Solving Two-Step Equations

The video tutorial introduces solving two-step equations using properties of equality. It emphasizes making zeros in addition and ones in multiplication to isolate variables. The tutorial provides four examples, each demonstrating the step-by-step process of solving equations for different variables (X, N, R). The video concludes with a note on checking solutions and a mention of a separate video for word problems.

What is the primary goal when solving a two-step equation?

• To make both sides of the equation equal zero

• To isolate the variable on one side of the equation

• To ensure the equation has no fractions

• To eliminate all numbers from the equation

When solving the equation -9x + 1 = -80, what is the first step?

• Multiply both sides by -9

• Add 9 to both sides

• Divide both sides by 9

• Subtract 1 from both sides

After isolating the variable in the equation -9x = -81, what is the next step?

• Subtract 81 from both sides

• Multiply both sides by 9

• Add 81 to both sides

• Divide both sides by -9

In the equation 2(n + 5) = -2, what operation can be performed first to simplify the equation?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 5 from both sides

• Add 5 to both sides

What is the result of dividing both sides of the equation 2(n + 5) = -2 by 2?

• n + 5 = 1

• n + 5 = -1

• n + 5 = -2

• n + 5 = 0

In the equation (x + 5)/6 = -1, what is the first step to solve for x?

• Divide both sides by 6

• Add 5 to both sides

• Multiply both sides by 6

• Subtract 5 from both sides

After multiplying both sides of (x + 5)/6 = -1 by 6, what is the resulting equation?

• x + 5 = -6

• x + 5 = 6

• x + 5 = 0

• x + 5 = 1

In the equation R/20 - 5 = -4, what is the first step to isolate R?

• Subtract 5 from both sides

• Multiply both sides by 20

• Add 5 to both sides

• Divide both sides by 20

What is the result of adding 5 to both sides of the equation R/20 - 5 = -4?

• R/20 = -1

• R/20 = 1

• R/20 = 0

• R/20 = 5

What is the final step to solve the equation R/20 = 1 for R?

• Add 20 to both sides

• Subtract 20 from both sides

• Multiply both sides by 20

• Divide both sides by 20