Solving Equations and Number Lines

The video tutorial explains how to solve equations using a double number line. It begins with an introduction to the concept and setting up the number line. The instructor demonstrates solving two equations step-by-step, including checking the solutions by substituting back into the original equations. The first equation involves simple arithmetic operations, while the second equation introduces a negative term, adding complexity. The tutorial emphasizes understanding the process of undoing operations to isolate the variable and verify solutions.

What is the first step in solving equations using a double number line?

• Positioning zero on the number line

• Subtracting seven from both sides

• Setting up the double number line

• Dividing by five

What is the purpose of using a double number line in solving equations?

• To avoid mistakes

• To make calculations easier

• To check the solution

• To visualize the equation

What is the purpose of using a double number line in solving equations?

• To check the solution

• To visualize the equation

• To make calculations easier

• To avoid mistakes

Where should zero be placed on the double number line?

• At the far left

• At the far right

• Slightly off to the right

• In the middle

What is the first value labeled on the top number line?

• Seven

• Five

• Twenty-two

• Zero

What is the first value labeled on the bottom number line?

• Zero

• Five x plus seven

• Twenty-two

• X

What operation is used to undo adding seven in the equation?

• Subtracting seven

• Adding seven

• Dividing by seven

• Multiplying by seven

After subtracting seven, what is the next step to solve for x?

• Adding five

• Dividing by five

• Subtracting five

• Multiplying by five

How can you verify the solution of x in the equation?

• By adding seven to both sides

• By substituting x back into the original equation

• By multiplying both sides by five

• By checking if 5x equals 15

What is the solution for x in the equation 5x + 7 = 22?

• x = 5

• x = 3

• x = 7

• x = 4