Solving Equations Involving Fractions and Decimals

This video tutorial covers lesson 1.4 on solving linear equations, including those with fractions and decimals. It begins with a review of PEMDAS and the distributive property, followed by techniques for handling equations with decimals. The tutorial then explores methods for solving equations with fractions, emphasizing the importance of eliminating fractions for simplicity. Finally, it demonstrates solving proportions using cross multiplication. The video aims to equip students with strategies to tackle various types of linear equations effectively.

What does the 'P' in PEMDAS stand for?

• Parentheses

• Polynomials

• Powers

• Products

When using the distributive property, what should you be careful about?

• Only multiplying the first term

• Adding the terms directly

• Distributing the sign correctly

• Ignoring the parentheses

What is the first step in combining like terms?

• Moving terms across the equal sign

• Simplifying both sides of the equation

• Multiplying all terms by a common factor

• Identifying terms on the same side

How can you eliminate decimals in an equation?

• By adding the same number to all terms

• By multiplying all terms by 10

• By subtracting the same number from all terms

• By dividing all terms by 10

What should you do if all terms in an equation have the same number of decimal places?

• Multiply all terms by 10

• Divide all terms by 10

• Subtract the same number from all terms

• Add the same number to all terms

What is the goal when solving equations with fractions?

• To add fractions to both sides

• To divide fractions on both sides

• To eliminate the fractions by multiplying

• To subtract fractions from both sides

What number should you multiply by to eliminate fractions with denominators 3 and 12?

• 3

• 6

• 9

• 12

What is the first step in solving a proportion?

• Cross-multiplying

• Simplifying the fractions

• Adding the numerators

• Dividing the denominators

When cross-multiplying, what should you do after multiplying?

• Add the results

• Subtract the results

• Divide the results

• Distribute and simplify

How do you reduce the fraction 10/24?

• Divide both numerator and denominator by 2

• Multiply both numerator and denominator by 2

• Add 2 to both numerator and denominator

• Subtract 2 from both numerator and denominator