Solving Two-Step Equations with Integers

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

What is the first step to solve the equation 3x + 6 = -9?

Back

Subtract 6 from both sides to isolate the term with the variable.

Front

What is the solution to the equation 4y + 1 = 13?

Back

y = 3.

Front

How do you isolate the variable in the equation 2y + 10 = 28?

Back

Subtract 10 from both sides, then divide by 2.

Front

What is the solution to the equation 8 + 6x = 56?

Back

x = 8.

Front

What does it mean to 'isolate the variable'?

Back

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

Front

What operation would you perform first in the equation 3x + 6 = -9?

Back

Subtract 6 from both sides.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, helping to isolate it.

Front

If you have the equation 5x - 2 = 18, what is the first step to solve for x?

Back

Add 2 to both sides.

Front

What is the solution to the equation 7x + 14 = 0?

Back

x = -2.