Solving Equations Involving Fractions and Decimals

What is the first step in solving an equation with fractions?

• Multiply both sides by the denominator

• Divide both sides by the numerator

• Add the same number to both sides

• Subtract the same number from both sides

How do you handle a negative number on the same side as the variable?

• Add the same positive number to both sides

• Subtract the same positive number from both sides

• Multiply both sides by -1

• Divide both sides by -1

What is the result of 28 divided by two-thirds?

• 84

• 56

• 42

• 18

In Example 2, what is the first step to simplify the equation with variables on both sides?

• Add the same number to both sides

• Subtract the smaller variable term from both sides

• Multiply both sides by the same number

• Divide both sides by the same number

What is the value of r in the equation 0.75 = 0.3r?

• 2.5

• 3.0

• 1.5

• 2.0

What is the next step after subtracting 0.2r from both sides in Example 2?

• Add 0.2r to both sides

• Subtract 0.5r from both sides

• Divide both sides by 0.3

• Multiply both sides by 0.3

In Example 3, which fraction is smaller: seven-tenths or three-fifths?

• Cannot be determined

• They are equal

• Three-fifths

• Seven-tenths

What is the result of subtracting three-fifths from seven-tenths?

• 0.2

• 0.1

• 0.3

• 0.4

What is the final value of n in Example 3?

• 6

• 5

• 4

• 3

What is the purpose of drawing a line down the equal sign in the equations?

• To separate the variables

• To add fractions

• To balance both sides

• To simplify the equation