Solving Linear Equations and Variables

This video tutorial covers solving one-step equations using addition, subtraction, multiplication, and division. It begins with a review of previous lessons on addition and subtraction, followed by detailed steps to solve equations algebraically. The tutorial includes example problems for each operation and emphasizes the importance of checking solutions. The lesson concludes with exercises for further practice.

What is the first step when solving an equation with a variable?

• Start with the side without the variable

• Add a constant to both sides

• Multiply both sides by zero

• Begin with the side containing the variable

How do you isolate a variable in an equation?

• Perform the inverse operation on both sides

• Multiply the variable by zero

• Subtract the variable from both sides

• Add the same number to both sides

In the equation n + 14 = 25, what operation is needed to solve for n?

• Add 14 to both sides

• Divide both sides by 14

• Multiply both sides by 14

• Subtract 14 from both sides

What is the solution to the equation 2g - 62 = 14?

• g = 48

• g = 62

• g = 38

• g = 76

How do you check if your solution to an equation is correct?

• By multiplying the solution by zero

• By substituting the solution back into the original equation

• By solving a different equation

• By adding the solution to both sides

What is the value of z in the equation 3z = 9?

• z = 3

• z = 6

• z = 9

• z = 12

In the equation y/4 = 2, what operation will help solve for y?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

What is the solution to the equation 15 = n/5?

• n = 5

• n = 3

• n = 15

• n = 75

Which method can be used to solve the equation 3m = 21?

• Only algebraic methods

• Neither method

• Only tape diagrams

• Both tape diagrams and algebraic methods

What should you do if you don't finish the problem set in class?

• Ask a friend to do it

• Ignore it

• Finish it at home and bring it back

• Leave it incomplete