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ACCUPLACER Test Prep Topics
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1. Numbers and Relations
2. Number Theory
3. Adding and Subtracting Integers
4. Multiplying and Dividing Integers
5. Operations with Decimals
6. Fractions, Decimals, and Percents
7. Adding and Subtracting Fractions
8. Multiplying and Dividing Fractions
9. Introduction to Variables and Expressions
10. Introduction to Equations
11. Solving Linear Equations
12. Ratios, Rates, and Proportions
13. Angles, Lines, and Transversals
14. Circles
15. Surface Area of 3D Shapes
16. Symmetry and Surface Area
17. Scale Factors and Similarity
18. Pythagorean Theorem
20. Data and Graphs
21. Linear Inequalities
22. Introduction to Relations and Functions
23. Linear Functions
23.1 Distance formula:
23.2 Midpoint formula:
23.3 Slope equation:
23.4 Slope intercept form: y = mx + b
23.5 General form: Ax + By + C = 0
23.6 Point-slope form:
23.7 Rate of change
23.8 Graphing linear functions using table of values
23.9 Graphing linear functions using x- and y-intercepts
23.10 Graphing from slope-intercept form y=mx+b
23.11 Graphing linear functions using a single point and slope
23.12 Word problems of graphing linear functions
23.13 Parallel and perpendicular lines in linear functions
23.14 Applications of linear relations
24. Linear Equations
24.1 Introduction to linear equations
24.2 Introduction to nonlinear equations
24.3 Special case of linear equations: Horizontal lines
24.4 Special case of linear equations: Vertical lines
24.5 Parallel line equation
24.6 Perpendicular line equation
24.7 Combination of both parallel and perpendicular line equations
24.8 Applications of linear equations
25. Solving Systems of Linear Equations
25.1 Determining number of solutions to linear equations
25.2 Solving systems of linear equations by graphing
25.3 Using elimination method to solve systems of equations
25.4 Using substitution method to solve systems of equations
25.5 Money related questions in linear equations
25.6 Unknown number related questions in linear equations
25.7 Distance and time related questions in linear equations
25.8 Rectangular shape related questions in linear equations
26. Exponents
26.1 Product rule of exponents
26.2 Quotient rule of exponents
26.3 Power of a product rule
26.4 Power of a quotient rule
26.5 Power of a power rule
26.6 Negative exponent rule
26.7 Combining the exponent rules
26.8 Scientific notation
26.9 Convert between radicals and rational exponents
26.10 Solving for exponents
27. Operations with Polynomials
28. Factoring Polynomial Expressions
28.1 Common factors of polynomials
28.2 Factoring polynomials by grouping
28.3 Solving polynomials with the unknown "b" from x^2 + bx + c
28.4 Solving polynomials with the unknown "c" from x^2 + bx + c
28.5 Factoring polynomials: x^2 + bx + c
28.6 Applications of polynomials: x^2 + bx + c
28.7 Solving polynomials with the unknown "b" from
28.8 Factoring polynomials:
28.9 Factoring perfect square trinomials: (a + b)^2 = a^2 + 2ab + b^2 or (a - b)^2 = a^2 - 2ab + b^2
28.10 Find the difference of squares: (a - b)(a + b) = (a^2 - b^2)
28.11 Evaluating polynomials
28.12 Using algebra tiles to factor polynomials
28.13 Solving polynomial equations
28.14 Word problems of polynomials
29. Factoring Trinomials (Advanced)
30. Rational Expressions
30.1 Simplifying rational expressions and restrictions
30.2 Adding and subtracting rational expressions
30.3 Multiplying rational expressions
30.4 Dividing rational expressions
30.5 Solving rational equations
30.6 Applications of rational equations
30.7 Simplifying complex fractions
30.8 Partial fraction decomposition
31. Reciprocal Functions
32. Radicals
33. Radicals (Advanced)
34. Quadratic Functions
34.1 Introduction to quadratic functions
34.2 Transformations of quadratic functions
34.3 Quadratic function in general form: y = ax^2 + bx + c
34.4 Quadratic function in vertex form: y = a(x-p)^2 + q
34.5 Completing the square
34.6 Converting from general to vertex form by completing the square
34.7 Shortcut: Vertex formula
34.8 Graphing quadratic functions: General form VS. Vertex form
34.9 Finding the quadratic functions for given parabolas
34.10 Applications of quadratic functions
35. Quadratic Equations and Inequalities
36. Right Triangle Trigonometry
36.1 Use sine ratio to calculate angles and sides (Sin = )
36.2 Use cosine ratio to calculate angles and sides (Cos = )
36.3 Use tangent ratio to calculate angles and sides (Tan = )
36.4 Combination of SohCahToa questions
36.5 Solving expressions using 45-45-90 special right triangles
36.6 Solving expressions using 30-60-90 special right triangles
36.7 Word problems relating ladder in trigonometry
36.8 Word problems relating guy wire in trigonometry
36.9 Other word problems relating angles in trigonometry
37. Laws of sines and cosines
38. Bearings
39. Sequences and Series
40. Functions
40.1 Function notation
40.2 Operations with functions
40.3 Adding functions
40.4 Subtracting functions
40.5 Multiplying functions
40.6 Dividing functions
40.7 Composite functions
40.8 Inequalities of combined functions
40.9 Inverse functions
40.10 One to one functions
40.11 Difference quotient: applications of functions
41. Exponential Functions
41.1 Exponents: Product rule (a^x)(a^y) = a^(x+y)
41.2 Exponents: Division rule (a^x / a^y) = a^(x-y)
41.3 Exponents: Power rule (a^x)^y = a^(x * y)
41.4 Exponents: Negative exponents
41.5 Exponents: Zero exponent: a^0 = 1
41.6 Exponents: Rational exponents
41.7 Solving exponential equations using exponent rules
41.8 Graphing exponential functions
41.9 Graphing transformations of exponential functions
41.10 Finding an exponential function given its graph
42. Logarithmic Functions
42.1 What is a logarithm?
42.2 Converting from logarithmic form to exponential form
42.3 Evaluating logarithms without a calculator
42.4 Common logarithms
42.5 Natural log: ln
42.6 Evaluating logarithms using change-of-base formula
42.7 Converting from exponential form to logarithmic form
42.8 Solving exponential equations with logarithms
42.9 Product rule of logarithms
42.10 Quotient rule of logarithms
42.11 Combining product rule and quotient rule in logarithms
42.12 Evaluating logarithms using logarithm rules
42.13 Solving logarithmic equations
42.14 Graphing logarithmic functions
42.15 Finding a logarithmic function given its graph
43. Applications of Exponential and Logarithmic Functions
43.1 Exponential growth and decay by a factor
43.2 Exponential decay: Half-life
43.3 Exponential growth and decay by percentage
43.4 Finance: Compound interest
43.5 Continuous growth and decay
43.6 Logarithmic scale: Richter scale (earthquake)
43.7 Logarithmic scale: pH scale
43.8 Logarithmic scale: dB scale
43.9 Finance: Future value and present value
44. Graphs of Trigonometric Functions
45. Trigonometric Identities
46. Solving Trigonometric Equations
46.1 Solving first degree trigonometric equations
46.2 Determining non-permissible values for trig expressions
46.3 Solving second degree trigonometric equations
46.4 Solving trigonometric equations involving multiple angles
46.5 Solving trigonometric equations using pythagorean identities
46.6 Solving trigonometric equations using sum and difference identities
46.7 Solving trigonometric equations using double-angle identities
47. Permutations and Combinations
49. Imaginary and Complex Numbers
49.1 Introduction to imaginary numbers
49.2 Complex numbers and complex planes
49.3 Adding and subtracting complex numbers
49.4 Complex conjugates
49.5 Multiplying and dividing complex numbers
49.6 Distance and midpoint of complex numbers
49.7 Angle and absolute value of complex numbers
49.8 Polar form of complex numbers
49.9 Operations on complex numbers in polar form
50. Introduction to Matrices
51. Determinants and Inverses of Matrices
51.1 The determinant of a 2 x 2 matrix
51.2 The determinant of a 3 x 3 matrix (General & Shortcut Method)
51.3 The inverse of a 2 x 2 matrix
51.4 The inverse of 3 x 3 matrices with matrix row operations
51.5 The inverse of 3 x 3 matrix with determinants and adjugate
51.6 2 x 2 invertible matrix
51.7 Solving linear systems using Cramer's Rule
51.8 Solving linear systems using 2 x 2 inverse matrices
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What math topics does Accuplacer cover?
Arithmetic, elementary algebra, college-level math, advanced algebra, and quantitative reasoning. StudyPug covers all sections comprehensively.
