Solving Linear Equations with Fractions

What is the first step in solving linear equations involving fractions?

• Simplify both sides of the equation

• Add fractions directly

• Multiply both sides by zero

• Subtract the variable from both sides

When multiplying a fraction by a whole number, what should you do?

• Divide the numerators by the denominators

• Subtract the numerators from the denominators

• Multiply the numerators and denominators

• Add the numerators and denominators

How do you find a common denominator when adding fractions?

• Multiply the fractions directly

• Find the smallest number both denominators divide evenly into

• Add the denominators together

• Subtract the smaller denominator from the larger one

What is the reciprocal of 4?

• 4

• 2

• 1

• 1/4

What is the purpose of clearing denominators in an equation?

• To make the equation more complex

• To change the equation's solution

• To add more variables

• To eliminate fractions and simplify the equation

What is the lowest common multiple of 3, 2, 6, and 1?

• 12

• 6

• 3

• 18

After clearing denominators, what is the next step in solving the equation?

• Divide all terms by the largest coefficient

• Multiply all terms by zero

• Add all terms together

• Isolate the variables on one side

What is the result of multiplying two negative numbers?

• An undefined number

• Zero

• A negative number

• A positive number

What technique can be used to simplify fractions during multiplication?

• Cross-reducing

• Adding the fractions

• Subtracting the fractions

• Dividing the fractions

What is the final step in solving for a variable in an equation?

• Multiply by zero

• Add all terms together

• Subtract the variable from both sides

• Divide by the coefficient of the variable