Equivalent Equations

Front

What is an equivalent equation?

Back

An equivalent equation is an equation that has the same solution as another equation. For example, if 2x + 6 = 10, then 2x = 4 is an equivalent equation.

Front

If 2x + 6 = -3, what is the value of 4x + 12?

Back

-6

Front

If 5x + 6 = 21, what is the value of 5x + 2?

Back

17

Front

If 4x = 6, what is the value of 2x?

Back

3

Front

If 3x - 2 = 5, what is the value of 9x - 6?

Back

15

Front

What is the process of solving an equation?

Back

The process of solving an equation involves isolating the variable on one side of the equation to find its value.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is alone on one side, making it easier to solve.

Front

What is the first step in solving the equation 2x + 6 = -3?

Back

Subtract 6 from both sides to isolate the term with the variable.

Front

How do you check if two equations are equivalent?

Back

You can check if two equations are equivalent by solving both equations and comparing their solutions.

Front

What is the solution to the equation 5x + 6 = 21?

Back

x = 3.