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# NextGen Accuplacer Math Prep

This guide offers links for each listed topic in preparation for the NextGen Accuplacer Math Exam. Tutoring and Academic Support suggests you work through the **entire unit** available in Kahn Academy. However, many of the smaller topics covered by the exam are listed individually.

Kahn Academy works through a pedagogy called “mastery learning”, where it will let you advance as you master each topic. The NextGen Accuplacer works similarly – as you work through the exam it will ask increasingly difficult questions. The more prep you have done, the further you will get through the exam.

You can begin each topic by taking the Unit Test or Course Challenge. The results of this test will help you identify which areas you should study. We suggest you create an account within Khan Academy to track your progress.

## Arithmetic

- Addition & Subtraction
- Multiplication & Division
- Properties of numbers (full unit)
- Whole numbers and integers
- Least common multiple
- Greatest common factor
- Arithmetic properties (full unit)
- Rounding whole numbers
- Order of operations

## Negative Numbers

- Overview (full unit)
- Ordering negative numbers
- Absolute Values
- Adding negative numbers
- Subtracting negative numbers
- Multiplying & dividing negative numbers
- Place value and rounding

## Fractions

- Overview (full unit)
- Fractions on the number line
- Common denominators
- Adding & subtracting with like denominators
- Mixed numbers
- Adding & subtracting with unlike denominators
- Multiplying fractions
- Multiplying mixed numbers
- Fractions as division
- Dividing fractions by fractions
- Equivalent fractions

## Decimals

- Overview (Full unit)
- Decimals on the number line
- Rounding decimals
- Rewriting decimals as fractions
- Adding decimals
- Subtracting decimals
- Multiplying decimals
- Dividing decimals

## Percent

- Ratios, rates, & percentages (Full unit)
- Equivalent ratios
- Intro to rates
- Intro to percents
- Percent, decimal, fraction conversions

## Rational Numbers

- Irrational numbers (full unit)
- Sums and products of rational and irrational numbers
- Proofs concerning irrational numbers

## Ratio & Proportional Relationships

- Ratios, rates, and proportions (full unit)
- Visualize ratios
- Ratio application
- Constant of proportionality
- Identifying proportional relationships
- Writing & solving proportions

## Measurement & Conversion

## Exponents

- Exponents, radicals, and scientific notation (full unit)
- Square roots
- Cube roots
- Exponent properties
- Negative exponents
- Scientific notation

## Algebraic Expressions

- Variables of expressions (full unit)
- Algebraic thinking (full unit)
- Equations, expressions, and inequalities (full unit)
- Constructing numeric expressions
- Writing algebraic expressions introduction
- Writing basic algebraic expressions word problems
- Algebraic equations basics
- Dependent and independent variables

## Inequalities

## Linear Equations

- Linear equations & graphs (full unit)
- X-intercepts and y-intercepts
- Slope
- Horizontal & Vertical lines
- Intro to slope-intercept form
- Graphing slope-intercept equations
- Writing slope-intercept equations

## Functions

- Functions (full unit)
- Evaluating functions
- Inputs and outputs of a function
- Functions and equations
- Interpreting function notation
- Introduction to the domain and range of a function
- Determining the domain of a function
- Recognizing functions
- Maximum and minimum points
- Interpreting features of graphs
- Average rate of change

## Linear Word Problems

- Linear word problems (full unit)
- Comparing linear functions
- Constructing linear models for real-world relationships
- Linear models word problems

## Probability Sets

- Statistics and probability (full unit)
- Probability models
- Compound events and sample spaces
- Comparing and sampling populations

## Geometry Concepts

- Geometry – basic shapes, surface area (full unit)
- Intro to the coordinate plane
- Quadrilaterals
- Geometry – circles, angles, slicing shapes (full unit)
- Area and circumference of circles
- Area and circumference challenge problems
- Vertical, complementary, and supplementary angles
- Missing angle problems
- Constructing triangles
- Scale drawings
- Volume and surface area word problems

## Systems of Equations

## Descriptive Statistics

## Radical and Rational Equations

## Polynomial Equations

- Polynomials (full unit)
- Adding & subtracting polynomials
- Multiplying monomials by polynomials
- Polynomials word problems
- Arithmetic with polynomials (full unit)

## Factoring

- Factors and multiples (full unit)
- Prime numbers
- Prime factorization
- Factorization (full unit)
- Factoring monomials
- Factoring quadratics
- Factorization (full unit)
- Factoring polynomials by taking common factors
- Evaluating expressions with unknown variables
- Difference of squares
- Perfect squares
- Factoring polynomials with special product forms

## Quadratics

- Quadratics (full unit)
- Quadratic factored form
- Solving quadratics by factoring
- Quadratic standard form

## Exponential and Logarithmic Equations

- Exponentials & logarithms (full unit)
- Properties of logarithms
- Solving exponential equations with logarithms