Simplifying Rational Expressions with Decimals and Fractions

The video tutorial focuses on simplifying algebraic expressions with complex numbers, including decimals and fractions. It begins with an example using decimals, demonstrating how to combine like terms. The next section covers simplifying expressions with fractions, rearranging terms to combine like terms. The final section introduces the distributive property, showing how to distribute a number across terms in parentheses to simplify the expression. Each section encourages viewers to pause and attempt simplification before the solution is presented.

What is the result of combining -8.55c and 4.35c?

• -12.9c

• 12.9c

• 4.2c

• -4.2c

Tags

CCSS.7.EE.A.1

How do you simplify the expression -5.55 - 4.2c?

• -9.75

• -1.35

• -9.75c

• -5.55 - 4.2c

Tags

CCSS.7.EE.A.1

How do you interpret the operation -8.55c + 4.35c in terms of combining like terms?

• Adding coefficients of like terms

• Subtracting coefficients

• Multiplying coefficients

• Dividing coefficients

Tags

CCSS.7.EE.A.1

What does the expression -5.55 - 4.2c represent in terms of variable involvement?

• None of the above

• A constant term and a variable term

• Only variable terms

• Only constant terms

Tags

CCSS.6.EE.A.2B

What is the simplified form of two-fifths m minus three-fifths m?

• five-fifths m

• one-fifth m

• -one-fifth m

• zero m

Tags

CCSS.7.EE.A.1

What is the result of subtracting four-fifths from negative one-fifth m?

• three-fifths m

• -one-fifth m - four-fifths

• -three-fifths m

• one-fifth m + four-fifths

Tags

CCSS.7.EE.A.1

In the context of fractions, what does combining two-fifths m and negative three-fifths m yield?

• one-fifth m

• -one-fifth m

• zero m

• five-fifths m

Tags

CCSS.7.EE.A.1

What is the significance of rearranging terms before combining in fractional expressions?

• It clarifies which terms can be combined

• It changes the value of the expression

• It introduces new terms

• It has no effect on the expression

Tags

CCSS.HSA.APR.D.7

What does distributing the 2 across the terms in the expression result in?

• -two-fifths m + one-fifth

• four-fifths m - two-fifths

• two-fifths m - one-fifth

• two-fifths m + one-fifth

Tags

CCSS.6.EE.A.3

What is the final simplified form of the expression after distribution and combining terms?

• two-fifths m + one-fifth

• one-fifth m - two-fifths

• -one-fifth m + two-fifths

• two-fifths m - one-fifth

Tags

CCSS.7.EE.A.1