Equations - Variables on both sides

Front

What is the first step to solve an equation with variables on both sides?

Back

The first step is to isolate one of the variables by moving all terms involving that variable to one side of the equation.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of the same variable.

Tags

CCSS.7.EE.A.1

Front

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

Back

Isolating a variable means to manipulate the equation so that the variable is alone on one side of the equation.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation -x - 163 = 12x + 84?

Back

The solution is x = 19.

Front

How do you check if your solution to an equation is correct?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Tags

CCSS.6.EE.B.5

Front

What is the solution to the equation -2y + 8 = 4y - 10?

Back

The solution is y = 3.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance ensures that whatever operation you perform on one side of the equation must also be performed on the other side.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation -38 + 6x = 52 + 3x?

Back

The solution is x = 30.

Front

What is the process of moving terms from one side of the equation to the other called?

Back

This process is called 'transposing' or 'rearranging' the equation.

Front

What is the solution to the equation -7x - 36 = 20 - 3x?

Back

The solution is x = -14.