Solving Linear Equations Concepts

The video tutorial explains how to solve linear equations by isolating the variable. It covers four examples, demonstrating the process of undoing addition, subtraction, multiplication, and division to simplify equations into the form x = number. Each example is broken down step-by-step to illustrate the method of isolating the variable and finding the solution.

What is the first step in solving a linear equation to isolate the variable?

• Square both sides of the equation

• Multiply both sides by a constant

• Divide both sides by a constant

• Add or subtract to eliminate a term

In the equation 4x + 7 = -21, what operation should be performed first?

• Divide by 4

• Add 21

• Subtract 7

• Multiply by 4

After subtracting 7 from both sides in the equation 4x + 7 = -21, what is the next step?

• Add 7 to both sides

• Multiply both sides by 4

• Subtract 21 from both sides

• Divide both sides by 4

In the equation -2x - 9 = -21, what is the result after adding 9 to both sides?

• -30

• -12

• 12

• 0

What is the final solution for x in the equation -2x - 9 = -21?

• x = -6

• x = 6

• x = 12

• x = -12

In the equation x/3 + 5 = -4, what should be done after subtracting 5 from both sides?

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

• Add 5 to both sides

What is the solution for x in the equation x/3 + 5 = -4?

• x = -27

• x = -9

• x = 9

• x = 27

In the equation x/-2 - 9 = -2, what is the first step to simplify the equation?

• Add 9 to both sides

• Multiply both sides by -2

• Divide both sides by -2

• Subtract 9 from both sides

What is the final solution for x in the equation x/-2 - 9 = -2?

• x = 7

• x = -14

• x = -7

• x = 14

In solving linear equations, why is it important to perform the same operation on both sides?

• To keep the equation balanced

• To eliminate the variable

• To make the equation more complex

• To change the equation's solution