Solving Equations with Variables and Fractions

What is the first step in solving equations with variables on both sides?

• Convert all fractions to decimals

• Set up an equation

• Guess and check

• Make a table

Why is it not always efficient to convert fractions to decimals?

• Decimals are harder to work with

• Not all fractions convert to terminating decimals

• Fractions are easier to solve

• Decimals can't be used in equations

What is the least common denominator (LCD) of 2, 5, and 10?

• 2

• 5

• 20

• 10

What does 'clearing the fractions' mean in solving equations?

• Dividing each term by the greatest common divisor

• Multiplying each term by the LCD

• Eliminating all variables

• Converting fractions to decimals

After clearing fractions, what should you do next?

• Combine like terms

• Draw a table

• Convert to decimals

• Guess the solution

How can decimals be cleared in an equation?

• By adding 100 to each term

• By dividing each term by 100

• By multiplying each term by 100

• By multiplying each term by 10

What is the result of 8.35x - 4.25x?

• 4.10x

• 12.60

• 12.60x

• 4.10

Why might it be beneficial to avoid using a calculator immediately?

• Calculators are not allowed

• To save time

• Calculators are often incorrect

• To improve mental math skills

What is the solution to the equation 8.35x = 4.25x + 36.90 after clearing decimals and simplifying?

• x = 7

• x = 10

• x = 9

• x = 8

Why is it important to test your solution in the original equation?

• To find alternative solutions

• Because it's easier than solving

• To practice more math

• To ensure the solution is correct