Algebraic Expressions

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 the distributive property state?

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

Solve using the distributive property: 3(x - 6)

Back

3x - 18

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.

Front

Factor the expression: 4x + 30y

Back

2(2x + 15y)

Front

What is a like term?

Back

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

Front

Combine the like terms: 2x + x - 4y

Back

3x - 4y

Front

What is the sum of seven and x expressed as an algebraic expression?

Back

7 + x

Front

If Carla and her sisters each earned 9 dollars for babysitting, how can we express their total earnings?

Back

9x, where x is the number of sisters.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.