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GED Math Test Prep Topics

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1. Understanding Integers

1.1 Place values
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 Ratios
10.2 Rates
10.3 Proportions

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=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
19.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
19.3 Slope equation: m=y2−y1x2−x1m = \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−y1=m(x−x1)y - y_1 = m (x - x_1)
19.7 Rate of change
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 Line symmetry
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 Scale diagrams
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 Metric systems
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 Mean
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

36 Chapters · 188 Topics · 1493 Videos

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We recommend 4-8 weeks depending on your current level, with 30-60 minutes of daily practice. The diagnostic will pace you based on where you start.

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