Solving Linear Equations Steps

The video tutorial for Grade 8 students covers solving equations by balancing both sides. It begins with an introduction to the concept, followed by four examples demonstrating different methods to isolate variables and solve equations. The tutorial concludes with homework instructions for students to practice the learned concepts.

What is the main goal when solving equations by balancing?

• To isolate the variable

• To multiply both sides by zero

• To add numbers to both sides

• To make both sides of the equation different

What is the purpose of balancing both sides of an equation?

• To ensure both sides are equal

• To make one side heavier

• To make the equation longer

• To confuse the solver

In the equation 3n + 2 = 17, what is the first step to isolate n?

• Multiply both sides by 3

• Subtract 2 from both sides

• Divide both sides by 3

• Add 2 to both sides

After subtracting 2 from both sides in the equation 3n + 2 = 17, what is the next step?

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 3

• Multiply both sides by 3

What is the value of n in the equation 3n + 2 = 17?

• 3

• 5

• 9

• 7

What is the result of dividing both sides of 3n = 15 by 3?

• n = 45

• n = 15

• n = 5

• n = 3

What is the final step in solving 3n + 2 = 17?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 2 from both sides

• Add 2 to both sides

In the equation t + 8 = 14, what operation is used to solve for t?

• Multiply both sides by 8

• Divide both sides by 8

• Subtract 8 from both sides

• Add 8 to both sides

What is the value of t in the equation t + 8 = 14?

• 4

• 5

• 7

• 6

What is the result of subtracting 8 from both sides of t + 8 = 14?

• t = 8

• t = 4

• t = 6

• t = 10