Solving Linear Equations with Fractions

Mr. Holcomb presents a lesson on solving linear equations. The video includes three exercises where students are encouraged to solve equations independently before checking their solutions. Each exercise is explained in detail, with emphasis on combining like terms, using inverse operations, and verifying solutions. The lesson concludes with a summary and a prompt to review the problem set.

What is the first step in solving a linear equation according to the video?

• Ignore the equation

• Guess the solution

• Show your work and check the solution

• Use a calculator

When using the SADMAP method, which operation should be reversed first?

• Division

• Addition

• Subtraction

• Multiplication

What is the result of combining like terms in the equation X + X + 2 + X + 4 + X + 6?

• 2X + 8

• 5X + 14

• 3X + 10

• 4X + 12

What property is used to simplify the equation 2(3X + 2)?

• Commutative Property

• Distributive Property

• Associative Property

• Identity Property

How do you handle fractions when solving linear equations?

• Add them directly

• Multiply by the reciprocal

• Ignore them

• Convert them to decimals

What is the solution to the equation X - 9 = 3/5X?

• X = 9

• X = 45/2

• X = 22.5

• X = 5

What is the importance of checking your solution in a linear equation?

• To make the equation more complex

• To ensure the solution is correct

• To avoid using a calculator

• To find a different solution

What mistake did the instructor correct during the solution check?

• Forgot to divide by a variable

• Forgot a negative sign

• Forgot to multiply by a coefficient

• Forgot to add a constant

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

• Divide by the coefficient

• Subtract the constant

• Multiply by the reciprocal

• Add all terms

What should you do after solving a linear equation?

• Check the solution

• Move on to the next problem

• Ask for help

• Rewrite the equation