12/13 Solving Equations with Variable on Both Sides Flashcard

Front

What is the first step to solve the equation 4( x + 2) = 16?

Back

Distribute 4 to both x and 2, resulting in 4x + 8 = 16.

Front

What is the solution to the equation 4( x + 2) = 16?

Back

x = 2.

Front

What is the goal when solving an equation?

Back

Isolate the variable.

Front

What is the first step to solve the equation 1 + 4n - 6n = 1 - 8n?

Back

Combine the like terms 4n and -6n.

Front

What is the solution to the equation 5k + 21 = 17k - 3?

Back

k = 2.

Front

What does it mean to isolate a variable in an equation?

Back

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

Front

What is the first step to solve the equation -3(x - 2) = -8 + 9b?

Back

Distribute -3 to both x and -2.

Front

What is a like term in algebra?

Back

Terms that have the same variable raised to the same power.

Front

How do you combine like terms?

Back

Add or subtract the coefficients of the like terms.

Front

What is the purpose of checking the solution of an equation?

Back

To verify that the solution satisfies the original equation.