Solving Equations with Distribution

Front

What is distribution in mathematics?

Back

Distribution is a property that allows you to multiply a single term by each term inside a set of parentheses. For example, a(b + c) = ab + ac.

Front

Solve the equation: 4 - 2(x - 3) = 24

Back

x = -7

Front

What is the first step in solving the equation -3(f - 8) = 39?

Back

Distribute -3 to f and -8.

Front

Solve the equation: 3x + 2(4x - 4) = 3

Back

x = 1

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 and all other terms are on the opposite side.

Front

Solve the equation: -11 + 3(b + 5) = 7

Back

b = 1

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

Solve the equation: 2x + 3(5x - 7) = 47

Back

x = 4

Front

What is the distributive property formula?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you check your solution after solving an equation?

Back

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