Simplifying Expressions and Distributive Property

The video tutorial explains how to simplify algebraic expressions by distributing fractions and combining like terms. It covers three examples: simplifying 3/8(x-4), -7/8(4x+5), and -7/6(4x-3)+1/6. The process involves distributing the fractions, simplifying the resulting terms, and rewriting expressions in a more common form. The tutorial emphasizes the importance of recognizing common factors and converting subtraction of negatives into addition of positives.

What is the first step in simplifying the expression three-eighths times the quantity x minus four?

• Add fractions

• Factor out common terms

• Distribute three-eighths

• Combine like terms

How do you simplify the term three-eighths times four?

• Multiply directly

• Add the numerators

• Simplify using common factors

• Convert to a common denominator

What is the simplified form of the expression three-eighths x minus three halves?

• Three-eighths x plus three-eighths

• Three-eighths x plus three halves

• Three-eighths x minus three halves

• Three-halves x minus three-eighths

What is the first step in simplifying the expression negative seven-eighths times the quantity four x plus five?

• Factor out common terms

• Combine like terms

• Add fractions

• Distribute negative seven-eighths

How do you rewrite the expression negative seven halves x plus negative 35 eighths?

• Negative seven halves x minus 35 eighths

• Negative seven halves x plus 35 halves

• Negative seven halves x plus 35 eighths

• Negative seven halves x minus 35 halves

What is the first step in simplifying the expression negative seven-sixths times the quantity four x minus three plus one-sixth?

• Distribute negative seven-sixths

• Combine like terms

• Factor out common terms

• Add fractions

How do you simplify the term negative seven-sixths times four x?

• Add the numerators

• Simplify using common factors

• Convert to a common denominator

• Multiply directly

What is the simplified form of the expression negative 14 thirds x plus 22 sixths?

• Negative 14 thirds x plus 11 sixths

• Negative 14 thirds x plus 22 thirds

• Negative 14 thirds x plus 22 sixths

• Negative 14 thirds x plus 11 thirds

What is the equivalent operation to subtracting a negative number?

• Multiplying by a negative number

• Adding a positive number

• Dividing by a positive number

• Subtracting a positive number

What common factor is used to simplify the fraction 22 sixths?

• Three

• Four

• Five

• Two