Solving Equations Flashcard 1

Front

What is the first step to solve the equation 3x + 2 = 44?

Back

Subtract 2 from both sides to isolate the term with x.

Front

How do you isolate the variable in the equation 12 - 6y = 24?

Back

Subtract 12 from both sides and then divide by -6.

Front

What is the solution to the equation 3x + 2 = 44?

Back

x = 14.

Front

What is the solution to the equation 12 - 6y = 24?

Back

y = -2.

Front

How do you solve the equation 12x + 1 = 6x - 47?

Back

First, subtract 6x from both sides, then isolate x.

Front

What is the first step in solving the equation 12x + 1 = 6x - 47?

Back

Subtract 6x from both sides to get 6x + 1 = -47.

Front

What is the final step to solve for x in the equation 6x + 1 = -47?

Back

Subtract 1 from both sides and then divide by 6.

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 importance of checking your solution after solving an equation?

Back

To ensure that the solution satisfies the original equation.

Front

What is the solution to the equation 12x + 1 = 6x - 47?

Back

x = -8.