Simple Word Problems One Variable

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. In how many years would Mary's salary be the same at both companies. What would that salary be?

• 8 years; $46500

• 7 years; $45600

• 8 years; $45600 

• 7 years; $46500 

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class. If Carol were to take 5 classes which studio should Carol join? How much would she save joining the cheaper dance studio?

• Studio A; $40.00

• Studio A; $50.00

• Studio B; $50.00

• Studio B; $40.00 

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Which company is more expensive if I need 6 additional windows installed? How much more expensive would it be?

• Company A; $1.00

• Company A; $1.25 

• Company B; $1.00 

• Company B; $1.25 

At a store a carton of eggs costs $2.25 and a package of bacon costs $4.25. At another store eggs cost $2.75 and bacon costs $4.00. If you were to buy one carton of eggs, how many packages of bacon would you have to buy for both stores to cost the same?

• 2

• 4

• 1

• 6

John and Jane went to a bakery to get cookies for a party. Jane bought x cookies that were $3 each. John bought x cookies that were on sale for $1 plus he got a small cake for $10.00. If John and Jane both spent the same amount of money, which equation shows how many cookies, x, they purchased.

• 3x = x + 10

• x = 3x + 10

• 3x + x = 10

• 3x + x + 10 = 0

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours

• 3 hours

• 4 hours

• 5 hours

Which situation best represents the following equation? 8.50x > 1000 + 2.50x

• Jose owns the local Comic Store. He sells comics for $8.50 each. His cost each month is $1,000 plus $2.50 per comic. How many comics, x, must he sell each month to make a profit?

• Jose owns the local Comic Store. He sells comics for $2.50 each. His cost each month is $1,000 plus $8.50 per comic. How many comics, x, must he sell each month to make a profit?

• Jose owns the local Comic Store. He sells comics for $2.50 each. His cost each month is $1,000 plus $2.50 per comic. How many comics, x, must he sell each month to make a profit?

• Jose owns the local Comic Store. He sells comics for $8.50 each. His cost each month is $1,000. How many comics, x, must he sell each month to make a profit?

Which inequality can be represented by the inequality 20x + 50 < 25x

• Greg has $50 in his savings account. He deposits $20 in the account each week. His sister, Lauren opened an account today and will deposit $25 in the account each week. How many weeks will it take for Greg to have more money saved than Lauren?

• Greg has $50 in his savings account. He deposits $20 in the account each week. His sister, Lauren opened an account today and will put $25 in the account each week. How many weeks will it take for Lauren to have more money saved than Greg?

• Greg saves $20 each week to put in his savings account at the bank. His sister, Lauren has saved $50 and will save $25 each week. How many weeks will it take for Greg to have more money than Lauren?

• Greg has saved $50 and plans to put $25 each week in his savings account at the bank. His sister, Lauren has also saved $50 but will put $20 in her bank account each week.

Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B

• 50

• 20

• 15

• 25