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 6x - 7 = 12?

Back

Add 7 to both sides to isolate the term with the variable: 6x = 19.

Front

How do you isolate the variable in the equation 6x = 19?

Back

Divide both sides by 6 to find x: x = 19/6.

Front

What is the solution to the equation 2x - (3 + 4x) = 11?

Back

The solution is x = -7.

Front

What is the process to simplify the equation 2x + 4 + 5x = 13 + 4x?

Back

Combine like terms: 7x + 4 = 13, then isolate x.

Front

What is the solution to the equation 2x + 4 + 5x = 13 + 4x?

Back

The solution is x = 3.

Front

How do you solve the equation -3(2c - 5) = 15?

Back

Distribute -3: -6c + 15 = 15, then isolate c.

Front

What is the solution to the equation -3(2c - 5) = 15?

Back

The solution is c = 0.

Front

What does it mean when an equation has no solution?

Back

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