Solving Equations with Distribution

Front

What is the distributive property?

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: 4 - 2(x - 3) = 24

Back

x = -7

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

Solve the equation: 8v - 4(v + 8) = 8

Back

v = 10

Front

Which of the following is equivalent to -9(2g - 3)?

Back

-18g + 27

Front

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

Back

b = 1

Front

What does it mean to 'isolate the variable' in an equation?

Back

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

Front

What is the first step in solving the equation 5x + 3 = 18?

Back

Subtract 3 from both sides.

Front

Solve the equation: 3(x + 4) = 21

Back

x = 5

Front

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

Back

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