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

What is a literal coefficient in an algebraic expression?

Back

A literal coefficient is the part of an algebraic term that contains letters (variables). For example, in the term 5xy, 'xy' is the literal coefficient.

Front

How do you combine like terms in an algebraic expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable parts. For example, 3x + 4x = 7x.

Front

What is the difference between like terms and unlike terms?

Back

Like terms have the same variable parts raised to the same powers, while unlike terms have different variable parts or powers.

Front

Evaluate the expression 5x + 3 when x = 2.

Back

5(2) + 3 = 10 + 3 = 13.

Front

What is the value of the expression 30 - z when z = 31?

Back

30 - 31 = -1.

Front

How do you evaluate an expression with a variable?

Back

Substitute the value of the variable into the expression and then perform the arithmetic operations.

Front

What is the result of adding two identical algebraic expressions, such as 123xyz + 123xyz?

Back

The result is 2 times the expression, so 123xyz + 123xyz = 246xyz.

Front

Identify the unlike terms from the following: 123a, 89x, 98y.

Back

The unlike terms are 123a, 89x, and 98y because they have different variable parts.

Front

What is the process of simplifying an algebraic expression?

Back

Simplifying an algebraic expression involves combining like terms and reducing the expression to its simplest form.