Algebraic Expressions

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Front

Identify the coefficient in the expression 7 + \frac{m}{2}.

Back

The coefficient of m is \frac{1}{2}.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change, represented by a number in an expression.

Front

Identify the constant in the expression 'Twelve increased by the quotient of a number and nine'.

Back

The constant is 12.

Front

How do you evaluate an expression for a given value of a variable?

Back

Substitute the given value of the variable into the expression and simplify.

Front

Evaluate the expression 3a^2 - (a - 1) when a = 3.

Back

The value is 25.

Front

What does 'twice the difference of a number and eleven' mean in algebraic terms?

Back

It translates to 2(n - 11).

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols.

Front

What is the difference between a term and a factor in algebra?

Back

A term is a single mathematical expression, while a factor is a number or variable that divides another number or expression.

Front

What is the role of parentheses in algebraic expressions?

Back

Parentheses indicate the order of operations and group terms together.