Solving Equations with Distributive Property

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 using the distributive property?

Back

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

Front

What is the first step in solving the equation 3x + 13 + 11 = -9?

Back

Combine like terms on the left side: 3x + 24 = -9.

Front

What is the solution to the equation 3x + 24 = -9?

Back

Subtract 24 from both sides to get 3x = -33, then divide by 3 to find x = -11.

Front

In the equation 3x - 5 + 13x = -37, what do you do first?

Back

Combine like terms: 16x - 5 = -37.

Front

What is the solution to the equation 16x - 5 = -37?

Back

Add 5 to both sides to get 16x = -32, then divide by 16 to find x = -2.

Front

How do you solve the equation 0 = -2(x - 7)?

Back

Distribute -2 to get 0 = -2x + 14, then isolate x to find x = 7.

Front

What does the equation -45 = 5(x + 1) represent?

Back

It represents a linear equation that can be solved by distributing 5 and isolating x.

Front

What is the solution to the equation -45 = 5(x + 1)?

Back

Distribute to get -45 = 5x + 5, then subtract 5 from both sides to find 5x = -50, and divide by 5 to get x = -10.

Front

How do you simplify the equation 8x + 7 - 4x = 23?

Back

Combine like terms: 4x + 7 = 23.