Solving Equations With Variables On Both Sides Distributive Property

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

How do you solve an equation with variables on both sides?

Back

To solve an equation with variables on both sides, first, isolate the variable by moving all terms containing the variable to one side and constant terms to the other side.

Front

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

Back

Distribute -3 to both f and -8, resulting in -3f + 24 = 39.

Front

What do you do after distributing in an equation?

Back

Combine like terms and isolate the variable by moving terms to one side of the equation.

Front

Solve for f: -3(f - 8) = 39.

Back

f = -5.

Front

What is the solution to the equation 9(2x + 8) = 270?

Back

x = 11.

Front

How do you simplify 6(2n + 5)?

Back

Distribute 6 to both 2n and 5, resulting in 12n + 30.

Front

What is the solution to the equation 6(2n + 5) = 66?

Back

n = 3.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to get the variable alone on one side of the equation, making it easier to solve.

Front

What is the result of distributing 6 in the expression 6(2x + 2)?

Back

The result is 12x + 12.