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 2x = x + 3?

Back

The first step is to isolate the variable on one side of the equation, which can be done by subtracting x from both sides.

Front

What is the solution to the equation 2x = x + 3?

Back

The solution is x = 3.

Front

How do you solve the equation 7x = 3x + 24?

Back

Subtract 3x from both sides to get 4x = 24, then divide by 4 to find x = 6.

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

The solution is x = -7.

Front

How do you isolate y in the equation 2y + 7 = 11?

Back

Subtract 7 from both sides to get 2y = 4, then divide by 2 to find y = 2.

Front

What is the solution to the equation 2y + 7 = 11?

Back

The solution is y = 2.

Front

How do you solve the equation 8x - 8 = -4x + 16?

Back

Add 4x to both sides to get 12x - 8 = 16, then add 8 to both sides and divide by 12 to find x = 2.

Front

What is the solution to the equation 8x - 8 = -4x + 16?

Back

The solution is x = 2.