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 the first step in solving the equation 4y - 7 = 2y + 7?

Back

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

Front

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

Back

The solution is y = 7.

Front

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

Back

You multiply -3 by each term inside the parentheses: -3 * 2c and -3 * -5.

Front

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

Back

The solution is c = 0.

Front

What is the process to combine like terms in the equation 12 - 4x - x = 2?

Back

Combine -4x and -x to get -5x, then solve for x.

Front

What is the solution to the equation 12 - 4x - x = 2?

Back

The solution is x = -2.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

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

Back

The solution is x = 4.