Solving Equations

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 is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is the balance method in solving equations?

Back

The balance method involves performing the same operation on both sides of the equation to maintain equality.

Front

What is the first step in solving the equation 2x + 4 + 5x = 13 + 4x?

Back

Combine like terms on both sides of the equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you need to get the variable on one side of the equation and all other terms on the opposite side.

Front

What is the solution to the equation x = 2x - 4?

Back

The solution is x = 4.

Front

What does it mean to combine like terms?

Back

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

Front

What is the solution to the equation 4y - 7 = 2y + 7?

Back

The solution is y = 7.

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 two or more terms inside a parenthesis.