Solving Linear Equations and Properties

The video tutorial covers solving two-step equations through various examples. It demonstrates how to solve equations by performing inverse operations such as addition, subtraction, multiplication, and division. The tutorial also explains solving equations with parentheses using the distributive property. Each example is followed by highlighting the final answer.

What is the first step in solving the equation 2x - 6 = 10?

• Multiply both sides by 2

• Add 6 to both sides

• Subtract 6 from both sides

• Divide both sides by 2

After adding 6 to both sides in the equation 2x - 6 = 10, what is the next step?

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 2

In the equation r/5 = 3, what operation should be performed to solve for r?

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 5

What is the first step in solving the equation 11 = r/5 + 8?

• Add 8 to both sides

• Multiply both sides by 5

• Divide both sides by 5

• Subtract 8 from both sides

In the equation -3e = -9, what operation should be performed to solve for e?

• Multiply both sides by -3

• Divide both sides by -3

• Add 3 to both sides

• Subtract 3 from both sides

What is the result of dividing -9 by -3 in the equation -3e = -9?

• 3

• 4

• 2

• 1

What property is used to solve the equation 2(y - 8) = 24?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

After using the distributive property in the equation 2(y - 8) = 24, what is the next step?

• Subtract 8 from both sides

• Multiply both sides by 2

• Add 8 to both sides

• Divide both sides by 2

What is the final value of y in the equation 2(y - 8) = 24?

• 22

• 20

• 16

• 18

What is the purpose of boxing the answer in the video tutorial?

• To indicate an incorrect answer

• To separate different problems

• To highlight the final answer

• To show the steps of the solution