Preparing for ACT Math section

ACT Math preparation

Test Overview

• 60 questions
• 60 minutes
• Multiple Choice
• Four scores are reported for the ACT mathematics test:
• Total test score based on all 60 questions
• Subscore in Pre-Algebra & Elementary Algebra
• Subscore in Intermediate Algebra & Coordinate Geometry
• Subscore in Plane Geometry & Trigonometry
• Calculator IS allowed
• 

Pre-Algebra (20–25%).

• Basic operations using whole numbers, decimals, fractions, and integers
• place value
• square roots and approximations
• the concept of exponents
• scientific notation
• factors
• ratio, proportion, and percent
• linear equations in one variable
• absolute value and ordering numbers by value
• elementary counting techniques and simple probability
• data collection, representation, and interpretation
• understanding simple descriptive statistics
• Adding, Subtracting, Multiplying, and Dividing Integers Study Cards (7th Grade)
• Exponents Practice
• Ratio and Proportion

Elementary Algebra (15–20%)

• properties of exponents and square roots
• evaluation of algebraic expressions through substitution
• using variables to express functional relationships
• understanding algebraic operations
• solving quadratic equations by factoring.
• Substitution Steps
• Solving Quadratic Equations

Intermediate Algebra (15–20%)

• understanding the quadratic formula
• rational and radical expressions
• absolute value equations & inequalities
• sequences and patterns
• systems of equations
• quadratic inequalities
• functions
• modeling
• matrices
• roots of polynomials
• complex numbers
• Polynomials
• Unit 5 - Exponents and Radicals

Coordinate Geometry (15–20%)

• relations between equations and graphs, including points, lines, polynomials, circles, and other curves
• graphing inequalities
• slope
• parallel and perpendicular lines
• distance
• midpoints
• conics
• Graphing Inequalities
• Geometry Vocabulary

Plane Geometry (20–25%)

• Properties and relations of plane figures, including angles and relations among perpendicular and parallel lines
• properties of circles, triangles, rectangles, parallelograms, and trapezoids
• transformations
• the concept of proof and proof techniques
• volume
• applications of geometry to three dimensions.
• Area And Volume For 3D and 2D Shapes
• Geometry Formulas

Trigonometry (5–10%)

• understanding trigonometric relations in right triangles
• values and properties of trigonometric functions
• graphing trigonometric functions
• modeling using trigonometric functions
• use of trigonometric identities
• solving trigonometric equations
• Trigonometry Mind Map