Translating, Writing, and Evaluating 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, 2x + 3 is an algebraic expression.

Front

What does it mean to evaluate an algebraic expression?

Back

To evaluate an algebraic expression means to substitute the values of the variables into the expression and perform the operations to find a numerical value.

Front

Evaluate the expression: 2x + x² for x = 3.

Back

15

Front

What is the distributive property in algebra?

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

Evaluate the expression: 3(2x + z) when x = 8 and z = 2.

Back

54

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction. For example, in 4x + 5, 4x and 5 are terms.

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and reduce it to its simplest form.

Front

Evaluate the expression: 6a - 3d when a = 1 and d = 2.

Back

0

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

Write an algebraic expression for: 'the product of 3 and x increased by 5'.

Back

3x + 5