Solving Linear Equations and Fractions

This video tutorial covers solving level two linear equations, starting with an introduction to the problem setup. It demonstrates solving equations with integers and fractions, emphasizing the importance of balancing both sides of the equation. The tutorial includes checking solutions to ensure accuracy and concludes with encouragement to practice more problems.

What is the first step in solving the equation 2x + 3 = -15?

• Add 3 to both sides

• Multiply both sides by 2

• Divide both sides by 2

• Subtract 3 from both sides

After moving the constant to the other side, what operation is used to solve for x in 2x = -18?

• Add 2

• Subtract 2

• Multiply by 2

• Divide by 2

How can you verify the solution to a linear equation?

• By checking if the solution satisfies the original equation

• By solving a different equation

• By graphing the equation

• By using a calculator

What is the first step in solving the equation -1/2x + 3/4 = 5/6?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 3/4 from both sides

• Add 3/4 to both sides

What is the least common multiple of 6 and 4 used for in the equation -1/2x + 3/4 = 5/6?

• To simplify the equation

• To find a common denominator

• To eliminate fractions

• To solve for x

What is the reciprocal of -1/2 used for in solving the equation -1/2x = 1/12?

• To add to both sides

• To subtract from both sides

• To multiply both sides

• To divide both sides

How do you verify the solution to the equation -1/2x + 3/4 = 5/6?

• By solving a different equation

• By substituting the solution back into the equation

• By graphing the equation

• By using a calculator

What is the simplified form of -2/12?

• -1/6

• -1/3

• -1/2

• -1/4

What is the main difference between level one and level two linear equations?

• Level two includes fractions

• Level two has more variables

• Level two requires graphing

• Level two involves complex numbers

What is the final step in solving a linear equation with fractions?

• Divide by the reciprocal

• Multiply by the reciprocal

• Subtract fractions

• Add fractions