Solving Multi-Step Equations and Inequalities

This video tutorial covers solving multi-step equations in algebra, starting with simple equations and progressing to more complex ones. It explains how to isolate variables, handle equations with fractions, and solve equations with variables on both sides. The tutorial also addresses cases where no solution exists, emphasizing the importance of checking work to ensure accuracy.

What is the primary goal when solving multi-step equations?

• To make both sides of the equation zero

• To eliminate all variables

• To collect the variable on one side of the equation

• To add more variables to the equation

In the equation 3x - 4 = 5, what is the first step to isolate x?

• Multiply both sides by 3

• Add 4 to both sides

• Subtract 5 from both sides

• Divide both sides by 3

After adding 4 to both sides of the equation 3x - 4 = 5, what is the resulting equation?

• 3x = 9

• 3x = 1

• 3x = 0

• 3x = 5

How do you solve the equation 2/3t - 8 = 0 for t?

• Subtract 8 from both sides, then divide by 2/3

• Add 8 to both sides, then multiply by 3/2

• Multiply both sides by 2/3

• Divide both sides by 8

What is the result of dividing 8 by 2/3?

• 6

• 16

• 4

• 12

In the equation 5x = 18 + 2x, what is the first step to isolate x?

• Multiply both sides by 2

• Subtract 2x from both sides

• Add 2x to both sides

• Divide both sides by 5

What is the simplified form of the equation 5x - 2x = 18?

• 3x = 18

• 7x = 18

• x = 18

• 5x = 18

How do you solve the equation 3(x - 1) = -x - 5?

• Add x to both sides

• Distribute 3 and simplify

• Subtract 3 from both sides

• Multiply both sides by 3

What is the result of distributing 3 in the equation 3(x - 1)?

• 3x + 1

• 3x - 1

• 3x + 3

• 3x - 3

In the equation -5 - x = x + 3, what indicates that there is no solution?

• The equation has a fraction

• The equation simplifies to x = 0

• The variables are on both sides

• The variables cancel out leaving a false statement