Algebra - How To Solve Equations Quickly!

TL;DR

Learn how to solve two-step equations, including those with fractions, decimals, and variables on both sides.

Transcript

in this video we're going to focus on solving twostep equations so let's start with the basics we're going to cover equations with fractions parentheses variables in both sides and even decimals but let's start with the basic two-step equations so how would you solve this equation let's say that 3x + 5 is equal to 17 what's the first thing that we ... Read More

Key Insights

• ◀️ Two-step equations require reversing operations to isolate the variable.
• 🙃 Fractions can be eliminated by multiplying both sides by the least common denominator.
• 😑 Distributive property is useful for simplifying expressions within parentheses.
• 🍉 Like terms must be combined before isolating the variable.
• 🙃 Variables on both sides of the equation can be moved to one side by combining like terms.
• ❓ Decimals can be converted into fractions for easier calculations in equations.
• ❓ The process of solving two-step equations can be applied to equations with multiple variables.

Questions & Answers

Q: What is the first step in solving a two-step equation?

The first step is to isolate the variable by undoing the operations in reverse order. Start by getting rid of any addition or subtraction terms on the same side as the variable.

Q: How do you handle equations with fractions?

To solve equations with fractions, eliminate them by multiplying both sides of the equation by the least common denominator.

Q: What should you do if the variable is on both sides of the equation?

Combine like terms on each side first, then move all the variable terms to one side and the constant terms to the other side. Finally, isolate the variable by performing inverse operations.

Q: Is it necessary to simplify expressions within parentheses before solving the equation?

Yes, simplifying expressions within parentheses is necessary to correctly solve the equation. Use the distributive property to remove the parentheses and combine like terms.

Summary & Key Takeaways

• Two-step equations involve isolating the variable by performing inverse operations.

• Start by simplifying any expressions within parentheses or dealing with fractions.

• Solve for the variable by performing operations in reverse order of the original equation.