Solving Equations with Variables

The video tutorial explains how to solve equations with variables on both sides. It introduces the concept of getting variables on the same side and demonstrates the process of eliminating smaller variable values. The tutorial also covers solving two-step equations by undoing addition, subtraction, multiplication, and division operations.

Why is it important to practice solving equations with variables on both sides?

• To memorize mathematical formulas

• To prepare for more complex algebra problems

• To understand the concept of variables

• To improve multiplication skills

What should you do if you get stuck on a problem with variables on both sides?

• Guess the answer

• Follow along and write down the correct answer

• Ask a friend for help

• Skip the problem

What is the first step in solving equations with variables on both sides?

• Multiply both sides by a constant

• Divide both sides by a variable

• Get the variable on the same side

• Add numbers to both sides

What is the purpose of practicing one-step and two-step equations?

• To understand the process of solving equations

• To improve handwriting

• To memorize equations

• To learn new mathematical terms

When deciding which variable to eliminate, what should you consider?

• The variable closest to zero

• The variable with the largest coefficient

• The variable with the smallest coefficient

• The variable with the highest exponent

How do you eliminate a variable by subtraction?

• Divide the variable by itself

• Subtract the variable from both sides

• Add the variable to both sides

• Multiply the variable by zero

What is the result of subtracting 3r from 5r?

• 3r

• 2r

• 0r

• 8r

What happens when you subtract a variable from itself?

• It becomes zero

• It doubles

• It remains the same

• It becomes negative

Why can't you subtract 3r from 19 in the equation?

• Because 3r is a variable

• Because subtraction is not allowed

• Because 19 is a larger number

• Because they are not like terms

What is the equation after subtracting 3r from both sides?

• 5 = 2r - 19

• 5 = 3r - 19

• 5 = 5r - 19

• 5 = 0r - 19