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 (often letters) that represent unknown values in mathematical expressions or equations.

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 14p - 8 = 22 + 20p?

Back

The first step is to move all terms involving the variable p to one side of the equation.

Front

Solve the equation: 14p - 8 = 22 + 20p. What is p?

Back

p = -5.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you apply the distributive property in the equation 3(x - 4) = -3?

Back

You distribute 3 to both x and -4, resulting in 3x - 12 = -3.

Front

Solve the equation: 3(x - 4) = -3. What is x?

Back

x = 3.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.