Solving Linear Equations with Mixed Numbers

What is the first step in converting a mixed number to an improper fraction?

• Add the numerator to the denominator

• Multiply the whole number by the denominator

• Divide the numerator by the denominator

• Subtract the numerator from the whole number

How do you convert an improper fraction to a mixed number?

• Subtract the denominator from the numerator

• Multiply the numerator by the denominator

• Add the numerator to the denominator

• Divide the numerator by the denominator

What is a common misunderstanding when solving equations with mixed numbers?

• The numerator should be larger than the denominator

• Mixed numbers cannot be converted to improper fractions

• There is only one method to solve the equation

• The denominator must always be 1

What is an alternative method to solve an equation with a fraction?

• Multiply both sides by the fraction

• Subtract the fraction from both sides

• Multiply both sides by the reciprocal of the fraction

• Add the fraction to both sides

In the second example, what is the first step to simplify the equation?

• Combine like terms on the left

• Distribute on the left

• Add a constant to both sides

• Multiply both sides by a fraction

What operation is equivalent to dividing by 73 in the final step?

• Subtracting 73

• Multiplying by 1/73

• Adding 73

• Multiplying by 73

What should be done to maintain equality when transforming an equation?

• Only change the left side

• Perform the same operations on both sides

• Perform different operations on each side

• Ignore the denominators