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 it mean to evaluate an expression?

Back

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

Front

What is a variable in algebra?

Back

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

Front

What is a coefficient?

Back

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

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 3x + 5, 5 is a constant.

Front

How do you simplify the expression 3(e + 2)?

Back

To simplify, distribute the 3: 3(e + 2) = 3e + 6.

Front

What is the sum of 2 and a variable e?

Back

The sum of 2 and a variable e is expressed as e + 2.

Front

What is the quotient of a variable g and 8?

Back

The quotient of g and 8 is expressed as g/8.

Front

Evaluate the expression -5a - b for a = -6 and b = 3.

Back

Substituting the values: -5(-6) - 3 = 30 - 3 = 27.

Front

Evaluate the expression 5a + b for a = 6 and b = 3.

Back

Substituting the values: 5(6) + 3 = 30 + 3 = 33.