Solving Multi-Step Equations

The video tutorial demonstrates solving a multi-step equation using two methods. The first method involves subtracting and multiplying to isolate the variable, while the second method focuses on clearing fractions by multiplying both sides by the denominator. Both methods lead to the same solution, emphasizing the flexibility in solving equations.

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

• Divide both sides by the same number

• Multiply both sides by the same number

• Subtract numbers on both sides

• Add numbers on both sides

In the first method, what operation is performed after subtracting three from both sides?

• Multiply both sides by five

• Divide both sides by five

• Subtract two from both sides

• Add two to both sides

What is the result of multiplying both sides by five in the first method?

• x + 2 = 10

• x - 2 = 10

• x + 2 = 50

• x - 2 = 50

What is the final solution for x in the first method?

• x = 48

• x = -48

• x = 50

• x = -50

What is the purpose of subtracting three on both sides in the first method?

• To clear the fraction

• To balance the equation

• To simplify the equation

• To eliminate the variable

What operation is used to cancel out the fives in the first method?

• Addition

• Subtraction

• Multiplication

• Division

What is the main goal of the second method?

• To clear the fraction

• To subtract fractions

• To add fractions

• To divide fractions

In the second method, what do you multiply both sides by?

• The constant

• The numerator

• The denominator

• The variable

What equation do you get after clearing the fraction in the second method?

• x + 13 = -35

• x + 13 = 35

• x - 13 = 35

• x - 13 = -35

What is the final step to isolate x in the second method?

• Divide both sides by 13

• Multiply both sides by 13

• Subtract 13 from both sides

• Add 13 to both sides