Expressions

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you simplify an expression by combining like terms?

Back

To simplify an expression by combining like terms, group terms that have the same variable raised to the same power and add or subtract their coefficients.

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.

Front

How many terms are in the expression 3x + 4y - 5 + 2x?

Back

There are 4 terms in the expression: 3x, 4y, -5, and 2x.

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 the result of simplifying the expression 5(2x + 6)?

Back

The result is 10x + 30.

Front

What is the process of simplifying the expression 7v + 2 + 12 + 2v?

Back

Combine like terms: 7v + 2v = 9v and 2 + 12 = 14, resulting in 9v + 14.

Front

What is a coefficient in an algebraic expression?

Back

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

Front

How do you identify like terms in an expression?

Back

Like terms are terms that have the same variable raised to the same power, regardless of their coefficients.

Front

What is the value of the expression 24 - 4t when t = 4?

Back

The value is 8, calculated as 24 - 4(4) = 24 - 16 = 8.