Solving Linear Equations and Inequalities

The video tutorial explains how to solve linear equations by simplifying both sides, isolating the variable, and verifying the solution. It covers solving for x and y, demonstrating each step with examples and verification using substitution.

What is the first step in solving an equation?

• Isolating the variable

• Adding a constant to both sides

• Simplifying both sides

• Multiplying both sides by zero

Which of the following are like terms in the equation 9x - 8x + 3?

• 3 and -8x

• None of the above

• 9x and -8x

• 9x and 3

After simplifying the equation 9x - 8x + 3 = 10 + 1, what is the next step to solve for x?

• Divide both sides by 2

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 2

What is the solution to the equation x + 3 = 11?

• x = 5

• x = 14

• x = 8

• x = 11

How do you verify the solution x = 8 for the equation 9x - 8x + 3 = 10 + 1?

• By checking if x = 8 is a prime number

• By graphing the equation

• By solving a different equation

• By substituting x = 8 into the equation

What is the first step in solving the equation 5y - 4y - 6 = -9 - 10?

• Multiply both sides by 2

• Combine like terms

• Add 6 to both sides

• Subtract 10 from both sides

What is the solution to the equation y - 6 = -19?

• y = -25

• y = 25

• y = -13

• y = 13

What operation is performed to isolate y in the equation y - 6 = -19?

• Subtract 6 from both sides

• Add 6 to both sides

• Multiply both sides by 6

• Divide both sides by 6

How do you verify the solution y = -13 for the equation 5y - 4y - 6 = -9 - 10?

• By checking if y = -13 is a prime number

• By graphing the equation

• By solving a different equation

• By substituting y = -13 into the equation

What is the result of substituting y = -13 back into the equation 5y - 4y - 6 = -9 - 10?

• The left side equals 0

• The left side equals 19

• The left side equals -19

• The left side equals -13