Solving Equations with Variables on Both Sides

Front

What is a variable in an equation?

Back

A symbol (like x or v) that represents an unknown number.

Front

What does it mean to solve an equation?

Back

Finding the value of the variable that makes the equation true.

Front

What is the first step in solving an equation with variables on both sides?

Back

Combine like terms on each side of the equation.

Front

What does it mean to isolate the variable?

Back

To get the variable by itself on one side of the equation.

Front

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

Back

To undo operations and isolate the variable.

Front

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

Back

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

Front

What is the equation: -15v - 40 = 23 - 8v solved for v?

Back

v = -9.

Front

What is the solution for y in the equation: 5y + 34 = -2(-7y + 1)?

Back

y = 4.

Front

What is the solution for x in the equation: 4(1 - x) + 3x = -2(x + 1)?

Back

x = -6.

Front

What is the solution for x in the equation: 2(4x - 3) - 8 = 4 + 2x?

Back

x = 3.