GED Math Test Prep - Pass Your Mathematical Reasoning Test

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GED Math Test Prep Topics

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1. Understanding Integers

1.1

1.2

Comparing and ordering numbers

1.3

Rounding numbers

2. Adding and Subtracting Integers

2.1

Introduction to integer addition

2.2

Adding integers

2.3

Introduction to integer subtraction

2.4

Subtracting integers

2.5

Application of integer operations

3. Multiplying and Dividing Integers

3.1

Understanding integer multiplication

3.2

Multiplying integers

3.3

Understanding integer division

3.4

Dividing integers

3.5

Applications of integer operations

4. Introduction to Variables and Expressions

4.1

Evaluating algebraic expressions

5. Number Theory

5.1

Divisibility Rules

5.2

Prime factorization

5.3

Determining common factors

5.4

Determining common multiples

5.5

Introduction to exponents

5.6

Greatest Common Factors (GCF)

5.7

Least Common Multiple (LCM)

6. Adding and Subtracting Fractions

6.1

Using models to add and subtract fractions

6.2

Adding fractions with like denominators

6.3

Subtracting fractions with like denominators

6.4

Adding and subtracting fractions with unlike denominators

6.5

Adding and subtracting mixed numbers

7. Multiplying and Dividing Fractions

7.1

Multiplying fractions and whole numbers

7.2

Dividing fractions with whole numbers

7.3

Multiplying proper fractions

7.4

Multiplying improper fractions and mixed numbers

7.5

Dividing fractions and mixed numbers

7.6

Applications of fraction operations

8. Operation with Decimals

8.1

Adding and subtracting decimals

8.2

Multiplying decimals

8.3

Dividing decimals

8.4

Order of operations (PEMDAS)

9. Number System and Pattern

9.1

Understanding the number systems

9.2

Rational vs. Irrational numbers

9.3

Converting repeating decimals to fractions

10. Ratios, Rates, and Proportions

10.1

10.2

10.3

11. Percents

11.1

Representing percents

11.2

Percents, fractions, and decimals

11.3

Percent of a number

11.4

Adding and multiplying percents

11.5

Taxes, discounts, tips and more

11.6

Simple interest

12. Solving One- and Two- Step Equations

12.1

Model and solve one-step linear equations: ax = b, x/a = b

12.2

Solving two-step linear equations using addition and subtraction: ax + b = c

12.3

Solving two-step linear equations using multiplication and division: x/a + b = c

12.4

Solving two-step linear equations using distributive property: a(x + b) = c

13. Solving Multi-Step Equations

13.1

Solving linear equations using multiplication and division

13.2

Solving two-step linear equations: ax + b = c, x/a + b = c

13.3

Solving linear equations using distributive property: a(x + b) = c

13.4

Solving linear equations with variables on both sides

13.5

Solving literal equations

14. Linear Inequalities

14.1

Express linear inequalities graphically and algebraically

14.2

Solving one-step linear inequalities

14.3

Solving multi-step linear inequalities

14.4

Compound inequalities

15. Pythagorean Theorem

15.1

Squares and square roots

15.2

Pythagorean theorem

15.3

Estimating square roots

15.4

Using the pythagorean relationship

15.5

Applications of pythagorean theorem

16. Radicals

16.1

Square and square roots

16.2

Cubic and cube roots

16.3

Evaluating and simplifying radicals

16.4

Converting radicals to mixed radicals

16.5

Converting radicals to entire radicals

16.6

Adding and subtracting radicals

16.7

Multiplying and dividing radicals

16.8

Rationalize the denominator

17. Exponents

17.1

Product rule of exponents

17.2

Quotient rule of exponents

17.3

Power of a product rule

17.4

Power of a quotient rule

17.5

Power of a power rule

17.6

Negative exponent rule

17.7

Combining the exponent rules

17.8

Scientific notation

17.9

Convert between radicals and rational exponents

17.10

Solving for exponents

18. Introduction to Relations and Functions

18.1

Relationship between two variables

18.2

Understand relations between x- and y-intercepts

18.3

Domain and range of a function

18.4

Identifying functions

18.5

Function notation

19. Linear Functions

19.1

Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

19.2

Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

19.3

Slope equation:

m = \frac{y_2-y_1}{x_2- x_1}

19.4

Slope intercept form: y = mx + b

19.5

General form: Ax + By + C = 0

19.6

Point-slope form:

y - y_1 = m (x - x_1)

19.7

19.8

Graphing linear functions using table of values

19.9

Graphing linear functions using x- and y-intercepts

19.10

Graphing from slope-intercept form y=mx+b

19.11

Graphing linear functions using a single point and slope

19.12

Word problems of graphing linear functions

19.13

Parallel and perpendicular lines in linear functions

19.14

Applications of linear relations

20. Solving Linear Systems

20.1

Determining number of solutions to linear equations

20.2

Solving systems of linear equations by graphing

20.3

Using elimination method to solve systems of equations

20.4

Using substitution method to solve systems of equations

20.5

Money related questions in linear equations

20.6

Unknown number related questions in linear equations

20.7

Distance and time related questions in linear equations

20.8

Rectangular shape related questions in linear equations

21. Operations of Polynomials

21.1

What is a polynomial?

21.2

Polynomial components

21.3

Multiplying monomial by monomial

21.4

Multiplying monomial by binomial

21.5

Multiplying binomial by binomial

21.6

Multiplying polynomial by polynomial

21.7

Applications of polynomials

22. Factoring Polynomials

22.1

Factor by taking out the greatest common factor

22.2

Factor by grouping

22.3

Factoring difference of squares: x^2 - y^2

22.4

Factoring trinomials

22.5

Factoring Difference of Cubes

22.6

Factoring Sum of Cubes

23. Rational Expressions

23.1

Simplifying rational expressions and restrictions

23.2

Adding and subtracting rational expressions

23.3

Multiplying rational expressions

23.4

Dividing rational expressions

23.5

Solving rational equations

23.6

Applications of rational equations

23.7

Simplifying complex fractions

23.8

Partial Fraction Decomposition

24. Reciprocal Functions

24.1

Graphing reciprocals of linear functions

24.2

Graphing reciprocals of quadratic functions

25. Quadratic Functions

25.1

Introduction to quadratic functions

25.2

Transformations of quadratic functions

25.3

Quadratic function in general form: y = ax^2 + bx + c

25.4

Quadratic function in vertex form: y = a(x-p)^2 + q

25.5

Completing the square

25.6

Converting from general to vertex form by completing the square

25.7

Shortcut: Vertex formula

25.8

Graphing quadratic functions: General form VS. Vertex form

25.9

Finding the quadratic functions for given parabolas

25.10

Applications of quadratic functions

26. Solving Quadratic Equations

26.1

Solving quadratic equations by factoring

26.2

Solving quadratic equations by completing the square

26.3

Using quadratic formula to solve quadratic equations

27. Symmetry and Surface Area

27.1

27.2

Rotational symmetry and transformations

27.3

Surface area of 3-dimensional shapes

28. Scale Factors and Similarity

28.1

Enlargements and reductions with scale factors

28.2

28.3

Similar triangles

28.4

Similar polygons

29. Angles, Lines, and Transversals

29.1

Pairs of lines and angles

29.2

Parallel lines and transversals

29.3

Parallel line proofs

29.4

Perpendicular line proofs

30. Properties of Triangles

30.1

Classifying triangles

30.2

Isosceles and equilateral triangles

31. Circles

31.1

Circle and circumference

31.2

Angles in a circle

31.3

Arcs of a circle

31.4

Areas and sectors of circles

32. Measuring Systems

32.1

32.2

Imperial systems

32.3

Conversions between metric and imperial systems

32.4

Conversions involve squares and cubic

33. Surface Area and Volume

33.1

Surface area and volume of prisms

33.2

Surface area and volume of pyramids

33.3

Surface area and volume of cylinders

33.4

Surface area and volume of cones

33.5

Surface area and volume of spheres

34. Introduction to Probability

34.1

Introduction to probability

34.2

Organizing outcomes

34.3

Probability of independent events

34.4

Comparing experimental and theoretical probability

35. Statistics

35.1

Median and mode

35.2

35.3

Range and outliers

35.4

Application of averages

36. Data and Graphs

36.1

Reading and drawing bar graphs

36.2

Reading and drawing histograms

36.3

Reading and drawing line graphs

36.4

Box-and-whisker plots and scatter plots

36.5

Reading and drawing Venn diagrams

36.6

Stem-and-leaf plots

36.7

Frequency tables and dot plots

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