Simplify Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which the highest power of the variable is one. It can be written in the form ax + b, where a and b are constants.

Front

What are like terms in an expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you simplify the expression 7v + 2 + 12 + 2v?

Back

Combine like terms: 7v + 2v = 9v and 2 + 12 = 14, so the simplified expression is 9v + 14.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression. For example, in 8x, 8 is the coefficient.

Front

Can you add the terms 3x and 7? Why or why not?

Back

No, you can't add them because they are not like terms; 3x is a term with a variable, while 7 is a constant.

Front

What is the result of simplifying -5(x + 4)?

Back

Distributing -5 gives -5x - 20.

Front

How many terms are in the expression 8 + 2y - 5x?

Back

There are three terms in the expression: 8, 2y, and -5x.

Front

What is the process of combining like terms?

Back

Combining like terms involves adding or subtracting the coefficients of terms that have the same variable and exponent.

Front

What is the simplified form of the expression 3x + 4x?

Back

The simplified form is 7x.