1
2
3
4
5
100
-3/5(10 - 5x) = 21
x = 9
100
-3 - 3(1 + 3n) = -42
n = 4
100
You are making care packages to send out this Christmas season. Each care package gets 4 gifts put into it. After packing all 40 care packages, you have enough gifts leftover to add more presents to each package. If you had a total of 240 gifts to place into the care packages, how many more gifts did you add to each care package? WRITE and solve an equation.
40(4+x) = 240
x = 2
100
-2 + 3x = -17
x = -5
100
-3 - 3(1+3n) = -42
n = 4
200
Bob has $340,000 for retirement. If he spends $50,000 per year and wants to go on a $20,000 world cruise vacation, how many years will his retirement money last? Write and solve an equation.
20000 + 50000x = 340,000
x = 6.4 years
200
Mark has a collection of baseball cards. He goes to a local auction and buys enough cards to double his collection. However, he decides to sell 24 cards to make some money because he spent too much. He then goes back to another auction and sells another third of his collection to make some more money. If he still has 58 cards after the auction, how many cards did he originally have in his collection? Write and solve an equation.
1/3(2x - 24) = 58
x = 99
200
Martha wanted to donate to some local charities this Christmas. At each charity she dropped off a gift and a donation of $60. After going to 6 charities, she had donated a total of $540. How much was the gift she gave to each charity? WRITE and solve an equation.
6(x + 60) = 540
x = 30
200
2x + 7 = 13
x = 3
200
x/-4 - 5 = -8
x = 12
300
18 - 11x = 194
x = -16
300
2/3(9 - 6x) = 11
x = -5/4
300
You are hosting a large Christmas party. You set up 18 tables. At each table you place 5 chairs. 144 people show up to your party so to make sure everyone has a seat you squeeze more chairs at each table. Every table has the same amount of chairs. How many chairs did you add to each table? WRITE an equation and solve.
144 = 18(5 + x)
x = 3
300
m = 10
300
-8(w - 6) = 32
w = 2
400
Jack owns a clothing company. He has 4 stores and each store has the same amount of employees. Unfortunately, because the company is losing money, Jack must let go 3 employees from each store. He now has a total of 48 employees. At his end of the year tax meeting, he must report the number of employees that were at each store before he let people go. Write an Equation and solve it to find the number of employees that worked at each store before he let anyone go.
4(x - 3) = 48
x = 15
400
22 - 5(6v - 1) = -63
v = 3
400
John owns a lawncare business. He charges a $15 travel fee and then $12 an hour while he works. If you paid John $63 to do all of your lawncare, how many hours did it take John to complete the job? WRITE and solve an equation.
15 + 12x = 63
400
42 - 5t = 7
t = 7
400
2 + 3(2x + 4) = 8
x = -1
500
-7(-2 - 6x) = 30
x = 16/42 OR 8/21
500
You are hosting a team design challenge at work. You split each of your employees into 12 teams. Every team has the same amount of people. You give them $25 per team member plus a starting bonus of $125 to complete the challenge. If you spend $3600 on the design challenge, how many people were on each team?
12(25x + 125) = 3600
x = 7
500
You have $2300 to spend on your vacation. Your family books a hotel for $150 a night. You also want to go to the amusement park which will cost the family $700. You also decide you will spend $80 each for 5 tickets to the aquarium. How many nights can you stay during your vacation if you are going to stay within your budget? Write and solve an equation.
150x + 700 + 400 = 2300
150x + 1100 = 2300
x = 8 nights
500
n = 39
500
-15 = 5a +12- 2a + 6
a = -11