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Inverse Operations
What does x equal?
Find the missing value
100
One fifth of a number subtracted by five is nineteen.

1/5 x - 5 = 17

100

2k + 5 = 17

k = 6

100

3a - 5 = 4

 a = 3 

100

m/5 + 4 = 12

m = 40

100

21q - 39 = 234

q = 13

200

Twelve more than seven times a number equals thirty three.

7x + 12 = 33

200

19b + 314 = 1663

b = 71

200

4j - 71 = 29

j = 25

200

w/317 + 596 = 1,639

w = 330,631

200

g/11 + 37 = 128

g = 1001

300

On a trip a family drives 200 miles the first day, and 350 miles per day each remaining day. How many days, x, will they travel to reach the distance of 1,600.

200 + 350x = 1,600

300

12s + 27 = 171

s = 12

300

2x + 7/2 = 7

x = 7/4 or 1 3/4 

300

1.25x + 8 = 4.5

x = -2.8

300

1/3 x + 7 = 10

x = 9

400

Sarah needs $110 to buy a concert ticket. She already has $16 and she will earn the rest by working 10 hours at her job. Use x, to determine her houly earnings.

16+ 10x = 110

400

59 - 4n = 91

n = -8

400

2.5x + 12 = -3

x = -6

400

11x - 16 = 149

x = 15

400

1.9 − 2.2c = 3.88

c = -0.9

500

Nick bought a salad for 11.98 and three large pizzas. If his total was $38.95. Use x, to represent the cost of each pizza. 

11.98 + 3x = 38.95

500

Amy receives 30 rewards points for signing up and 8.5 points for each visit to the movie theater. If she needs 115 points for a free movie ticket, write an equation to represent how many visits it will take.


30 + 8.5x = 115

10 visits

500

Members of a softball team raised $1943.50 to go to a tournament. They rented a bus for $1148.50 and budgeted $53 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.

1148.50 + 53x = 1943.50

15 players

500

Lauren needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $119 for parts. The total was $400.25. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

119 + 3.75x = 400.25

$75 per hour

500

Carter wants to ride his bicycle 28.7 miles this week. He has already ridden 17 miles. If he rides for 3 more days, write and solve an equation which can be used to determine m, the average number of miles he would have to ride each day to meet his goal.


17 + 3x = 28.7

3.9 miles per day