Here’s a masterpiece video by yours truly…
When SAT Math problems involve variables in the denominator, things can look a little intimidating at first. But once you learn how to clear the denominator, rearrange the equation, and simplify, these problems become much more manageable. Sometimes, you’ll even end up with a quadratic equation that you’ll need to factor. No big deal—just take it step by step.
And if test anxiety or SAT anxiety creeps in, don’t worry! I’ve got you covered with a clear breakdown to help you stay calm and confident.
Step 1: Basic Example with a Monomial on One Side
Let’s start simple. Here’s a problem with a fraction on one side and a monomial expression on the other:
Step 2: Clear the Denominator
Multiply both sides by
Step 3: Rearrange and Solve for x
Now for the Fun Part: A Quadratic Example
Let’s try a more challenging problem—one that involves a quadratic equation.
Step 1: Clear the Denominators
Step 2: Expand the Terms
Step 3: Factor the Quadratic
Step 4: Solve for x
Test Anxiety Tip: Take a Deep Breath
When faced with equations like these, it’s easy to let test anxiety get the best of you. But remember, the key is to stay calm and take it step by step. Here’s a quick plan to keep you on track:
- Clear the denominator first: Multiplying by the least common denominator makes everything easier.
- Rearrange the equation slowly: Make sure all terms are on the correct side.
- Factor or solve carefully: If you end up with a quadratic, factor it step-by-step.
Final Thoughts
Equations with variables in the denominator may look a bit intimidating at first, but with practice, they become much more manageable. Just remember: clear the denominators, rearrange the equation, and solve step by step. And if SAT anxiety sneaks in, take a breath and remind yourself—you’ve got this!
With these strategies, you’ll be ready to tackle any denominator problem the SAT throws your way. Good luck, and go crush that SAT!