Looking for free ACT Math help?

We have a collection of videos, games, activities and worksheets
that are suitable for the ACT Math Section. The topics covered
are: Pre-Algebra, Elementary Algebra, Intermediate Algebra,
Coordinate Geometry, Plane Geometry, and Trigonometry.

In our lessons here, we shall look at

- Tips and strategies for the ACT.
- Worked solutions for some ACT practice tests.
- Concepts that you will need to know for the ACT Math sections.

Related Topics: More ACT Tips and Prep

What is the ACT? | ACT Tips and Strategies I |

ACT Tips and Strategies II | Can I use a calculator in the ACT? |

ACT vs SAT | Planning Your Testing Calender |

College Admission |

Preparing for the ACT - Download a free student preparation booklet includes test information, complete practice tests with scoring keys, and a writing prompt with sample essays. (also available from most high schools and colleges)

Free Practice Test Questions from the ACT Official Site

The ACT Mathematics Test covers six content areas: pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and trigonometry.

Basic operations on whole numbers, decimals, fractions and integers

Place value for whole numbers and decimals | Order of Operations |

Rational Numbers

What are Rational Numbers? | Comparing & Ordering Rational Numbers |

Multiplying & Dividing Rational Numbers |

Square roots and Approximations

Simplifying square roots | Approximating square roots |

The concept of exponents |

Scientific Notation

Convert from Scientific Notation to Standard Notation | Convert from Standard Notation to Scientific Notation |

Factors Factors, Divisibility Tests, Prime Factorization

Ratio, Proportion and Percents

Ratio and proportion | Percents, Decimals and Fractions |

Percent of a Number | Percent Word Problems |

Linear Equations

Linear equations in one variable | Linear equations with fractions and decimals |

Equations with Infinitely Many Solutions or No Solutions |

Absolute Value

Absolute value | Ordering numbers by value |

Elementary Counting Techniques and Simple Probability

Elementary counting techniques | Simple probability |

Complementary Events |

Data collection

Data representation and interpretation (Charts and Graphs)

Line Graphs | Bar Graphs |

Circle Graphs | Interpret Line Graphs |

Interpret Circle Graphs | Understanding simple descriptive statistics (Mean, Median, Mode) |

Properties of exponents and square root

Positive, Zero and Negative Exponents | Exponent Rules |

Fractional Powers, Fractional Exponents, Rational Exponents |

Algebraic Expressions

Evaluation of algebraic
expressions through substitution

Using variables to express functional relationships

Understanding algebraic operations

The solution of quadratic equations by factoring

Solve
Quadratic Equations by Factoring

ACT Questions - Elementary Algebra

An understanding of the quadratic formula

Solve Quadratic Equations using the Quadratic Formula

Rational expressions

Simplifying Rational Expressions | Adding and Subtracting Rational Expressions |

Multiplying and Dividing Rational Expressions |

Radical expressions

Simplifying Radicals and Square Roots | Adding and Subtracting Radicals |

Multiplying Radicals | Dividing Radicals |

Absolute value equations and inequalities

Solving Absolute Value Equations | Solving and Graphing Absolute Value Inequalities |

Arithmetic Sequence | Geometric Sequence |

Systems of equation

Solving Systems of Equations by Substitution | Solving Systems of Equations by Addition or Elimination |

Solving Systems of Equations Graphically | Solving Systems of Equations with Fractions or Decimals |

Quadratic inequalities

Solving Quadratic Inequalities

Functions

Function Notation | Composite Functions |

Inverse Functions | Exponential and Logarithmic Functions |

Modeling

Matrices

Introduction to Matrices | Matrix Addition and Subtraction |

Matrix Scalar Multiplication | Matrix Multiplication |

Polynomials Roots of polynomials

Complex numbers

Introduction to Complex Numbers | Adding and Subtracting Complex Numbers |

Multiplying Complex Numbers | Dividing Complex Numbers |

ACT Questions - Intermediate Algebra

Graphing and the relations between equations and graphs

including points, lines, polynomials, circles, and other curves

Plotting points on graphs

Equations of line

Graphing Lines by Plotting Points | Graphing Horizontal and Vertical Lines |

Graphing Lines using the x-intercept and y-intercept |

Slope and Equations

Parallel and perpendicular lines

Equations for Parallel and Perpendicular Lines

Distance and Midpoint Formula

Distance Formula | Midpoint Formula |

Equations of polynomials | Equations of circles |

Equations of curves

Graphing inequalities

Conics

ACT Questions - Coordinate Geometry

Properties and relations of plane figures, including angles

Rectangles, Parallelograms, Triangles | Trapezoids, Regular Polygons, Circles |

Interior and Exterior Angles of Polygons |

Relations among perpendicular and parallel lines

Properties of circles, triangles, rectangles, parallelograms, and trapezoids

Triangles, Circles | Rectangles, Parallelograms, Trapezoids |

Volume

Volume of a Cube | Volume of a Rectangular Prism |

Volume of Triangular Prisms | Volume of Prisms |

Volume of a Cylinder | Volume of a Cone |

Volume of a Pyramid |

Applications of geometry to three dimensions

Volume Word Problems | Volume of Prisms Applications |

Transformations

Introduction to Transformation | Reflection |

Rotation | Translation |

Concept of proof and proof techniques

Two Column Proofs | CPCTC |

ACT Questions - Plane Geometry

Questions in this content area are based on

Understanding trigonometric relations in right triangles

Using the Trigonometry Formula - SOH-CAH-TOA

Values and properties of trigonometric functions

Graphing trigonometric functions

Sine and Cosine Graphs | Tangent Graphs |

Modeling using trigonometric functions

Solving Triangles using Trigonometry | Trigonometry Problems |

Angles of Elevation and Depression |

Use of trigonometric identities

Solving trigonometric equations

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