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SAT 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. Number Theory

4.1 Divisibility Rules
4.2 Determining Common Factors
4.3 Determining Common Multiples
4.4 Introduction to exponents

5. Adding and Subtracting Fractions

5.1 Using models to add and subtract fractions
5.2 Adding fractions with like denominators
5.3 Subtracting fractions with like denominators
5.4 Adding and subtracting fractions with unlike denominators
5.5 Adding and subtracting mixed numbers

6. Multiplying and Dividing Fractions

6.1 Multiplying fractions and whole numbers
6.2 Dividing fractions with whole numbers
6.3 Multiplying proper fractions
6.4 Multiplying improper fractions and mixed numbers
6.5 Dividing fractions and mixed numbers
6.6 Applications of fraction operations

7. Operation with Decimals

7.1 Adding and subtracting decimals
7.2 Multiplying decimals
7.3 Dividing decimals
7.4 Order of operations (BEDMAS)

8. Fractions, Decimals, and Percents

8.1 Representing percents
8.2 Percent of a number
8.3 Converting among decimals, fractions, and percents
8.4 Applications of percents
8.5 Taxes, discounts, tips and more

9. Ratios, Rates, and Proportions

9.1 Ratios
9.2 Rates
9.3 Proportions

10. Introduction to Variables and Expressions

10.1 Evaluating algebraic expressions

11. Solving Linear Equations

11.1 Solving linear equations using multiplication and division
11.2 Solving two-step linear equations: ax + b = c, x/a + b = c
11.3 Solving linear equations using distributive property: a(x + b) = c
11.4 Solving linear equations with variables on both sides
11.5 Solving literal equations

12. Linear Inequalities

12.1 Express linear inequalities graphically and algebraically
12.2 Solving one-step linear inequalities
12.3 Solving multi-step linear inequalities
12.4 Compound inequalities
12.5 Graphing linear inequalities in two variables

13. Measuring Systems

13.1 Metric systems
13.2 Imperial systems
13.3 Conversions between metric and imperial systems
13.4 Conversions involve squares and cubic

14. Number System

14.1 Understanding the number systems
14.2 Prime factorization
14.3 Greatest Common Factors (GCF)
14.4 Least Common Multiple (LCM)
14.5 Rational vs. Irrational numbers
14.6 Converting repeating decimals to fractions

15. Radicals

15.1 Operations with radicals
15.2 Conversion between entire radicals and mixed radicals
15.3 Adding and subtracting radicals
15.4 Multiplying radicals
15.5 Solving radical equations

16. Exponents

16.1 Exponents: Product rule (a^x)(a^y) = a^(x+y)
16.2 Exponents: Division rule (a^x / a^y) = a^(x-y)
16.3 Exponents: Power rule (a^x)^y = a^(x * y)
16.4 Exponents: Negative exponents
16.5 Exponents: Zero exponent: a^0 = 1
16.6 Exponents: Rational exponents
16.7 Scientific notation
16.8 Convert between radicals and rational exponents
16.9 Solving for exponents
16.10 Solving exponential equations using exponent rules

17. Operations of Polynomials

17.1 What is a polynomial?
17.2 Polynomial components
17.3 Multiplying monomial by monomial
17.4 Multiplying monomial by binomial
17.5 Multiplying binomial by binomial
17.6 Multiplying polynomial by polynomial
17.7 Applications of polynomials

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. Systems of Equations

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 linear equations
20.4 Using substitution method to solve systems of linear equations
20.5 System of linear-quadratic equations

21. Factoring Polynomials

21.1 Factor by taking out the greatest common factor
21.2 Factor by grouping
21.3 Factoring difference of squares: x^2 - y^2
21.4 Factoring trinomials
21.5 Factoring difference of cubes
21.6 Factoring sum of cubes

22. Quadratic Functions

22.1 Introduction to quadratic functions
22.2 Transformations of quadratic functions
22.3 Quadratic function in general form: y = ax^2 + bx + c
22.4 Quadratic function in vertex form: y = a(x-p)^2 + q
22.5 Completing the square
22.6 Converting from general to vertex form by completing the square
22.7 Shortcut: Vertex formula
22.8 Graphing quadratic functions: General form VS. Vertex form
22.9 Finding the quadratic functions for given parabolas
22.10 Applications of quadratic functions

23. Solving Quadratic Equations

23.1 Solving quadratic equations by factoring
23.2 Solving quadratic equations by completing the square
23.3 Using quadratic formula to solve quadratic equations
23.4 Nature of roots of quadratic equations: The discriminant
23.5 Applications of quadratic equations
23.6 Solving quadratic inequalities

24. Rational Expressions

24.1 Simplifying rational expressions and restrictions
24.2 Adding and subtracting rational expressions
24.3 Multiplying rational expressions
24.4 Dividing rational expressions
24.5 Solving rational equations
24.6 Applications of rational equations
24.7 Simplifying complex fractions
24.8 Partial fraction decomposition

25. Function Notation

25.1 Function notation
25.2 Operations with functions
25.3 Adding functions
25.4 Subtracting functions
25.5 Multiplying functions
25.6 Dividing functions
25.7 Composite functions
25.8 Inequalities of combined functions
25.9 Inverse functions
25.10 One to one functions
25.11 Difference quotient: applications of functions

26. Transformations of Functions

26.1 Transformations of functions: Horizontal translations
26.2 Transformations of functions: Vertical translations
26.3 Reflection across the y-axis: y = f(-x)
26.4 Reflection across the x-axis: y = -f(x)
26.5 Transformations of functions: Horizontal stretches
26.6 Transformations of functions: Vertical stretches
26.7 Combining transformations of functions
26.8 Even and odd functions

27. Polynomial Functions

27.1 What is a polynomial function?
27.2 Polynomial long division
27.3 Polynomial synthetic division
27.4 Remainder theorem
27.5 Factor theorem
27.6 Rational zero theorem
27.7 Characteristics of polynomial graphs
27.8 Multiplicities of polynomials
27.9 Imaginary zeros of polynomials
27.10 Descartes' rule of signs

28. Direct and Inverse Variation

28.1 Direct variation

29. Trigonometry with Right Triangles

29.1 Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} )
29.2 Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
29.3 Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} )
29.4 Combination of SohCahToa questions
29.5 Solving expressions using 45-45-90 special right triangles
29.6 Solving expressions using 30-60-90 special right triangles
29.7 Word problems relating ladder in trigonometry
29.8 Word problems relating guy wire in trigonometry
29.9 Other word problems relating angles in trigonometry

30. Trigonometric Ratios and Angle Measure

30.1 Standard angles
30.2 Coterminal angles
30.3 Reference angles
30.4 Find the exact value of trigonometric ratios
30.5 ASTC rule in trigonometry (All Students Take Calculus)
30.6 Unit circle
30.7 Converting between degrees and radians
30.8 Trigonometric ratios of angles in radians
30.9 Radian measure and arc length

31. Law of Sines and Cosines

31.1 Law of sines
31.2 Law of cosines
31.3 Applications of the sine law and cosine law

32. Imaginary and Complex Numbers

32.1 Introduction to imaginary numbers
32.2 Adding and subtracting complex numbers
32.3 Complex conjugates
32.4 Multiplying and dividing complex numbers

33. Angles, Lines, and Transversals

33.1 Pairs of lines and angles
33.2 Parallel lines and transversals
33.3 Parallel line proofs
33.4 Perpendicular line proofs

34. Circles

34.1 Circle and circumference
34.2 Angles in a circle
34.3 Arcs of a circle
34.4 Areas and sectors of circles
34.5 Conics - Circle

35. Surface Area and Volume

35.1 Surface area and volume of prisms
35.2 Surface area and volume of pyramids
35.3 Surface area and volume of cylinders
35.4 Surface area and volume of cones
35.5 Surface area and volume of spheres

36. Statistics

36.1 Median and mode
36.2 Mean
36.3 Range and outliers
36.4 Application of averages

37. Data and Graphs

37.1 Reading and drawing bar graphs
37.2 Reading and drawing histograms
37.3 Reading and drawing line graphs
37.4 Box-and-whisker plots and scatter plots
37.5 Stem-and-leaf plots
37.6 Reading and drawing Venn diagrams

38. Probability

38.1 Determining probabilities using tree diagrams and tables
38.2 Probability of independent events
38.3 Probability with Venn diagrams

38 Chapters · 219 Topics · 1640 Videos

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