Solving Linear Equations with One Variable

This video tutorial covers solving linear equations with variables on one side, focusing on two-step equations. It explains the concept of inverse operations, such as addition and subtraction, and multiplication and division. The tutorial provides two examples: solving 3x + 2 = 14 and -x/4 - 5 = 3, demonstrating the step-by-step process of isolating the variable using inverse operations. The video emphasizes the importance of understanding which operations to perform first and checking solutions by substituting back into the original equation.

What is a two-step equation?

• An equation that requires two operations to solve.

• An equation that requires one operation to solve.

• An equation with two variables.

• An equation with two constants.

What is the inverse operation of addition?

• Addition

• Multiplication

• Division

• Subtraction

What is the first step in solving the equation 3x + 2 = 14?

• Multiply both sides by 3

• Divide both sides by 3

• Subtract 2 from both sides

• Add 2 to both sides

After subtracting 2 from both sides in the equation 3x + 2 = 14, what is the resulting equation?

• x = 12

• x = 4

• 3x = 12

• 3x = 16

What is the final value of x in the equation 3x + 2 = 14?

• 3

• 2

• 4

• 5

In the equation -x/4 - 5 = 3, what is the first step to isolate x?

• Multiply both sides by -4

• Add 5 to both sides

• Divide both sides by -4

• Subtract 5 from both sides

After adding 5 to both sides in the equation -x/4 - 5 = 3, what is the resulting equation?

• x/4 = 2

• x/4 = -2

• x/4 = -8

• x/4 = 8

What is the final value of x in the equation -x/4 - 5 = 3?

• -8

• 32

• 8

• -32

What is the result of substituting x = -32 back into the equation -x/4 - 5 = 3?

• 5

• 0

• 3

• 8

What is the purpose of checking the solution by substituting it back into the original equation?

• To change the equation

• To verify the correctness of the solution

• To find a different solution

• To simplify the equation