Math: Chapter 7 Review --> Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

How do you write an expression for the number of items left after some are taken away?

Back

If you start with 'x' items and 'y' items are taken away, the expression for the remaining items is 'x - y'.

Front

What is the distributive property?

Back

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

Front

Simplify the expression: 4(x + 5).

Back

4x + 20.

Front

What is the result of applying the distributive property to 3(2 + x)?

Back

6 + 3x.

Front

How do you factor the expression 15x + 10?

Back

5(3x + 2).

Front

What is the purpose of factoring in algebra?

Back

Factoring is used to simplify expressions, solve equations, and find roots of polynomials.

Front

What property is demonstrated by the equation 5(x + 3) = 5x + 15?

Back

Distributive property.

Front

How do you simplify the expression 2(3x + 4) - 5?

Back

6x + 8 - 5 = 6x + 3.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.