ACT English

2.1 Properties of exponents and square roots

2.2 Evaluation of algebraic expressions through substitution

2.3 Using variables to express functional relationships

2.4 Understanding algebraic operations

2.5 The solution of quadratic equations by factoring

3.1 The quadratic formula

3.2 Rational and radical expressions

3.3 Absolute value equations and inequalities

3.4 Sequences and patterns

3.5 Systems of equations

3.6 Quadratic inequalities

3.7 Functions and modeling

3.8 Matrices

3.9 Roots of polynomials

3.10 Complex numbers

4.1 Graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves

4.2 Graphing inequalities

4.3 Slope

4.4 Parallel and perpendicular lines

4.5 Distance

4.6 Midpoints

4.7 Conics

5.1 Properties and relations of plane figures, including angles and relations among perpendicular and parallel lines

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

5.3 Transformations

5.4 The concept of proof and proof techniques

5.5 Volume

5.6 Applications of geometry to three dimensions

6.1 Trigonometric relations in right triangles

6.2 Values and properties of trigonometric functions

6.3 Graphing trigonometric functions

6.4 Modeling using trigonometric functions

6.5 Use of trigonometric identities

6.6 Solving trigonometric equations