Modeling and Solving Equations with variables on both sides

Front

What is the first step in solving the equation -8y = -3y - 15?

Back

Combine like terms by adding 3y to both sides: -8y + 3y = -15.

Front

What is the inverse operation of division?

Back

Multiplication.

Front

What is the goal of solving one, two, or multi-step equations?

Back

Find the value of the variable.

Front

How do you isolate the variable in the equation 7w + 5 = 3w - 15?

Back

Subtract 3w from both sides and then subtract 5 from both sides.

Front

What is the solution to the equation 12x - 15 = 3(2x + 3)?

Back

x = 4.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears on both the left and right sides of the equation.

Front

How do you solve the equation 5x + 2 = 3x + 10?

Back

Subtract 3x from both sides and then subtract 2 from both sides to isolate x.

Front

What is a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable.

Front

What is the first step in solving the equation 4x - 7 = 2x + 5?

Back

Subtract 2x from both sides.

Front

What does it mean to combine like terms?

Back

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