Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that has variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

What is the first step in solving the equation 6z = 49 - z?

Back

Add z to both sides to combine like terms.

Front

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

Back

To manipulate the equation so that the variable is alone on one side, making it easy to find its value.

Front

Solve for z: 6z = 49 - z.

Back

z = 7.

Front

What is the solution to the equation 6x + 5 = 10 + 5x?

Back

x = 5.

Front

What is the goal of solving equations?

Back

To find the value of the variable.

Front

How do you solve the equation -49 - x = -8x + 70?

Back

Combine like terms and isolate x to find x = 17.

Front

What is the solution to the equation 12k + 15 = 35 + 2k?

Back

k = 2.

Front

What does it mean to combine like terms in an equation?

Back

To add or subtract terms that have the same variable raised to the same power.

Front

What is a coefficient in an equation?

Back

A number that multiplies a variable, such as the 6 in 6z.