ACCUPLACER Test Prep Help & Practice

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  1. 1Numbers and Relations
    1. 1.1Place value
    2. 1.2Comparing and ordering numbers
    3. 1.3Rounding numbers
  2. 2Number Theory
    1. 2.1Divisibility Rules
    2. 2.2Prime factorization
    3. 2.3Determining Common Factors
    4. 2.4Determining Common Multiples
    5. 2.5Introduction to exponents
  3. 3Adding and Subtracting Integers
    1. 3.1Introduction to integer addition
    2. 3.2Adding integers
    3. 3.3Introduction to integer subtraction
    4. 3.4Subtracting integers
    5. 3.5Application of integer operations
  4. 4Multiplying and Dividing Integers
    1. 4.1Understanding integer multiplication
    2. 4.2Multiplying integers
    3. 4.3Understanding integer division
    4. 4.4Dividing integers
    5. 4.5Applications of integer operations
  5. 5Operations with Decimals
    1. 5.1Adding and subtracting decimals
    2. 5.2Multiplying decimals
    3. 5.3Dividing decimals
    4. 5.4Order of operations (PEMDAS)
  6. 6Fractions, Decimals, and Percents
    1. 6.1Representing percents
    2. 6.2Percent of a number
    3. 6.3Converting among decimals, fractions, and percents
    4. 6.4Adding and multiplying percents
    5. 6.5Applications of percents
    6. 6.6Taxes, discounts, tips and more
    7. 6.7Simple interest
  7. 7Adding and Subtracting Fractions
    1. 7.1Using models to add and subtract fractions
    2. 7.2Adding fractions with like denominators
    3. 7.3Subtracting fractions with like denominators
    4. 7.4Adding and subtracting fractions with unlike denominators
    5. 7.5Adding and subtracting mixed numbers
  8. 8Multiplying and Dividing Fractions
    1. 8.1Multiplying fractions and whole numbers
    2. 8.2Dividing fractions with whole numbers
    3. 8.3Multiplying proper fractions
    4. 8.4Multiplying improper fractions and mixed numbers
    5. 8.5Dividing fractions and mixed numbers
    6. 8.6Applications of fraction operations
  9. 9Introduction to Variables and Expressions
    1. 9.1Evaluating algebraic expressions
  10. 10Introduction to Equations
    1. 10.1Solving one - step equations: x + a = b
  11. 11Solving Linear Equations
    1. 11.1Solving linear equations using multiplication and division
    2. 11.2Solving two-step linear equations: ax + b = c, x/a + b = c
    3. 11.3Solving linear equations using distributive property: a(x + b) = c
    4. 11.4Solving linear equations with variables on both sides
    5. 11.5Solving literal equations
  12. 12Ratios, Rates, and Proportions
    1. 12.1Ratios
    2. 12.2Rates
    3. 12.3Proportions
  13. 13Angles, Lines, and Transversals
    1. 13.1Pairs of lines and angles
    2. 13.2Parallel lines and transversals
    3. 13.3Parallel line proofs
    4. 13.4Perpendicular line proofs
  14. 14Circles
    1. 14.1Circles and circumference
    2. 14.2Arcs of a circle
    3. 14.3Areas and sectors of circles
    4. 14.4Angles in a circle
    5. 14.5Chord properties in circles
    6. 14.6Tangent properties in circles
    7. 14.7Central and inscribed angles in circle
  15. 15Surface Area of 3D Shapes
    1. 15.1Introduction to surface area of 3-dimensional shapes
    2. 15.2Nets of 3-dimensional shapes
    3. 15.3Surface area of prisms
    4. 15.4Surface area of cylinders
  16. 16Symmetry and Surface Area
    1. 16.1Line symmetry
    2. 16.2Rotational symmetry and transformations
    3. 16.3Surface area of 3-dimensional shapes
  17. 17Scale Factors and Similarity
    1. 17.1Enlargements and reductions with scale factors
    2. 17.2Scale diagrams
    3. 17.3Similar triangles
    4. 17.4Similar polygons
  18. 18Pythagorean Theorem
    1. 18.1Squares and square roots
    2. 18.2Pythagorean theorem
    3. 18.3Estimating square roots
    4. 18.4Using the pythagorean relationship
    5. 18.5Applications of pythagorean theorem
  19. 19Statistics
    1. 19.1Median and mode
    2. 19.2Mean
    3. 19.3Range and outliers
    4. 19.4Application of averages
  20. 20Data and Graphs
    1. 20.1Reading and drawing bar graphs
    2. 20.2Reading and drawing histograms
    3. 20.3Reading and drawing line graphs
    4. 20.4Box-and-whisker plots and scatter plots
    5. 20.5Reading and drawing Venn diagrams
    6. 20.6Stem-and-leaf plots
    7. 20.7Frequency tables and dot plots
  21. 21Linear Inequalities
    1. 21.1Express linear inequalities graphically and algebraically
    2. 21.2Solving one-step linear inequalities
    3. 21.3Solving multi-step linear inequalities
    4. 21.4Compound inequalities
  22. 22Introduction to Relations and Functions
    1. 22.1Relationship between two variables
    2. 22.2Understand relations between x- and y-intercepts
    3. 22.3Domain and range of a function
    4. 22.4Identifying functions
    5. 22.5Function notation
  23. 23Linear Functions
    1. 23.1Distance formula: d=(x2x1)2+(y2y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
    2. 23.2Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)
    3. 23.3Slope equation: m=y2y1x2x1m = \frac{y_2-y_1}{x_2- x_1}
    4. 23.4Slope intercept form: y = mx + b
    5. 23.5General form: Ax + By + C = 0
    6. 23.6Point-slope form: yy1=m(xx1)y - y_1 = m (x - x_1)
    7. 23.7Rate of change
    8. 23.8Graphing linear functions using table of values
    9. 23.9Graphing linear functions using x- and y-intercepts
    10. 23.10Graphing from slope-intercept form y=mx+b
    11. 23.11Graphing linear functions using a single point and slope
    12. 23.12Word problems of graphing linear functions
    13. 23.13Parallel and perpendicular lines in linear functions
    14. 23.14Applications of linear relations
  24. 24Linear Equations
    1. 24.1Introduction to linear equations
    2. 24.2Introduction to nonlinear equations
    3. 24.3Special case of linear equations: Horizontal lines
    4. 24.4Special case of linear equations: Vertical lines
    5. 24.5Parallel line equation
    6. 24.6Perpendicular line equation
    7. 24.7Combination of both parallel and perpendicular line equations
    8. 24.8Applications of linear equations
  25. 25Solving Systems of Linear Equations
    1. 25.1Determining number of solutions to linear equations
    2. 25.2Solving systems of linear equations by graphing
    3. 25.3Using elimination method to solve systems of equations
    4. 25.4Using substitution method to solve systems of equations
    5. 25.5Money related questions in linear equations
    6. 25.6Unknown number related questions in linear equations
    7. 25.7Distance and time related questions in linear equations
    8. 25.8Rectangular shape related questions in linear equations
  26. 26Exponents
    1. 26.1Product rule of exponents
    2. 26.2Quotient rule of exponents
    3. 26.3Power of a product rule
    4. 26.4Power of a quotient rule
    5. 26.5Power of a power rule
    6. 26.6Negative exponent rule
    7. 26.7Combining the exponent rules
    8. 26.8Scientific notation
    9. 26.9Convert between radicals and rational exponents
    10. 26.10Solving for exponents
  27. 27Operations with Polynomials
    1. 27.1What is a polynomial?
    2. 27.2Polynomial components
    3. 27.3Multiplying monomial by monomial
    4. 27.4Multiplying monomial by binomial
    5. 27.5Multiplying binomial by binomial
    6. 27.6Multiplying polynomial by polynomial
    7. 27.7Applications of polynomials
  28. 28Factoring Polynomial Expressions
    1. 28.1Common factors of polynomials
    2. 28.2Factoring polynomials by grouping
    3. 28.3Solving polynomials with the unknown "b" from x^2 + bx + c
    4. 28.4Solving polynomials with the unknown "c" from x^2 + bx + c
    5. 28.5Factoring polynomials: x^2 + bx + c
    6. 28.6Applications of polynomials: x^2 + bx + c
    7. 28.7Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
    8. 28.8Factoring polynomials: ax2+bx+cax^2 + bx + c
    9. 28.9Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
    10. 28.10Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
    11. 28.11Evaluating polynomials
    12. 28.12Using algebra tiles to factor polynomials
    13. 28.13Solving polynomial equations
    14. 28.14Word problems of polynomials
  29. 29Factoring Trinomials (Advanced)
    1. 29.1Factor by taking out the greatest common factor
    2. 29.2Factor by grouping
    3. 29.3Factoring difference of squares: x^2 - y^2
    4. 29.4Factoring trinomials
    5. 29.5Factoring difference of cubes
    6. 29.6Factoring sum of cubes
  30. 30Rational Expressions
    1. 30.1Simplifying rational expressions and restrictions
    2. 30.2Adding and subtracting rational expressions
    3. 30.3Multiplying rational expressions
    4. 30.4Dividing rational expressions
    5. 30.5Solving rational equations
    6. 30.6Applications of rational equations
    7. 30.7Simplifying complex fractions
    8. 30.8Partial fraction decomposition
  31. 31Reciprocal Functions
    1. 31.1Graphing reciprocals of linear functions
    2. 31.2Graphing reciprocals of quadratic functions
  32. 32Radicals
    1. 32.1Square and square roots
    2. 32.2Cubic and cube roots
    3. 32.3Evaluating and simplifying radicals
    4. 32.4Converting radicals to mixed radicals
    5. 32.5Converting radicals to entire radicals
    6. 32.6Adding and subtracting radicals
    7. 32.7Multiplying and dividing radicals
    8. 32.8Rationalize the denominator
  33. 33Radicals (Advanced)
    1. 33.1Operations with radicals
    2. 33.2Conversion between entire radicals and mixed radicals
    3. 33.3Adding and subtracting radicals
    4. 33.4Multiplying radicals
    5. 33.5Solving radical equations
  34. 34Quadratic Functions
    1. 34.1Introduction to quadratic functions
    2. 34.2Transformations of quadratic functions
    3. 34.3Quadratic function in general form: y = ax^2 + bx + c
    4. 34.4Quadratic function in vertex form: y = a(x-p)^2 + q
    5. 34.5Completing the square
    6. 34.6Converting from general to vertex form by completing the square
    7. 34.7Shortcut: Vertex formula
    8. 34.8Graphing quadratic functions: General form VS. Vertex form
    9. 34.9Finding the quadratic functions for given parabolas
    10. 34.10Applications of quadratic functions
  35. 35Quadratic Equations and Inequalities
    1. 35.1Solving quadratic equations by factoring
    2. 35.2Solving quadratic equations by completing the square
    3. 35.3Using quadratic formula to solve quadratic equations
    4. 35.4Nature of roots of quadratic equations: The discriminant
    5. 35.5Applications of quadratic equations
    6. 35.6Solving quadratic inequalities
  36. 36Right Triangle Trigonometry
    1. 36.1Use sine ratio to calculate angles and sides (Sin = oh \frac{o}{h} )
    2. 36.2Use cosine ratio to calculate angles and sides (Cos = ah \frac{a}{h} )
    3. 36.3Use tangent ratio to calculate angles and sides (Tan = oa \frac{o}{a} )
    4. 36.4Combination of SohCahToa questions
    5. 36.5Solving expressions using 45-45-90 special right triangles
    6. 36.6Solving expressions using 30-60-90 special right triangles
    7. 36.7Word problems relating ladder in trigonometry
    8. 36.8Word problems relating guy wire in trigonometry
    9. 36.9Other word problems relating angles in trigonometry
  37. 37Laws of sines and cosines
    1. 37.1Law of sines
    2. 37.2Law of cosines
    3. 37.3Applications of the sine law and cosine law
  38. 38Bearings
    1. 38.1Introduction to bearings
    2. 38.2Bearings and direction word problems
    3. 38.3Angle of elevation and depression
  39. 39Sequences and Series
    1. 39.1Arithmetic sequences
    2. 39.2Arithmetic series
    3. 39.3Geometric sequences
    4. 39.4Geometric series
    5. 39.5Infinite geometric series
    6. 39.6Sigma notation
    7. 39.7Arithmetic mean vs. Geometric mean
  40. 40Functions
    1. 40.1Function notation
    2. 40.2Operations with functions
    3. 40.3Adding functions
    4. 40.4Subtracting functions
    5. 40.5Multiplying functions
    6. 40.6Dividing functions
    7. 40.7Composite functions
    8. 40.8Inequalities of combined functions
    9. 40.9Inverse functions
    10. 40.10One to one functions
    11. 40.11Difference quotient: applications of functions
  41. 41Exponential Functions
    1. 41.1Exponents: Product rule (a^x)(a^y) = a^(x+y)
    2. 41.2Exponents: Division rule (a^x / a^y) = a^(x-y)
    3. 41.3Exponents: Power rule (a^x)^y = a^(x * y)
    4. 41.4Exponents: Negative exponents
    5. 41.5Exponents: Zero exponent: a^0 = 1
    6. 41.6Exponents: Rational exponents
    7. 41.7Solving exponential equations using exponent rules
    8. 41.8Graphing exponential functions
    9. 41.9Graphing transformations of exponential functions
    10. 41.10Finding an exponential function given its graph
  42. 42Logarithmic Functions
    1. 42.1What is a logarithm?
    2. 42.2Converting from logarithmic form to exponential form
    3. 42.3Evaluating logarithms without a calculator
    4. 42.4Common logarithms
    5. 42.5Natural log: ln
    6. 42.6Evaluating logarithms using change-of-base formula
    7. 42.7Converting from exponential form to logarithmic form
    8. 42.8Solving exponential equations with logarithms
    9. 42.9Product rule of logarithms
    10. 42.10Quotient rule of logarithms
    11. 42.11Combining product rule and quotient rule in logarithms
    12. 42.12Evaluating logarithms using logarithm rules
    13. 42.13Solving logarithmic equations
    14. 42.14Graphing logarithmic functions
    15. 42.15Finding a logarithmic function given its graph
  43. 43Applications of Exponential and Logarithmic Functions
    1. 43.1Exponential growth and decay by a factor
    2. 43.2Exponential decay: Half-life
    3. 43.3Exponential growth and decay by percentage
    4. 43.4Finance: Compound interest
    5. 43.5Continuous growth and decay
    6. 43.6Logarithmic scale: Richter scale (earthquake)
    7. 43.7Logarithmic scale: pH scale
    8. 43.8Logarithmic scale: dB scale
    9. 43.9Finance: Future value and present value
  44. 44Graphs of Trigonometric Functions
    1. 44.1Sine graph: y = sin x
    2. 44.2Cosine graph: y = cos x
    3. 44.3Tangent graph: y = tan x
    4. 44.4Cotangent graph: y = cot x
    5. 44.5Secant graph: y = sec x
    6. 44.6Cosecant graph: y = csc x
    7. 44.7Graphing transformations of trigonometric functions
    8. 44.8Determining trigonometric functions given their graphs
  45. 45Trigonometric Identities
    1. 45.1Quotient identities and reciprocal identities
    2. 45.2Pythagorean identities
    3. 45.3Sum and difference identities
    4. 45.4Cofunction identities
    5. 45.5Double-angle identities
  46. 46Solving Trigonometric Equations
    1. 46.1Solving first degree trigonometric equations
    2. 46.2Determining non-permissible values for trig expressions
    3. 46.3Solving second degree trigonometric equations
    4. 46.4Solving trigonometric equations involving multiple angles
    5. 46.5Solving trigonometric equations using pythagorean identities
    6. 46.6Solving trigonometric equations using sum and difference identities
    7. 46.7Solving trigonometric equations using double-angle identities
  47. 47Permutations and Combinations
    1. 47.1Fundamental counting principle
    2. 47.2Factorial notation
    3. 47.3Path counting problems
    4. 47.4Permutation vs. Combination
    5. 47.5Permutations
    6. 47.6Combinations
    7. 47.7Problems involving both permutations and combinations
    8. 47.8Pascal's triangle
    9. 47.9Binomial theorem
  48. 48Conics
    1. 48.1Conics - Parabola
    2. 48.2Conics - Ellipse
    3. 48.3Conics - Circle
    4. 48.4Conics - Hyperbola
  49. 49Imaginary and Complex Numbers
    1. 49.1Introduction to imaginary numbers
    2. 49.2Complex numbers and complex planes
    3. 49.3Adding and subtracting complex numbers
    4. 49.4Complex conjugates
    5. 49.5Multiplying and dividing complex numbers
    6. 49.6Distance and midpoint of complex numbers
    7. 49.7Angle and absolute value of complex numbers
    8. 49.8Polar form of complex numbers
    9. 49.9Operations on complex numbers in polar form
  50. 50Introduction to Matrices
    1. 50.1Notation of matrices
    2. 50.2Adding and subtracting matrices
    3. 50.3Scalar multiplication
    4. 50.4Matrix multiplication
    5. 50.5The three types of matrix row operations
    6. 50.6Representing a linear system as a matrix
    7. 50.7Solving a linear system with matrices using Gaussian elimination
  51. 51Determinants and Inverses of Matrices
    1. 51.1The determinant of a 2 x 2 matrix
    2. 51.2The determinant of a 3 x 3 matrix (General & Shortcut Method)
    3. 51.3The inverse of a 2 x 2 matrix
    4. 51.4The inverse of 3 x 3 matrices with matrix row operations
    5. 51.5The inverse of 3 x 3 matrix with determinants and adjugate
    6. 51.62 x 2 invertible matrix
    7. 51.7Solving linear systems using Cramer's Rule
    8. 51.8Solving linear systems using 2 x 2 inverse matrices
  • I need help with algebra review for Accuplacer. How should I start?

    You can first test yourself with this sample Accuplacer test problems to see which areas and topics you need to focus more on. Then, watch our video lessons and work on the practice questions for review and better understanding.

  • What should I expect when taking the College Board Accuplaccer?

    Depending on the test you are taking, there will be 16 to 40 questions in the test. Yet, a breakdown is as follow: Arithmetic section has 17 questions; College-level math section has 20 questions; and Elementary algebra section has 12 questions. No calculators are allowed but you will be provided with one on the screen in the test.

  • How long is the Accuplacer test?

    All Accuplacer are multiple choice tests with no time limits. It is also a computer-adaptive test. The difficulty level of questions given to you changes based on how well you answer the previous ones. Take as much time as you need to best showcase your skills!

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