Adding and Subtracting Expressions

Front

What is the result of adding two algebraic expressions?

Back

To add two algebraic expressions, combine like terms by adding their coefficients and keeping the same variable.

Front

How do you identify 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.

Front

What is the process for subtracting one algebraic expression from another?

Back

To subtract one algebraic expression from another, distribute the negative sign to the second expression and then combine like terms.

Front

What is the result of (3x + 5) + (2x + 3)?

Back

The result is 5x + 8.

Front

What is the result of (2x + 3) + (x + 5)?

Back

The result is 3x + 8.

Front

How do you simplify the expression (8 - u) - (5u + 1)?

Back

Distribute the negative sign: 8 - u - 5u - 1 = 7 - 6u.

Front

What is the result of (x + 4) + (3x + 9)?

Back

The result is 4x + 13.

Front

What is the result of (2x - 6) + (4x - 4)?

Back

The result is 6x - 10.

Front

What are the steps to combine the expressions (a + b) + (c + d)?

Back

1. Identify like terms. 2. Add the coefficients of like terms. 3. Write the simplified expression.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression, such as 3 in 3x.