Types of Solutions

Front

What is a solution in algebra?

Back

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

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 does it mean if an equation has infinite solutions?

Back

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

Front

How do you isolate a variable in an equation?

Back

You perform operations to get the variable on one side of the equation and the constants on the other.

Front

What is the first step in solving the equation -1 + 2x = 6x + 11?

Back

Combine like terms and move all terms involving x to one side.

Front

What is the solution to the equation 1 + 8x + 9 = -20 + 2x?

Back

The solution is x = -5.

Front

What is the solution to the equation 5 - 6x = 17 - 8x?

Back

The solution is x = 6.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the value satisfies the original equation.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.