Solving Multi-Step Equations for Geometry Success

The video tutorial covers solving one-step and multi-step equations, emphasizing the use of the distributive property and techniques for isolating variables. It also addresses handling and clearing fractions in equations, providing multiple methods to achieve solutions. The tutorial encourages understanding different approaches to solving equations and verifying solutions.

Why is it important to be proficient in solving equations?

• It is necessary for passing exams.

• It is a basic life skill.

• It is required for all science subjects.

• It helps in understanding advanced mathematics.

What is the first step in solving an equation with the distributive property?

• Combine like terms.

• Distribute the multiplication over addition or subtraction.

• Isolate the variable.

• Subtract the same number from both sides.

When isolating the variable, what can you do if you have variables on both sides of the equation?

• Add the variables together.

• Divide both sides by the variable.

• Subtract the smaller variable from both sides.

• Move all variables to one side.

How do you handle fractions when solving equations?

• Ignore the fractions.

• Add the fractions together.

• Multiply both sides by the least common multiple of the denominators.

• Convert them to decimals.

What is the least common multiple of 2 and 5?

• 10

• 25

• 15

• 20

What is the result of multiplying 10 by one-half?

• 20

• 10

• 5

• 2

In the equation 4X + 50 = -80, what is the first step to isolate X?

• Subtract 50 from both sides.

• Add 50 to both sides.

• Divide both sides by 4.

• Multiply both sides by 4.

What is the least common multiple of 3, 4, and 6?

• 18

• 6

• 24

• 12

What is the simplified form of 5/4?

• 1.25

• 1.5

• 1.75

• 2.0

What is the final step in solving the equation 4X = 5?

• Add 4 to both sides.

• Subtract 4 from both sides.

• Multiply both sides by 4.

• Divide both sides by 4.