Simplifying Expressions with Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you distribute a negative fraction across a parenthesis?

Back

To distribute a negative fraction, multiply each term inside the parentheses by the negative fraction, changing the sign of each term.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

How do you handle fractions when simplifying expressions?

Back

When simplifying expressions with fractions, find a common denominator if necessary, and combine or simplify the fractions accordingly.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

What is the result of simplifying -¾(x - ½) + ⅝?

Back

The result is -¾x + 1.

Front

How do you simplify the expression -5x + ¾(8x - 12)?

Back

Distributing ¾ gives -5x + 6x - 9, which simplifies to x - 9.

Front

What is the simplified form of ⅔(x - 3) - 4?

Back

The simplified form is ⅔x - 6.

Front

How do you simplify the expression 5.45 + 3(0.5g + 0.2)?

Back

Distributing 3 gives 5.45 + 1.5g + 0.6, which simplifies to 1.5g + 6.05.