Solving Multi-Step Equations in One Variable

The video tutorial covers solving multi-step equations involving rational numbers and distribution. It demonstrates solving for variables w, g, a, and r by using techniques like distribution, combining like terms, and handling fractions. The tutorial emphasizes careful handling of signs and operations to avoid mistakes, providing exact answers for each problem.

What is the first step in solving the equation 4 = 0.25w - 1.075?

• Subtract 0.25 from both sides

• Divide both sides by 4

• Multiply both sides by 0.25

• Add 1.075 to both sides

After performing the additive inverse in the equation 4 = 0.25w - 1.075, what is the resulting equation?

• 2.925 = 0.25w

• 5.075 = 0.25w

• 3.925 = 0.25w

• 4.075 = 0.25w

What is the value of w in the equation 4 = 0.25w - 1.075?

• 18.3

• 20.3

• 22.3

• 24.3

What is the first step in solving the equation -12g - 6 = -13g - 2?

• Add 12g to both sides

• Subtract 6 from both sides

• Add 13g to both sides

• Subtract 2 from both sides

What is the value of g in the equation -12g - 6 = -13g - 2?

• 5

• 3

• 2

• 4

What is the first step in solving the equation 3 + 0.5(4a + 8) = 9 - 2a?

• Subtract 3 from both sides

• Add 2a to both sides

• Distribute 0.5

• Combine like terms

What is the value of a in the equation 3 + 0.5(4a + 8) = 9 - 2a?

• 1

• 0.75

• 0.5

• 0.25

What is the first step in solving the equation 12g = 4g - 12 + 11?

• Divide by 12

• Combine like terms

• Subtract 4g from both sides

• Add 12 to both sides

What is the value of g in the equation 12g = 4g - 12 + 11?

• -1/8

• -1/4

• -1/2

• -1

What is the value of r in the equation 1/2r + 3/2r - 2 = 1/4r + 6?

• 34/7

• 28/7

• 30/7

• 32/7