Solving Equations and Inequalities

This video tutorial covers solving two-step equations through 22 examples. It begins with an introduction to the concept, followed by examples that demonstrate solving equations with addition, multiplication, decimals, and fractions. The tutorial also covers rearranging terms, handling variables on the right, and using the least common denominator to simplify equations. The video concludes with a summary and a preview of the next topic on multi-step equations.

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

• To find the value of the variable

• To simplify the equation

• To eliminate all numbers

• To make the equation more complex

In the equation 3x + 1 = 15, what should be the first step to isolate x?

• Multiply both sides by 3

• Subtract 1 from both sides

• Add 1 to both sides

• Divide both sides by 3

How can you rearrange the equation 2 + 3x = 14 to make it easier to solve?

• 2x + 3 = 14

• 3x + 2 = 14

• 2 = 14 - 3x

• 3x = 14 + 2

In the equation -3h + 20 = 2, what operation should be performed first?

• Multiply both sides by -3

• Subtract 20 from both sides

• Add 20 to both sides

• Divide both sides by -3

When dealing with decimals in equations, what is a useful strategy?

• Multiply by 10 to eliminate decimals

• Add decimals to both sides

• Convert them to fractions

• Ignore them

What is the first step in solving the equation 3l + 1/2 = 7/8?

• Add 1/2 to both sides

• Divide both sides by 3

• Subtract 1/2 from both sides

• Multiply both sides by 3

How can you eliminate fractions in an equation?

• Subtract fractions from both sides

• Add fractions to both sides

• Multiply by the least common denominator

• Divide by the largest fraction

In the equation -10t + 3 = -27, what should be done first?

• Add 3 to both sides

• Divide both sides by -10

• Subtract 3 from both sides

• Multiply both sides by -10

What is a common method to handle decimals in equations?

• Convert them to fractions

• Ignore them

• Multiply by 10 to eliminate decimals

• Add decimals to both sides

How can you simplify the equation 2/3m + 31/5 = 93/5?

• Divide by the largest fraction

• Multiply by 15 to eliminate fractions

• Add fractions to both sides

• Subtract fractions from both sides