Solution or not

Front

What is a solution in algebra?

Back

A solution is a value that makes an equation true when substituted for the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone.

Front

What does it mean if an equation has no solution?

Back

It means there is no value that can be substituted for the variable to make the equation true.

Front

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

Back

The first step is to get all terms involving x on one side and constant terms on the other side.

Front

What is the solution to the equation 2(x - 3) = 10?

Back

x = 8.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that any value for the variable will satisfy the equation.

Front

How can you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides have the same value.

Front

What is the solution to the equation 6c - 5 = 7?

Back

c = 2, but this does not satisfy the equation when checked.

Front

What is the solution to the equation 5z + 7 = -3?

Back

z = -2, but this does not satisfy the equation when checked.