Solving One-Step Equations

This video tutorial covers solving one-step equations using both tape diagrams and algebraic methods. It begins with an introduction to the concepts, followed by exercises that demonstrate solving equations with addition and subtraction. The tutorial emphasizes checking solutions through substitution and provides examples of solving equations with variables. The video concludes with exercises that reinforce the methods taught, ensuring students understand how to solve and verify equations effectively.

What is the first step in solving one-step equations using tape diagrams?

• Multiply both sides by the same number

• Draw tape diagrams for each side of the equation

• Divide both sides by the same number

• Add the same number to both sides

In the equation b + 9 = 15, what operation helps find the value of b?

• Multiplying both sides by 9

• Dividing both sides by 9

• Adding 9 to both sides

• Subtracting 9 from both sides

How do you determine the value of D in the equation D - 5 = 7?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

What is the result of substituting the solution back into the equation D - 5 = 7?

• D - 5 = 12

• D - 5 = 7

• D - 5 = 0

• D - 5 = 5

In the equation e + 12 = 20, what is the value of e?

• 8

• 12

• 32

• 20

What operation is used to solve f - 10 = 15?

• Divide both sides by 10

• Multiply both sides by 10

• Add 10 to both sides

• Subtract 10 from both sides

What is the value of f in the equation f - 10 = 15?

• 15

• 10

• 25

• 5

In the equation g - 8 = 9, what is the value of g?

• 1

• 9

• 8

• 17

What is the purpose of substituting the solution back into the original equation?

• To find a new solution

• To verify the solution is correct

• To change the equation

• To simplify the equation

What is the result of substituting 17 into the equation g - 8 = 9?

• 17 - 8 = 8

• 17 - 8 = 9

• 17 - 8 = 17

• 17 - 8 = 0