Simplifying Algebraic Expressions

Front

What is the process of combining like terms in an algebraic expression?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

Define a constant in algebra.

Back

A constant is a number that does not change and does not have a variable associated with it.

Front

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

Back

The result is 7x + 10.

Front

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

Back

You combine the like terms to get 5x.

Front

Identify the constant in the expression 5g^3 + 2.

Back

The constant is 2.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parentheses.

Front

How do you simplify the expression 4a + 3b - 2a + 5?

Back

Combine like terms to get 2a + 3b + 5.

Front

What is the coefficient in the term 7x?

Back

The coefficient is 7, which is the number multiplying the variable x.

Front

Explain the difference between a variable and a constant.

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value that does not change.