Practice Polynomial Addition and Subtraction in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Adding or subtracting polynomials by combining like terms—terms with the same variable raised to the same power.
Think of like terms as the same type of object: and are both ' things,' so you can combine them into , just like 3 apples plus 5 apples equals 8 apples. You cannot combine and any more than you can add apples and oranges.
Showing a random 20 of 50 problems.
Example 1
challengeFind a polynomial that, when added to , gives the zero polynomial.
Example 2
easySubtract .
Example 3
easyTrue or false: and are like terms.
Example 4
easyAdd .
Example 5
easyAdd .
Example 6
mediumAdd .
Example 7
easyAdd .
Example 8
hardSimplify .
Example 9
mediumA triangle has sides , , and . Find its perimeter.
Example 10
mediumIf and , find .
Example 11
challengeFor what value of does have no term?
Example 12
challengeLet and . Compute and evaluate it at .
Example 13
hardFor what value of is equal to ?
Example 14
easySimplify .
Example 15
hardIf and , find .
Example 16
easySubtract .
Example 17
easyAdd .
Example 18
mediumSimplify .
Example 19
mediumSubtract .
Example 20
mediumAdd .