Solve Equations with Dist Practice - A

Front

What is the distributive property in mathematics?

Back

A property that allows us to multiply a sum by a number by multiplying each addend by the number and then adding the products.

Front

How can the distributive property be used in real-world applications?

Back

To calculate the total cost of items by distributing the price across the quantity.

Front

How does the distributive property help in solving the equation 3(x + 4) = 18?

Back

It allows us to expand the left side to 3x + 12, making it easier to isolate the variable x.

Front

What is the formula for the distributive property?

Back

a(b + c) = ab + ac.

Front

If 5(x + 2) = 25, what is the value of x?

Back

x = 3.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

How can you check if your solution to an equation is correct?

Back

By substituting the solution back into the original equation to see if both sides are equal.

Front

What is an example of using the distributive property with negative numbers?

Back

-3(x - 4) = -3x + 12.

Front

What is the first step in solving the equation 2(x + 5) = 20?

Back

Use the distributive property to expand the left side to 2x + 10.

Front

How do you solve the equation 4(x + 1) = 16?

Back

First, expand to 4x + 4 = 16, then isolate x to find x = 3.