Simplifying expressions and like terms

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 5g^3 + 2, the constant is 2.

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power. For example, -6k + 7k simplifies to k.

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. In -3c + 7d, there are two terms.

Front

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

Back

To evaluate an expression, substitute the given value for the variable and perform the arithmetic operations. For example, for 3x + 8 with x = 2, substitute to get 3(2) + 8 = 14.

Front

What is the process of simplifying an expression?

Back

Simplifying an expression involves combining like terms and performing arithmetic operations to reduce it to its simplest form.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 3y are not.

Front

What is the coefficient in an algebraic term?

Back

The coefficient is the numerical factor in a term. In the term 5g^3, 5 is the coefficient.

Front

How do you identify the number of terms in an expression?

Back

Count the number of distinct parts in the expression that are separated by addition or subtraction. For example, in -3c + 7d, there are two terms.

Front

What is the result of combining -15w and -19w?

Back

Combining -15w and -19w results in -34w.

Front

What does it mean to simplify an expression like -6k + 7k?

Back

It means to combine the coefficients of like terms to get a single term, resulting in k.