Understanding Equations with Fractions and Variables

This video tutorial covers solving equations with and without fractions. It begins with an introduction to the topic, followed by a detailed explanation of clearing fractions by multiplying both sides of the equation. The tutorial then demonstrates isolating the variable and checking solutions for accuracy. The video also includes solving equations without fractions, emphasizing simplification and verification. The tutorial concludes with a summary of the solutions and encourages viewers to verify their answers.

What is the optional step when dealing with equations that contain fractions?

• Divide by the numerator

• Multiply by the denominator to clear fractions

• Add the fractions together

• Subtract the fractions

When multiplying both sides of an equation by the same number, what is the purpose?

• To change the equation

• To clear fractions or decimals

• To add variables

• To simplify the solution

What is the result of simplifying the equation 5d + 12 = d + 36?

• d = 12

• d = 6

• d = 24

• d = 36

How do you verify the solution of an equation?

• By checking if the left side equals the right side

• By solving another equation

• By guessing the answer

• By using a calculator

What is the first step in simplifying an equation with parentheses?

• Divide all terms

• Multiply all terms

• Clear the parentheses

• Add all terms

In the equation 3m - 4 - 5m + 7, what is the result after combining like terms?

• 2m + 3

• -2m - 11

• -2m + 3

• 8m - 11

What is the solution to the equation -4m - 11 = -47?

• m = -11

• m = 9

• m = 11

• m = -9

How do you isolate a variable in an equation?

• Multiply the variable by zero

• Add or subtract terms to get the variable alone

• Subtract the variable from both sides

• Add the variable to both sides

What should you do after finding a solution to an equation?

• Multiply the solution by two

• Solve another equation

• Verify the solution by substitution

• Forget about it

What is the final step in solving an equation?

• Divide by zero

• Multiply by the solution

• Add more variables

• Check the solution