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 + 3 = 7, then 2x = 4 is an equivalent equation.

Front

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

Back

x = 2.

Front

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

Back

x = 1.5.

Front

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

Back

x = -4.5.

Front

What is the process of solving an equation called?

Back

The process of solving an equation is called 'solving for the variable'.

Front

If 9x - 6 = 15, what is the value of x?

Back

x = 2.33.

Front

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

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

If 2x = 10, what is the value of 2x - 2?

Back

2x - 2 = 8.

Front

What is the first step in solving the equation 3x - 2 = 5?

Back

Add 2 to both sides of the equation.

Front

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

Back

2x = 3.