Solve Equations with Dist Practice - B

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve the equation: -9(5c + 4)

Back

-45c - 36

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating parentheses.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the first step in solving the equation -9(5c + 4) = 0?

Back

Apply the distributive property to eliminate the parentheses.

Front

What is the result of applying the distributive property to -9(5c + 4)?

Back

-45c - 36

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation -45c - 36 = 0?

Back

c = -36 / -45 = 4/5.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming its correctness.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors.