Solving Two-Step Linear Equations

The video tutorial explains how to solve two-step linear equations by isolating the variable. It covers two examples: one with the variable on the left side and another with the variable on the right side. The process involves undoing addition or subtraction first, followed by undoing multiplication or division. The tutorial emphasizes the importance of correctly identifying operations to isolate the variable and solve the equation.

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

• To simplify the equation to a single number

• To eliminate all numbers from the equation

• To find the value of the variable

• To make both sides of the equation equal

In the first example, what operation should be performed first to isolate the variable?

• Add 3 to both sides

• Subtract 12 from both sides

• Divide both sides by 12

• Multiply both sides by 3

Why is it incorrect to add 3 to both sides in the first example?

• Because it would make the equation more complex

• Because 3 is attached to the variable by multiplication

• Because 3 is not part of the equation

• Because 3 is already on both sides

What is the result of dividing both sides by -3 in the first example?

• x = -15

• x = 5

• x = -5

• x = 15

What is the common mistake when seeing a minus sign in a multiplication equation?

• Adding instead of subtracting

• Subtracting instead of adding

• Multiplying instead of dividing

• Dividing instead of multiplying

In the second example, what is the first step to isolate the variable?

• Add 17 to both sides

• Subtract 17 from both sides

• Multiply both sides by 4

• Divide both sides by 4

What operation is used to undo the division by 4 in the second example?

• Add 4 to both sides

• Multiply both sides by 4

• Subtract 4 from both sides

• Divide both sides by 4

What is the final solution for the variable in the second example?

• x = 48

• x = -48

• x = 12

• x = -12

Why is it important to reverse the equation to x = -48 in the second example?

• To make it easier to read

• To simplify the equation further

• To follow standard mathematical conventions

• To ensure the equation is correct

What is the key takeaway from the examples provided?

• Ignore the signs in the equation

• Follow the order of operations to isolate the variable

• Always divide numbers first

• Always add numbers first