Solving Equations with Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you multiply a single term by each term inside the parentheses.

Front

Solve the equation: 6(3x - 5) - 7x = 25

Back

x = 5

Front

Solve the equation: 3(2x + 5) = 39

Back

x = 4

Front

What do you do when you see parentheses in an equation?

Back

You apply the Distributive Property to eliminate the parentheses by multiplying.

Front

What is the first step in solving the equation: 4(x + 2) = 28?

Back

Distribute 4 to both x and 2, resulting in 4x + 8 = 28.

Front

Identify if this equation has one solution, infinitely many solutions, or no solution: -3x + 1 = x + 9 - 4x.

Back

No solution.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that any value for the variable will satisfy the equation.

Front

What is the solution to the equation: 2(x - 3) + 4 = 10?

Back

x = 8.

Front

What is the purpose of the Distributive Property in solving equations?

Back

It helps simplify expressions and make it easier to isolate the variable.

Front

Solve the equation: 5(2x + 1) = 30.

Back

x = 2.