Adding and Subtracting Expressions

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you combine like terms in an expression?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the result of simplifying the expression 5(x - 4) + (2x - 7)?

Back

The result is 7x - 27.

Front

What does it mean to subtract an expression?

Back

Subtracting an expression involves distributing a negative sign across the terms of the expression being subtracted.

Front

How do you simplify the expression (6x + 9) - (4x + 6)?

Back

You simplify it to 2x + 3 by combining like terms.

Front

What is the result of the expression (10x + 2) - (8x - 4)?

Back

The result is 2x + 6.

Front

What is the process for adding two algebraic expressions?

Back

To add two algebraic expressions, combine like terms by adding their coefficients.

Front

What is the result of the expression 2(x + 3) + (3x + 1)?

Back

The result is 5x + 7.

Front

How do you simplify the expression (3x + 5) + (2x + 3)?

Back

You simplify it to 5x + 8 by combining like terms.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions.