Solving Multi-Step Equations Effectively

This video tutorial by Mr. J covers a comprehensive guide on solving multi-step equations. It begins with an introduction to the concept and progresses through various types of equations, including two-step equations, equations involving negatives, and those with fractional terms. The tutorial also explores the use of the distributive property, combining like terms, and handling equations with variables on both sides. Each section includes detailed examples and step-by-step solutions to enhance understanding.

What is the first step in solving the equation 3x + 10 = 28?

• Divide both sides by 3

• Add 10 to both sides

• Subtract 10 from both sides

• Multiply both sides by 3

In the equation 9y - 12 = 15, what operation should be performed first to isolate y?

• Divide both sides by 9

• Add 12 to both sides

• Subtract 12 from both sides

• Multiply both sides by 9

When solving -2W + 6 = 14, what is the correct value of W?

• W = -8

• W = -4

• W = 4

• W = 8

What is the result of distributing 5 in the equation 5(D - 7) = 20?

• 5D - 7 = 20

• 5D + 7 = 20

• 5D + 35 = 20

• 5D - 35 = 20

In the equation 4x - 11 + 2x = 13, what is the combined term for 4x and 2x?

• 8x

• 6x

• 2x

• 4x

What is the first step to solve the equation 5G + 8 - 3G = 4?

• Add 3G to both sides

• Divide both sides by 2

• Combine like terms

• Subtract 8 from both sides

When solving 5x - 4 = 2x + 11, what should you do to get the variable on one side?

• Add 4 to both sides

• Subtract 2x from both sides

• Multiply both sides by 2

• Divide both sides by 5

In the equation 3y + 8 = 10y - 6, which term should be eliminated first to avoid negatives?

• 8

• -6

• 10y

• 3y

What is the result of distributing 6 in the equation 6(x + 3) = 2(4x - 1)?

• 6x + 3

• 6x + 18

• 6x - 3

• 6x - 18

In the equation -4(3a - 9) = 3(-7a + 9), what is the result of distributing -4?

• -12a + 36

• -12a - 36

• 12a + 36

• 12a - 36