Math 7: Expressions Review

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 two or more terms inside a set of parentheses.

Front

Simplify the expression: -9(7 + 4)

Back

-9(7) - 9(4) = -63 - 36 = -99.

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

How do you add linear expressions?

Back

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

Front

Add the following linear expressions: (17x – 17) + (–27x + 22)

Back

-10x + 5.

Front

What is factoring in algebra?

Back

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

Front

Factor the expression: 3x + 15

Back

3(x + 5).

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable.

Front

Add the following linear expressions: (26x + 90) + (–25x – 67)

Back

x + 23.

Front

What does it mean to subtract linear expressions?

Back

To subtract linear expressions, distribute the negative sign and then combine like terms.