Simplifying 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

What does the term 'constant' refer to in an algebraic expression?

Back

A constant is a fixed value that does not change and does not contain any variables.

Front

How do you simplify the expression -r + (-7r) - 8?

Back

The simplified expression is -8r - 8.

Front

What is the process of combining like terms in algebra?

Back

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

Front

What is the simplified form of the expression 5a + a + 3?

Back

The simplified expression is 6a + 3.

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 simplified form of the expression 2c + 3b + c + 2?

Back

The simplified expression is 3b + 3c + 2.

Front

What is the importance of simplifying expressions in algebra?

Back

Simplifying expressions makes it easier to solve equations and understand relationships between variables.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, which can help in simplifying or solving equations.

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.