Solving Equations with Distribution

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a multiplier across terms inside parentheses.

Front

How do you solve an equation with distribution?

Back

To solve an equation with distribution, first apply the distributive property to eliminate parentheses, then combine like terms and isolate the variable.

Front

What is the first step to solve the equation: -(n - 8) = -2?

Back

The first step is to distribute the negative sign: -n + 8 = -2.

Front

What is the solution to the equation: 2x + 3(5x - 7) = 47?

Back

The solution is x = 4.

Front

What operation should you perform first when solving for m in the equation: 10 + 7m = 17?

Back

You should first subtract 10 from both sides.

Front

What is the next operation after subtracting 10 in the equation: 10 + 7m = 17?

Back

The next operation is to divide by 7.

Front

How do you simplify the equation: -11 + 3(b + 5) = 7?

Back

First, distribute the 3: -11 + 3b + 15 = 7, then combine like terms.

Front

What is the solution to the equation: -11 + 3(b + 5) = 7?

Back

The solution is b = 1.

Front

How do you combine like terms in the equation: 5x - 4 + 2x = 3?

Back

Combine 5x and 2x to get 7x - 4 = 3.

Front

What is the solution to the equation: 5x - 4 + 2x = 3?

Back

The solution is x = 1.