Distributive Property and Equation Solving

The video tutorial guides viewers through solving an equation with grouping symbols. It begins by introducing the problem and applying the distributive property to simplify the equation. The tutorial then demonstrates how to solve the equation using inverse operations and verifies the solution through substitution. Finally, it presents practice problems for viewers to solve on their own.

What is the first step in solving an equation with grouping symbols?

• Add all terms on both sides.

• Use the distributive property.

• Multiply both sides by a constant.

• Subtract the smaller term from the larger term.

How do you apply the distributive property to 2(5x - 1)?

• 10x - 2

• 5x - 2

• 5x + 1

• 10x + 2

What is the result of applying the distributive property to 3(x + 11)?

• 3x + 33

• 3x + 11

• 3x - 33

• 3x - 11

After applying the distributive property, what is the next step?

• Add all constants to one side.

• Multiply both sides by a constant.

• Get all variables on one side.

• Subtract variables from both sides.

What operation is used to isolate the variable in 7x - 2 = 33?

• Add 2 to both sides.

• Multiply both sides by 7.

• Divide both sides by 7.

• Subtract 2 from both sides.

What is the final step to solve for x in 7x = 35?

• Divide both sides by 7.

• Multiply both sides by 7.

• Subtract 7 from both sides.

• Add 7 to both sides.

How do you verify the solution x = 5 in the original equation?

• Both B and C.

• Check if both sides are equal after substitution.

• Substitute x = 5 into the original equation.

• Substitute x = 5 into the simplified equation.

What is the solution to 4(2y + 1) = 2(y - 13)?

• y = 8

• y = 7

• y = 6

• y = 5

What is the first step in solving 4(2y + 1) = 2(y - 13)?

• Subtract y from both sides.

• Use the distributive property.

• Multiply both sides by 2.

• Add 1 to both sides.

What is the solution to 7(4 - a) = 3(a - 4)?

• a = 5

• a = 6

• a = 4

• a = 7