Solving Linear Equations

This video tutorial covers solving linear equations with one variable using addition, subtraction, multiplication, and division. It provides step-by-step instructions and tips for isolating the variable x, checking answers, and understanding common mistakes. Practice problems are included for each section to reinforce learning.

What is the primary goal when solving a linear equation with one variable?

• To isolate the variable x

• To find the value of y

• To balance both sides of the equation

• To eliminate all numbers

In the equation x + 3 = 5, what operation should be performed to isolate x?

• Subtract 3 from both sides

• Divide both sides by 3

• Add 3 to both sides

• Multiply both sides by 3

Why is it important to perform the same operation on both sides of an equation?

• To eliminate the variable

• To make the equation more complex

• To keep the equation balanced

• To simplify the equation

If x + 4 = 2, what is the value of x?

• -2

• 2

• 4

• -4

What mistake is made if you add 4 instead of subtracting 4 in the equation x + 4 = 2?

• The equation becomes x = 0

• The equation becomes x = 6

• The equation becomes x = -2

• The equation becomes x = 8

In the equation 6 = 5 + x, what operation should be performed to solve for x?

• Add 5 to both sides

• Subtract 5 from both sides

• Divide both sides by 5

• Multiply both sides by 5

What is the result of solving the equation x - 3 = 5?

• x = 8

• x = 5

• x = 2

• x = -2

In the equation 7 = x - 9, what operation should be performed to solve for x?

• Add 9 to both sides

• Subtract 9 from both sides

• Multiply both sides by 9

• Divide both sides by 9

What is the solution to the equation x - 7 = -4?

• x = 3

• x = 11

• x = -11

• x = -3

How do you solve the equation 3x = 6?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides