Understanding and Solving Equations

The video tutorial explains how to solve the equation 6 times the sum of a number and 5 equals -48. It begins by assigning a variable to the unknown number and setting up the equation based on the problem statement. The tutorial highlights common mistakes, such as misinterpreting the equation structure, and emphasizes the importance of correctly setting up the equation. It then demonstrates solving the equation using the distributive property and basic algebraic operations, ultimately finding that the number is -13. The video concludes with tips on carefully reading problem statements to avoid errors.

What is the first step in solving the problem presented in the video?

• Guess the number.

• Directly solve the equation.

• Use a calculator.

• Assign a variable to the unknown number.

What operation is indicated by the word 'sum' in the problem?

• Subtraction

• Division

• Addition

• Multiplication

Which of the following is a common mistake when setting up the equation?

• Using x + 5 = -48

• Using 6(x + 5) = -48

• Using 6x + 5 = -48

• Using 6x = -48

What is the correct expression for '6 times the sum of a number and 5'?

• 6x - 5

• x + 5

• 6(x + 5)

• 6x + 5

What is the first step in solving the equation after setting it up?

• Divide both sides by 6.

• Add 30 to both sides.

• Subtract 30 from both sides.

• Distribute the 6 across the sum.

After distributing, what is the equation simplified to?

• 6x + 30 = -48

• 6x + 5 = -48

• 6x = -48

• x + 5 = -48

What operation should be performed after distributing to isolate the variable?

• Multiply both sides by 6.

• Subtract 30 from both sides.

• Add 30 to both sides.

• Divide both sides by 6.

What is the value of x after solving the equation?

• -78

• 78

• -13

• 13

Why is it important to read the problem carefully before setting up the equation?

• To ensure the equation represents the problem correctly.

• To solve the equation faster.

• To avoid using a calculator.

• To guess the answer.

What is the final step in solving the equation?

• Divide both sides by 6.

• Subtract 30 from both sides.

• Add 30 to both sides.

• Multiply both sides by 6.