Simplifying Expressions with Fractions

This video tutorial explains the distributive property in algebra, demonstrating how to distribute fractions across expressions. It covers four examples: one-third times the quantity x plus eight, three-fourths times the quantity x minus six, negative one-fifth times the quantity x plus seven, and negative two-thirds times the quantity six x minus five. Each example is broken down step-by-step, showing how to simplify the expressions and handle negative fractions. The tutorial concludes with a summary of the key points covered.

What is the result of distributing one-third over the expression x + 8?

• 1/3x + 8

• 1/3x + 8/3

• x/3 + 8

• 3x + 8/3

How do you simplify the expression 1/3 times 8?

• 24

• 1/24

• 3/8

• 8/3

What is the simplified form of 3/4 times the expression x - 6?

• 3x - 6

• 3/4x + 9/2

• 3/4x - 9/2

• 3/4x - 6

When simplifying 3/4 times 6, what is the result?

• 9/2

• 6/4

• 3/2

• 12

What is the result of distributing negative one-fifth over x + 7?

• -1/5x + 7

• 1/5x - 7/5

• -1/5x - 7/5

• -1/5x + 7/5

How do you express negative one-fifth times 7?

• -1/35

• 35

• -7/5

• 7/5

What is the simplified expression for negative two-thirds times the quantity 6x - 5?

• -2x + 5/3

• 4x - 10/3

• -4x - 10/3

• -4x + 10/3

How do you simplify negative two-thirds times 5?

• 5/3

• -5/3

• 10/3

• -10/3

What is the result of simplifying negative two-thirds times 6x?

• -4x

• 4x

• 12x

• -12x

What is the equivalent expression for subtracting a negative number?

• Dividing by a positive

• Subtracting a positive

• Adding a positive

• Multiplying by a negative