Algebraic Expressions Topic 4 Review

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression. For example, factoring 9x can give 3(3x).

Front

How do you factor the expression 45y - 18 + 81x?

Back

The expression can be factored as 9(5y - 2 + 9x).

Front

If Axel spent 5x + 4 dollars and Takis cost 3x + 1 dollars, how do you find the cost of the soda?

Back

To find the cost of the soda, subtract the cost of the Takis from the total spent: (5x + 4) - (3x + 1) = 2x + 3.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width: Area = length × width.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and reduce it to its simplest form. For example, simplifying 2x + 3x results in 5x.

Front

What is the result of simplifying 1/2k - 7 - 2k^2 + 3/4k - 5?

Back

The simplified expression is 1 1/4k - 12 - 2k^2.

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

Expand the expression -5(x - 2 + 3x).

Back

The expanded expression is -20x + 10.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.