Solving Two-Step Linear Equations

This video tutorial introduces solving two-step linear equations by isolating the variable. It covers the basic steps: adding or subtracting to isolate the variable term, then multiplying or dividing to solve for the variable. The video provides five examples, demonstrating each step in detail and emphasizing the importance of maintaining equality by performing the same operation on both sides of the equation.

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

• To find the sum of all terms

• To make both sides equal zero

• To isolate the variable

• To eliminate all numbers

In the equation 2x + 3 = 9, what operation should be performed first?

• Subtract 3

• Multiply by 2

• Divide by 2

• Add 3

After subtracting 3 from both sides in the equation 2x + 3 = 9, what is the next step?

• Multiply by 2

• Add 3

• Subtract 2

• Divide by 2

In the equation 5x - 8 = 22, what is the first step to isolate the variable?

• Subtract 8

• Divide by 5

• Add 8

• Multiply by 5

What is the result of dividing both sides by 5 in the equation 5x = 30?

• x = 6

• x = 35

• x = 5

• x = 25

In the equation 9 - 2x = 23, what operation should be performed first?

• Subtract 9

• Multiply by 2

• Divide by 2

• Add 9

After subtracting 9 from both sides in the equation 9 - 2x = 23, what is the next step?

• Multiply by 2

• Add 2

• Subtract 2

• Divide by -2

In the equation -11 = 4x - 43, what is the first step to isolate the variable?

• Subtract 43

• Multiply by 4

• Add 43

• Divide by 4

What is the result of dividing both sides by 4 in the equation 4x = 32?

• x = 16

• x = 12

• x = 4

• x = 8

In the equation -15 = 5 - 5x, what operation should be performed first?

• Add 5

• Subtract 5

• Divide by 5

• Multiply by 5