Practice Problems

Prime Factorization of 700 | Factor Tree

Prime Factorization Practice | Factor Tree

The Parentheses Trap: (-6)² vs -6²

Order of Operations Challenge

Reduce 130/455 to Lowest Terms

The Repeating Decimal Trick: 0.666... as a Fraction

Simplifying Square Roots: √48, √75, √17

The Radical Combining Trap: 3√2 + 5√8

Classify These Numbers: Natural, Whole, Rational, Irrational

6-Hour Clock Math: What Is 4 + 3? (Modular Arithmetic)

The National Debt Problem: Scientific Notation in Real Life

Scientific Notation: Big and Small Numbers Made Simple

Geometric Sequences: First Term and Common Ratio

Arithmetic Sequences: First Term and Common Difference

Find a8 Without Listing Every Term

The Sign-Flipping Sequence: Negative Common Ratio

Distribute and Simplify: Two Distributions, One Answer

Does Every Linear Equation Have One Answer?

Solve and Check a Linear Equation in 4 Steps

Clear the Fractions: Solve x/3 + x/2 = 10

Reading a Map with Proportions: 1 Inch = 25 Miles

Property Tax Proportions: Find the Tax

Gym Membership Math: Write and Solve the Equation

Graphing Inequalities on a Number Line

What Score Do I Need on the Final? Inequality Problem

Factor 3x² − 20x + 28 Fast

Solve 2x² + 9x - 5 = 0 by Quadratic Formula

Solve x² − 2x = 35 by Factoring

Application of Quadratic Equation

Find f(60): Real-Life Function Problem

Is It a Function? Vertical Line Test

Find the Slope from Two Points

Slope with Real Data: College Freshmen Trend

A Linear Equation System Has No Solution

Solve a Linear System with the Substitution Shortcut

When Does a Business Start Making Money?

Graph 3x − 5y ≥ 15: Which Side Do You Shade?

Special Inequality Graph: Which Way Do You Shade?

Graph of Exponential Function f(x) = 2^x

Graphs of Logarithmic Functions (the Mirror of Exponentials)

Graphing a Parabola: Vertex and Intercepts

How Much Tax Are You Really Paying?

This TV Statistic Was Wrong — Can You Spot It?

15% Off Sounds Nice… But How Much Do You Save?

Savings Goal? Work Backward with Interest

What Interest Rate Are You Really Paying?

4% Monthly Interest… What's the Real Annual Rate?

Want $20,000 in 5 Years? Work Backward

Higher Interest Rate Isn’t Always the Better Deal

How to Tell If a Graph Is a Function

How to Read a Function Table

Solving a Falling Object Problem in 30 Seconds

Finding the Domain: A Fraction AND a Square Root

How to Read Domain & Range from Function's Graph

Linear Growth of Population in a City: A Real-World Example

Two Slope-Intercept Problems in Under 30 Seconds

Solving Systems by Substitution

Elimination Method and When a System Has NO Solution

Solving an Inequality With Fractions (And Flip the Sign!)

Solving a Double Inequality in One Shot

A Real-World Inequality Problem

Absolute Value Inequalities Always Do This

Multiplying Complex Numbers — FOIL Still Works

Dividing Complex Numbers — The Conjugate Trick

3x² + 7x − 8 = 0 by Completing the Square

When the Quadratic Formula Gives Imaginary Answers

x² + 10x + 22 → Vertex Form

Optimization: Maximizing Area With a Parabola

f(g(x)) vs g(f(x)) — Order Matters

Reading Transformations Straight From the Formula and Sketching the Graph

Shift, Shift, Reflect: Transforming √x with Three Transformations

Why Do Some Zeros Cross and Others Bounce? Two Polynomials, Two Answers

Sketch Any Polynomial in 5 Steps

Can You Reverse a Degree 4 Polynomial Straight Off Its Graph?

This Rational Function Is Hiding a Hole (Plus Vertical & Horizontal Asymptotes)

Full Rational Function Graph, Every Asymptote, Every Intercept — Start to Finish

Can a Graph Cross Its Own Asymptote? (The Rule Everyone Gets Wrong)

Don't Miss the Hole in This Rational Function

Why You Always Have to Check Radical Equation Answers

Two Square Roots, One Equation, Two Valid Answers

How to Verify Two Functions Are Inverses

Finding the Inverse of a Rational Function in 3 Steps — Swap, Solve, Done

Transforming an Exponential Graph Fast

Car Depreciation: When Does It Hit $15K?

Find the Exponential Function from Two Points

Graphing a Logarithmic Function with Shifts

Careful! You Can't Split a SUM Inside a Log — Expanding Logarithms

Combining Logs Into One — Two Examples

Two Exponential Equations, Two Different Tricks

This Log Equation Has a Sneaky Rejected Answer — Solving 2ln x − ln 5 = ln(x+10)

How to Compute log₅(33) on Any Calculator

Isosceles Right Triangle Hiding a 45-45-90 (Perimeter Trick)

"Exactly One Point" Is the Whole Clue (Tangent Line Trick)

The SAT Exponent Trick You Need to Know

This SAT Parabola Question Has a Hidden Shortcut 🤯

Which Expression MUST Be an Integer in this SAT Problem? (Factoring Trick)