Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 represented by letters like x or y, that stands for an unknown value.

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

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 first step in solving the equation 12 - 4x - x = 2?

Back

Combine like terms to simplify the equation: 12 - 5x = 2.

Front

What is the solution to the equation 6x - 7 = 12?

Back

The solution is x = 19/6.

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 does it mean to have no solution in an equation?

Back

No solution means that there is no value for the variable that can satisfy the equation.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.