.1.3.2.
Assumed-Mean Method
7.1.7.1.3.3.
Step-Deviation Method for Finding Mean
7.1.7.2.
Median
7.1.7.2.1.
Median of Numerical Data
7.1.7.2.2.
Median of Discrete Series
7.1.7.3.
Mode
7.1.7.3.1.
Mode of Ungrouped Data
7.1.7.3.2.
Empirical Formula for Calculating Mode
7.2.
Probability
7.2.1.
Calculate Probability for Events in Random Experiments
Back to top
×
×
Edugain Login
×
Welcome to Edugain personalized math learning system.
Find thousands of math skills. Do online practice, take tests, and print unlimited customized worksheets.
Continue with Google
Continue with Microsoft
Other methods
Continue with Facebook
Continue with Email
Go back
Login using
Forgot Password?
Go back
Continue as Student/Parent
Continue as Teacher
Go back
Register using
Select your grade
Grade 1
Grade 2
Grade 3
Grade 4
Grade 5
Grade 6
Grade 7
Grade 8
Grade 9
Grade 10
Grade 11
Grade 12
Go back
×
Select your country
Global
Australia
Bahrain
Bangladesh
Brazil
Cambodia
Canada
China
Europe
France
Germany
Hong Kong
India
Indonesia
Ireland
Italy
Jamaica
Japan
Kuwait
Malaysia
Mauritius
Mexico
Nepal
Netherlands
Oman
New Zealand
Pakistan
Philippines
Qatar
Russia
S Korea
Saudi Arabia
Singapore
South Africa
Sri Lanka
Thailand
Turkey
UAE
UK
USA
Vanuatu
Vietnam
Philippines
Global
Australia
Bahrain
Bangladesh
Brazil
Cambodia
Canada
China
Europe
France
Germany
Hong Kong
India
Indonesia
Ireland
Italy
Jamaica
Japan
Kuwait
Malaysia
Mauritius
Mexico
Nepal
Netherlands
Oman
New Zealand
Pakistan
Qatar
Russia
S Korea
Saudi Arabia
Singapore
South Africa
Sri Lanka
Thailand
Turkey
UAE
UK
USA
Vanuatu
Vietnam