Solving Linear Equations and Operations

This video tutorial by Mr. Richards covers sixth-grade unit six, lesson four anchor problems. It explains how to solve equations using diagrams, algebraic methods, and real-world examples. The video emphasizes the importance of isolating variables and using opposite operations to maintain balance in equations. It also highlights the significance of checking solutions to ensure accuracy.

Which method can be used to solve the equation x + 2 = 6?

• Using a pie chart

• Using a number line

• Using a histogram

• Using a tape diagram

What is the opposite operation of addition when isolating a variable?

• Multiplication

• Division

• Subtraction

• Exponentiation

How do you solve the equation M + 3.6 = 9.2?

• Add 3.6 to both sides

• Divide both sides by 3.6

• Subtract 3.6 from both sides

• Multiply both sides by 3.6

In the equation D - 5 = 7, what operation should be performed to find D?

• Divide both sides by 5

• Multiply both sides by 5

• Add 5 to both sides

• Subtract 5 from both sides

What is the solution to the equation P - 3/4 = 8?

• P = 9.25

• P = 7.25

• P = 8.75

• P = 8.25

If Martin's grocery bill after using coupons is $21.36, and he saved $5.75, what was the original bill?

• $15.61

• $27.11

• $22.11

• $26.11

What is the first step in solving the equation X + 8 = -12?

• Divide both sides by 8

• Add 8 to both sides

• Multiply both sides by 8

• Subtract 8 from both sides

How can you verify your solution to an equation?

• By guessing the answer

• By asking a friend

• By checking if the left side equals the right side

• By using a calculator

In the equation 15 = X - 20, what operation is needed to solve for X?

• Add 20 to both sides

• Subtract 20 from both sides

• Divide both sides by 20

• Multiply both sides by 20

What should you do if your solution does not satisfy the original equation?

• Ask someone else to solve it

• Ignore it

• Change the equation

• Recheck your steps and calculations