Ace Your ASVAB with Proven Test Prep

Place value

Comparing and ordering numbers

Rounding numbers

Divisibility Rules

Determining Common Factors

Determining Common Multiples

Introduction to integer addition

Adding integers

Introduction to integer subtraction

Subtracting integers

Application of integer operations

Understanding integer multiplication

Multiplying integers

Understanding integer division

Dividing integers

Applications of integer operations

Using models to add and subtract fractions

Adding fractions with like denominators

Subtracting fractions with like denominators

Adding and subtracting fractions with unlike denominators

Adding and subtracting mixed numbers

Multiplying fractions and whole numbers

Dividing fractions with whole numbers

Multiplying proper fractions

Multiplying improper fractions and mixed numbers

Dividing fractions and mixed numbers

Applications of fraction operations

Understanding the number systems

Prime factorization

Greatest Common Factors (GCF)

Least Common Multiple (LCM)

Rational vs. Irrational numbers

Converting repeating decimals to fractions

Representing percents

Percent of a number

Converting among decimals, fractions, and percents

Adding and multiplying percents

Applications of percents

Taxes, discounts, tips and more

Simple interest

Ratios

Rates

Proportions

Evaluating algebraic expressions

Solving one - step equations: <i>x + a = b</i>

Solving linear equations using multiplication and division

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

Solving linear equations using distributive property: <i>a(x + b) = c</i>

Solving linear equations with variables on both sides

Solving literal equations

Express linear inequalities graphically and algebraically

Solving one-step linear inequalities

Solving multi-step linear inequalities

Compound inequalities

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

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

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Slope intercept form: y = mx + b

General form: Ax + By + C = 0

Point-slope form: \(y - y_1 = m (x - x_1)\)

Rate of change

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and slope

Word problems of graphing linear functions

Parallel and perpendicular lines in linear functions

Applications of linear relations

Determining number of solutions to linear equations

Solving systems of linear equations by graphing

Using elimination method to solve systems of equations

Using substitution method to solve systems of equations

Money related questions in linear equations

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

Product rule of exponents

Quotient rule of exponents

Power of a product rule

Power of a quotient rule

Power of a power rule

Negative exponent rule

Combining the exponent rules

Scientific notation

Convert between radicals and rational exponents

Solving for exponents

What is a polynomial?

Polynomial components

Multiplying monomial by monomial

Multiplying monomial by binomial

Multiplying binomial by binomial

Multiplying polynomial by polynomial

Applications of polynomials

Common factors of polynomials

Factoring polynomials by grouping

Solving polynomials with the unknown "b" from <i>x^2 + bx + c</i>

Solving polynomials with the unknown "c" from <i>x^2 + bx + c</i>

Factoring polynomials: <i>x^2 + bx + c</i>

Applications of polynomials: <i>x^2 + bx + c</i>

Solving polynomials with the unknown "b" from \(ax^2 + bx + c\)

Factoring polynomials: \(ax^2 + bx + c\)

Factoring perfect square trinomials: <i>(a + b)^2 = a^2 + 2ab + b^2</i> or <i>(a - b)^2 = a^2 - 2ab + b^2</i>

Find the difference of squares: <i>(a - b)(a + b) = (a^2 - b^2)</i>

Evaluating polynomials

Using algebra tiles to factor polynomials

Solving polynomial equations

Word problems of polynomials

Factor by taking out the greatest common factor

Factor by grouping

Factoring difference of squares: <i>x^2 - y^2</i>

Factoring trinomials

Factoring difference of cubes

Factoring sum of cubes

Operations with radicals

Conversion between entire radicals and mixed radicals

Adding and subtracting radicals

Multiplying radicals

Solving radical equations

Simplifying rational expressions and restrictions

Adding and subtracting rational expressions

Multiplying rational expressions

Dividing rational expressions

Solving rational equations

Applications of rational equations

Simplifying complex fractions

Partial fraction decomposition

Graphing reciprocals of linear functions

Graphing reciprocals of quadratic functions

Pairs of lines and angles

Parallel lines and transversals

Parallel line proofs

Perpendicular line proofs

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Metric systems

Imperial systems

Conversions between metric and imperial systems

Conversions involve squares and cubic

Classifying triangles

Circles and circumference

Arcs of a circle

Areas and sectors of circles

Angles in a circle

Chord properties in circles

Tangent properties in circles

Central and inscribed angles in circles

Equation of a circle

Surface area and volume of prisms

Surface area and volume of pyramids

Surface area and volume of cylinders

Surface area and volume of cones

Surface area and volume of spheres

Median and mode

Mean

Range and outliers

Application of averages

Determining probabilities using tree diagrams and tables

Probability of independent events

Probability with Venn diagrams

Exponents: Product rule <i>(a^x)(a^y) = a^(x+y)</i>

Exponents: Division rule (a^x / a^y) = a^(x-y)

Exponents: Power rule <i>(a^x)^y = a^(x * y)</i>

Exponents: Negative exponents

Exponents: Zero exponent: <i>a^0 = 1</i>

Exponents: Rational exponents

Solving exponential equations using exponent rules

Graphing exponential functions

Graphing transformations of exponential functions

Finding an exponential function given its graph

Graphing linear inequalities in two variables

Graphing systems of linear inequalities

Graphing quadratic inequalities in two variables

Graphing systems of quadratic inequalities

Applications of inequalities

What is linear programming?

Linear programming word problems

Fundamental counting principle

Factorial notation

Path counting problems

Permutation vs. Combination

Permutations

Combinations

Problems involving both permutations and combinations

Pascal's triangle

Binomial theorem