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ASVAB Test Prep Topics

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1. Numbers and Relations

1.1 Place value
1.2 Comparing and ordering numbers
1.3 Rounding numbers

2. Number Theory

2.1 Divisibility Rules
2.2 Determining Common Factors
2.3 Determining Common Multiples

3. Adding and Subtracting Integers

3.1 Introduction to integer addition
3.2 Adding integers
3.3 Introduction to integer subtraction
3.4 Subtracting integers
3.5 Application of integer operations

4. Multiplying and Dividing Integers

4.1 Understanding integer multiplication
4.2 Multiplying integers
4.3 Understanding integer division
4.4 Dividing integers
4.5 Applications of integer operations

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. Number System and Radicals

7.1 Understanding the number systems
7.2 Prime factorization
7.3 Greatest Common Factors (GCF)
7.4 Least Common Multiple (LCM)
7.5 Rational vs. Irrational numbers
7.6 Converting repeating decimals to fractions

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 Adding and multiplying percents
8.5 Applications of percents
8.6 Taxes, discounts, tips and more
8.7 Simple interest

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. Introduction to Equations

11.1 Solving one - step equations: x + a = b

12. Solving Linear Equations

12.1 Solving linear equations using multiplication and division
12.2 Solving two-step linear equations: ax + b = c, x/a + b = c
12.3 Solving linear equations using distributive property: a(x + b) = c
12.4 Solving linear equations with variables on both sides
12.5 Solving literal equations

13. Linear Inequalities

13.1 Express linear inequalities graphically and algebraically
13.2 Solving one-step linear inequalities
13.3 Solving multi-step linear inequalities
13.4 Compound inequalities

14. Linear Functions

14.1 Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
14.2 Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
14.3 Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}
14.4 Slope intercept form: y = mx + b
14.5 General form: Ax + By + C = 0
14.6 Point-slope form: y−y1=m(x−x1)y - y_1 = m (x - x_1)
14.7 Rate of change
14.8 Graphing linear functions using table of values
14.9 Graphing linear functions using x- and y-intercepts
14.10 Graphing from slope-intercept form y=mx+b
14.11 Graphing linear functions using a single point and slope
14.12 Word problems of graphing linear functions
14.13 Parallel and perpendicular lines in linear functions
14.14 Applications of linear relations

15. Solving Systems of Linear Equations

15.1 Determining number of solutions to linear equations
15.2 Solving systems of linear equations by graphing
15.3 Using elimination method to solve systems of equations
15.4 Using substitution method to solve systems of equations
15.5 Money related questions in linear equations
15.6 Unknown number related questions in linear equations
15.7 Distance and time related questions in linear equations
15.8 Rectangular shape related questions in linear equations

16. Exponents

16.1 Product rule of exponents
16.2 Quotient rule of exponents
16.3 Power of a product rule
16.4 Power of a quotient rule
16.5 Power of a power rule
16.6 Negative exponent rule
16.7 Combining the exponent rules
16.8 Scientific notation
16.9 Convert between radicals and rational exponents
16.10 Solving for exponents

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. Factoring Polynomial Expressions

18.1 Common factors of polynomials
18.2 Factoring polynomials by grouping
18.3 Solving polynomials with the unknown "b" from x^2 + bx + c
18.4 Solving polynomials with the unknown "c" from x^2 + bx + c
18.5 Factoring polynomials: x^2 + bx + c
18.6 Applications of polynomials: x^2 + bx + c
18.7 Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
18.8 Factoring polynomials: ax2+bx+cax^2 + bx + c
18.9 Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
18.10 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
18.11 Evaluating polynomials
18.12 Using algebra tiles to factor polynomials
18.13 Solving polynomial equations
18.14 Word problems of polynomials

19. Factoring Trinomials

19.1 Factor by taking out the greatest common factor
19.2 Factor by grouping
19.3 Factoring difference of squares: x^2 - y^2
19.4 Factoring trinomials
19.5 Factoring difference of cubes
19.6 Factoring sum of cubes

20. Radicals

20.1 Operations with radicals
20.2 Conversion between entire radicals and mixed radicals
20.3 Adding and subtracting radicals
20.4 Multiplying radicals
20.5 Solving radical equations

21. Rational Expressions

21.1 Simplifying rational expressions and restrictions
21.2 Adding and subtracting rational expressions
21.3 Multiplying rational expressions
21.4 Dividing rational expressions
21.5 Solving rational equations
21.6 Applications of rational equations
21.7 Simplifying complex fractions
21.8 Partial fraction decomposition

22. Reciprocal Functions

22.1 Graphing reciprocals of linear functions
22.2 Graphing reciprocals of quadratic functions

23. Angles, Lines, and Transversals

23.1 Pairs of lines and angles
23.2 Parallel lines and transversals
23.3 Parallel line proofs
23.4 Perpendicular line proofs

24. Scale Factors and Similarity

24.1 Enlargements and reductions with scale factors
24.2 Scale diagrams
24.3 Similar triangles
24.4 Similar polygons

25. Measuring Systems

25.1 Metric systems
25.2 Imperial systems
25.3 Conversions between metric and imperial systems
25.4 Conversions involve squares and cubic

26. Surface Area and Perimeter of Polygons

26.1 Classifying triangles

27. Circles

27.1 Circles and circumference
27.2 Arcs of a circle
27.3 Areas and sectors of circles
27.4 Angles in a circle
27.5 Chord properties in circles
27.6 Tangent properties in circles
27.7 Central and inscribed angles in circles
27.8 Equation of a circle

28. Surface Area and Volume of 3-Dimensional Shapes

28.1 Surface area and volume of prisms
28.2 Surface area and volume of pyramids
28.3 Surface area and volume of cylinders
28.4 Surface area and volume of cones
28.5 Surface area and volume of spheres

29. Statistics

29.1 Median and mode
29.2 Mean
29.3 Range and outliers
29.4 Application of averages

30. Probability

30.1 Determining probabilities using tree diagrams and tables
30.2 Probability of independent events
30.3 Probability with Venn diagrams

31. Exponential Functions

31.1 Exponents: Product rule (a^x)(a^y) = a^(x+y)
31.2 Exponents: Division rule (a^x / a^y) = a^(x-y)
31.3 Exponents: Power rule (a^x)^y = a^(x * y)
31.4 Exponents: Negative exponents
31.5 Exponents: Zero exponent: a^0 = 1
31.6 Exponents: Rational exponents
31.7 Solving exponential equations using exponent rules
31.8 Graphing exponential functions
31.9 Graphing transformations of exponential functions
31.10 Finding an exponential function given its graph

32. Inequalities in Two Variables

32.1 Graphing linear inequalities in two variables
32.2 Graphing systems of linear inequalities
32.3 Graphing quadratic inequalities in two variables
32.4 Graphing systems of quadratic inequalities
32.5 Applications of inequalities
32.6 What is linear programming?
32.7 Linear programming word problems

33. Permutations and Combinations

33.1 Fundamental counting principle
33.2 Factorial notation
33.3 Path counting problems
33.4 Permutation vs. Combination
33.5 Permutations
33.6 Combinations
33.7 Problems involving both permutations and combinations
33.8 Pascal's triangle
33.9 Binomial theorem

33 Chapters · 187 Topics · 1412 Videos

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