Solving Equations Using the Distributive Property

This video tutorial teaches how to solve linear equations using the distributive property. It begins with an introduction to the concept, followed by a review of the distributive property. The tutorial then provides step-by-step solutions to two example equations: 5(X + 2) = 27 and -3/7(X - 2) = -18. The video concludes by reinforcing the use of the distributive property in solving linear equations.

What is the result of applying the distributive property to 2(X + 1)?

• 2X + 1

• X + 2

• 2X + 2

• X + 1

After distributing 5 in the equation 5(X + 2) = 27, what is the resulting equation?

• 5X = 27

• 5X + 10 = 27

• 5X + 2 = 27

• X + 10 = 27

What is the next step after distributing in the equation 5(X + 2) = 27?

• Multiply both sides by 5

• Subtract 10 from both sides

• Add 10 to both sides

• Divide both sides by 5

What is the reciprocal of -3/7 used in solving -3/7(X - 2) = -18?

• -7/3

• 7/3

• -3/7

• 3/7

What is the solution for X in the equation -3/7(X - 2) = -18 after solving?

• 46

• 40

• 44

• 42