Solving Equations with the Distributive Property

What does the distributive property allow you to do?

• Add two numbers together

• Multiply a single term by each term inside a parenthesis

• Divide a number by another number

• Subtract one number from another

In the equation 4(8 - c) = 8c + 16 - 6c, what is the first step using the distributive property?

• Combine like terms

• Multiply 4 by 8 and 4 by c

• Add 4 to both sides

• Subtract 16 from both sides

After applying the distributive property to 4(8 - c), what is the resulting expression?

• 8c + 16

• 32 + 4c

• 32 - 4c

• 4c - 32

What is the value of c in the equation 4(8 - c) = 8c + 16 - 6c?

• 1/2

• 4

• 8/3

• 2

In the equation 3e - 8 = 2(e - 4), what is the first step using the distributive property?

• Combine like terms

• Multiply 2 by e and 2 by -4

• Subtract 2e from both sides

• Add 8 to both sides

What is the value of e in the equation 3e - 8 = 2(e - 4)?

• 4

• 0

• 2

• 1

How can you eliminate fractions in an equation using the distributive property?

• Subtract the denominator from both sides

• Divide both sides by the numerator

• Multiply both sides by the denominator

• Add the numerator to both sides

If each cake requires 1 1/4 cups of sugar and you need a total of 12 cups for 8 cakes, how much sugar is needed for the filling of one cake?

• 1 cup

• 1/4 cup

• 2 cups

• 1/2 cup

In a rectangle where the length is 7 feet longer than the width and the perimeter is 26 feet, what is the width?

• 3 feet

• 4 feet

• 6 feet

• 5 feet

Given the width of the rectangle is 3 feet, what is the length?

• 7 feet

• 10 feet

• 8 feet

• 5 feet