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

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and performing any necessary arithmetic operations.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms.

Front

How do you distribute in an expression?

Back

To distribute means to multiply a term outside the parentheses by each term inside the parentheses. For example, a(b + c) = ab + ac.

Front

Simplify: 0.4x + 1.4(2.2x + 1)

Back

3.48x + 1.4

Front

What is the first step in simplifying -5x + ¾(8x - 12)?

Back

The first step is to distribute ¾ to both terms inside the parentheses: ¾ * 8x and ¾ * -12.

Front

Simplify: -5x + ¾(8x - 12)

Back

x - 9

Front

What does the term 'combine like terms' mean?

Back

Combining like terms means to add or subtract coefficients of terms that have the same variable.

Front

Simplify: ⅔(x - 3) - 4

Back

⅔x - 6

Front

What is the purpose of parentheses in an expression?

Back

Parentheses indicate which operations should be performed first in an expression according to the order of operations.