Using substitution to evaluate 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 '12 more than a number'?

Back

The expression is x + 12, where x represents the unknown number.

Front

What is the distributive property in algebra?

Back

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

Front

What is the equivalent expression for 4(2x + 10y)?

Back

The equivalent expression is 8(x + 5y) after applying the distributive property.

Front

What is the value of m² when m = 5?

Back

The value of m² is 25, since 5² = 25.

Front

How do you evaluate an expression?

Back

To evaluate an expression, substitute the values of the variables into the expression and perform the arithmetic operations.

Front

What is the result of evaluating -2x when x = 10?

Back

The result is -20, since -2(10) = -20.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions or equations.

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

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change, such as the number 5 in the expression 3x + 5.