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 does it mean to simplify an expression?

Back

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

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 inside a set of parentheses.

Front

How do you find the difference of two expressions?

Back

To find the difference of two expressions, subtract the second expression from the first. This involves distributing any negative signs and combining like terms.

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the result of simplifying (8 - u) - (5u + 1)?

Back

The result is -6u + 7.

Front

What is the result of simplifying (-11a + 7) - (11a - 7)?

Back

The result is -22a + 14.

Front

What is the result of simplifying (2x + 7) - 3(5x - 4)?

Back

The result is -13x + 19.

Front

How do you factor the expression 12x - 20?

Back

You can factor it as 4(3x - 5).