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 the first step in solving the equation 2 + 14a = -8 + 9a?

Back

The first step is to isolate the variable 'a' by moving all terms involving 'a' to one side and constant terms to the other side.

Front

Solve for a: 2 + 14a = -8 + 9a

Back

a = -2

Front

What is the solution to the equation 4x + 5x = 27?

Back

x = 3

Front

How do you solve the equation 6k = 30?

Back

Divide both sides by 6 to isolate k: k = 30 / 6 = 5.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are countless values for the variable that satisfy the equation, often due to the equation being an identity.

Front

Solve for b: 3(b - 4) = -3

Back

b = 3

Front

What is the process of combining like terms in an equation?

Back

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

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.