Equations and Inequalities (24 topics)

Linear Equations and Applications (4 topics)

• Solving a linear equation with several occurrences of the variable - Fractional forms with binomial numerators
• Solving for a variable in terms of other variables in a linear equation with fractions
• Translating a sentence into a multi-step equation
• Solving a word problem with two unknowns using a linear equation

Linear Inequalities and Applications (2 topics)

• Set builder and interval notation
• Solving a linear inequality with multiple occurrences of the variable - Problem type 1

Rational Equations that Simplify to Linear (2 topics)

• Solving a rational equation that simplifies to linear - Unlike binomial denominators
• Solving for a variable in terms of other variables in a rational equation - Problem type 2

Complex Numbers (4 topics)

• Using i to rewrite square roots of negative numbers
• Adding or subtracting complex numbers
• Multiplying complex numbers
• Dividing complex numbers

Quadratic Equations (7 topics)

• Finding the roots of a quadratic equation of the form ax2 plus bx equals 0
• Finding the roots of a quadratic equation with leading coefficient greater than 1
• Solving a quadratic equation by completing the square - Exact answers
• Applying the quadratic formula - Exact answers
• Solving a quadratic equation with complex roots
• Discriminant of a quadratic equation
• Solving a word problem using a quadratic equation with irrational roots

Radical Equations (5 topics)

• Solving a radical equation that simplifies to a linear equation - One radical, advanced
• Solving a radical equation that simplifies to a linear equation - Two radicals
• Solving a radical equation that simplifies to a quadratic equation - One radical, basic
• Solving an equation with a root index greater than 2 - Problem type 2
• Solving an equation that can be written in quadratic form - Problem type 1