Algebraic Expressions

Front

What does the term 'exponent' refer to in mathematics?

Back

An exponent indicates how many times a number (the base) is multiplied by itself. For example, in 2^3 (2 cubed), 2 is multiplied by itself 3 times: 2 × 2 × 2.

Front

What does 'twice the quantity of' mean in algebraic expressions?

Back

It means to multiply the quantity by 2, often represented using parentheses. For example, 'twice the quantity of x' is written as 2(x).

Front

Identify an example of an algebraic expression.

Back

3x + 6y is an algebraic expression because it contains variables and coefficients.

Front

What is a variable in algebra?

Back

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

Front

What do the terms difference, minus, less than, and decreased by mean in mathematics?

Back

They all refer to the operation of subtraction.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations (like addition and multiplication) that represents a value.

Front

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

Back

You distribute the 2 to get 2x + 6.

Front

What does it mean to evaluate an expression?

Back

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

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression is a combination of numbers and variables without an equality sign.