Solving Equations with Variables on Both Sides

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What are variables in an equation?

Back

Variables are symbols (usually letters) that represent unknown values in an equation.

Front

What is the goal when solving equations with variables on both sides?

Back

The goal is to isolate the variable on one side of the equation to find its value.

Front

What is the first step in solving the equation 2(4x - 3) - 8 = 4 + 2x?

Back

Distribute the 2 on the left side: 8x - 6 - 8 = 4 + 2x.

Front

How do you combine like terms in an equation?

Back

Combine terms that have the same variable and exponent to simplify the equation.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance means that whatever operation you perform on one side of the equation must also be performed on the other side to keep the equation true.

Front

What is the solution to the equation 7w + 5 = 3w - 15?

Back

w = -5.

Front

How do you check if a solution is correct?

Back

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

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.