Solving Equations with Variables on Both Sides

Front

What is the first step to solve -3(x - 2) = -8 + 9b?

Back

Distribute -3 to the x and -2.

Front

What is the solution to the equation 7(5x + 2) = 3x + 14?

Back

x = 0.

Front

Solve for x: 2.7x - 3.3 = 1.8x + 0.3. Write solution in the form x =

Back

x = 4.

Front

What is the first step to solve 1 + 4n - 6n = 1 - 8n?

Back

Combine the like terms 4n + -6n.

Front

What is the goal when solving an equation?

Back

Isolate the variable.

Front

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

Back

To get the variable alone on one side of the equation.

Front

What is a variable in an equation?

Back

A symbol (often a letter) that represents an unknown value.

Front

What does it mean to combine like terms?

Back

To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

a(b + c) = ab + ac.

Front

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

Back

Substitute the solution back into the original equation.