Equivalent Equations

Front

What is an equivalent equation?

Back

An equivalent equation is an equation that has the same solution as another equation.

Front

If 4x = 12, what does 12x equal?

Back

36

Front

If 4x = 6, what does 2x equal?

Back

3

Front

If 3x + 8 = 11, what does 3x + 2 equal?

Back

5

Front

Are the equations 10x - 14 = 7x + 21 and 2(5x - 7) = 7(x + 3) equivalent?

Back

Yes

Front

Are the equations 8x + 16 = 12 and 4(2x + 4) = 12 equivalent?

Back

Yes

Front

What is the first step to solve the equation 4x = 12?

Back

Divide both sides by 4.

Front

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

Back

To isolate a variable means to get the variable alone on one side of the equation.

Front

If an equation is multiplied by the same non-zero number on both sides, what happens?

Back

The two sides remain equivalent.

Front

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

Back

x = 4