Practice Inverse Operations in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Operations that undo each other: addition undoes subtraction, multiplication undoes division, and vice versa. Applying an operation followed by its inverse returns you to the starting value.
Adding 5 then subtracting 5 brings you back to where you started.
Showing a random 20 of 50 problems.
Example 1
mediumSolve for : .
Example 2
challengeSolve for : .
Example 3
mediumI think of a number, multiply by , then subtract , and get . What was my number?
Example 4
hardA function machine doubles its input, then adds . If the output is , find the input and explain the inverse machine.
Example 5
hardSolve for : .
Example 6
mediumWhat is the inverse of subtracting then dividing by ? Give the steps in order.
Example 7
mediumSolve for : .
Example 8
easyWhat is the inverse operation of dividing by 6?
Example 9
easyFill in the blank: The inverse operation of cubing a number is taking the ___ root.
Example 10
mediumIf , what input gives output 4?
Example 11
mediumA number divided by 4 equals 8. What is the number? Use inverse operations.
Example 12
mediumMaria has some marbles. She gives away , then her friend gives her more. She now has . How many did she start with?
Example 13
easyStart with 20. Subtract 7, then add 7. What is the result? What property does this show?
Example 14
mediumTo find the side length of a square with area sq cm, what inverse operation undoes squaring?
Example 15
easyStart with 12, add 7, then subtract 7. What is the result?
Example 16
hardSolve for : .
Example 17
mediumA number is multiplied by 3 and then 7 is added, giving 28. Find the number.
Example 18
mediumSolve for : .
Example 19
mediumYou start with a mystery number. You multiply it by 6 and get 54. Use the inverse operation to find the mystery number.
Example 20
challengeA machine doubles a number then subtracts 3; running its inverse on 11 gives what?