Equations and Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you solve the equation 3(x - 4) = -3?

Back

To solve 3(x - 4) = -3, first divide both sides by 3 to get x - 4 = -1, then add 4 to both sides to find x = 3.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

How do you apply the Distributive Property to the equation 4(x + 2) = 16?

Back

To apply the Distributive Property, multiply 4 by both x and 2 to get 4x + 8 = 16, then solve for x.

Front

What is an equivalent equation for 2(x + 3) = 18?

Back

An equivalent equation is 2x + 6 = 18.

Front

What is the first step in solving the equation (x/2) - 5 = 3?

Back

The first step is to add 5 to both sides to isolate the term with x, resulting in x/2 = 8.

Front

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

Back

Isolating a variable means to manipulate the equation so that the variable is on one side by itself.

Front

What is the solution to the equation 4(x + 2) = 16?

Back

The solution is x = 2.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations in an equation to isolate the variable and solve for it.

Front

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

Back

You can check your solution by substituting it back into the original equation to see if both sides are equal.