Solving First Degree Equations

This tutorial demonstrates how to solve first degree equations through four examples. It covers isolating variables, handling equations with fractions, and provides step-by-step solutions. The video concludes with a call to support the channel and offers additional resources for further learning.

What is the main goal when solving a first degree equation?

• To find multiple solutions

• To isolate the variable

• To eliminate all variables

• To convert it into a second degree equation

In the equation -3 + X = 12 - 4X, what is the first step to isolate X?

• Add 3 to both sides

• Subtract 12 from both sides

• Add 4X to both sides

• Subtract X from both sides

What happens to the sign of a term when it is moved across the equation?

• It remains the same

• It is multiplied by 2

• It becomes positive

• It becomes negative

How do you handle a negative coefficient when isolating a variable?

• Add it to both sides

• Divide both sides by it

• Multiply it by -1

• Ignore it

In the equation 9Z = -2Z + 7, what is the first step to solve for Z?

• Add 2Z to both sides

• Multiply both sides by 9

• Divide both sides by 2

• Subtract 7 from both sides

What is the result of combining like terms in the equation 9Z + 2Z?

• 18Z

• 7Z

• 1Z

• 11Z

What is the primary goal when dealing with fractions in an equation?

• To ignore them

• To convert them to decimals

• To find the lowest common multiple

• To add more fractions

How do you eliminate a fraction in an equation?

• Add the denominators

• Multiply the entire equation by the lowest common multiple

• Divide by the largest denominator

• Subtract the numerators

What is the solution to the equation after eliminating the fraction in Example C?

• a = -17/24

• a = 17/24

• a = -24/17

• a = 24/17

In Example D, what is the first step to handle multiple fractions?

• Convert fractions to decimals

• Find a common multiple for the denominators

• Ignore the fractions

• Add all fractions together