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, 3x and 5x are like terms.

Front

How do you distribute a number across parentheses?

Back

To distribute a number across parentheses, multiply the number by each term inside the parentheses. For example, 2(3 + 4) = 2*3 + 2*4 = 6 + 8 = 14.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term in a sum or difference.

Front

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

Back

3.48x + 1.4

Front

What is the result of combining -5x and ¾(8x - 12)?

Back

x - 9

Front

Simplify: 2.5(-1.2x + 3)

Back

-3x + 7.5

Front

What is the result of -½(8w + 10)?

Back

-4w - 5

Front

Simplify: -3.4(x - 2.1) + 7x

Back

3.6x + 7.14