Solving Multi-Step Equations

The video tutorial covers solving multi-step equations, including examples with parentheses and decimals. It demonstrates isolating variables, distributing terms, and checking solutions. The video concludes with a brief mention of more complex problems to be covered in future videos.

What is the first step in solving a multi-step equation?

• Add a constant to both sides

• Isolate the variable on one side

• Multiply both sides by zero

• Divide both sides by the variable

In the equation 5x + 3 = 2x + 15, what operation is used to eliminate the constant on the left side?

• Addition

• Subtraction

• Division

• Multiplication

After subtracting 2x from both sides in the equation 5x + 3 = 2x + 15, what is the resulting equation?

• 5x = 12

• x = 4

• 2x = 15

• 3x = 12

What is the final value of x in the equation 5x + 3 = 2x + 15?

• x = 6

• x = 3

• x = 5

• x = 4

When checking the solution for 5x + 3 = 2x + 15, what should both sides of the equation equal?

• 12

• 15

• 23

• 20

What is the first step when solving an equation with parentheses?

• Subtract the number inside the parentheses

• Multiply the numbers inside the parentheses

• Distribute the number outside the parentheses

• Add the numbers inside the parentheses

In the equation 3(x + 4) = 2(3x - 1) + 5, what is the result of distributing 3 on the left side?

• 6x + 4

• 6x + 12

• 3x + 4

• 3x + 12

After simplifying the right side of 3(x + 4) = 2(3x - 1) + 5, what is the resulting expression?

• 6x + 12

• 6x + 8

• 6x + 5

• 6x + 3

What is the value of x in the equation 3(x + 4) = 2(3x - 1) + 5?

• x = 2

• x = 5

• x = 3

• x = 4

When solving an equation with decimals, what is a useful technique to simplify the equation?

• Add decimals to both sides

• Multiply both sides by 10

• Divide both sides by 10

• Subtract decimals from both sides