Algebraic Expressions and Distributive Property

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 2x + 3 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

Write an expression for the total cost to download 'g' games at $0.99 each with a $12.49 membership fee.

Back

0.99g + 12.49

Front

Evaluate (y + z)² when y = 5 and z = 2.

Back

49

Front

Simplify the expression 9(2g + 3).

Back

18g + 27

Front

Use the distributive property to simplify 5(b + 8).

Back

5b + 40

Front

What is the result of -8(10x - 2y) using the distributive property?

Back

-80x + 16y

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 3x + 2, 'x' is a variable.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with given numbers.