1. Sarah bought 7 notebooks and some pens. Each pen costs the same, and the total cost was $45. If the notebooks cost $3 each, write an equation to find the number of pens, \(x\), she bought. Solve for \(x\).
2. A rectangle’s length is 4 meters more than twice its width. If the perimeter is 64 meters, find the width using an equation.
3. Mike had some money. He spent $15 on lunch and had $20 left. If he started with \(x\) dollars, write and solve an equation to find how much money he had originally.
4. The sum of three consecutive integers is 72. Let the smallest integer be \(x\). Write an equation and solve for \(x\).
5. A company sold \(x\) units of a product. Each unit sold for $12. If the total revenue was $2400, write and solve an equation to find \(x\).
6. Jenny’s age is 5 years less than three times her brother’s age. If the sum of their ages is 41, find Jenny’s brother’s age.
7. A tank holds \(x\) liters of water. After removing 35 liters, 4 times the remaining amount equals 180 liters. Find the original amount of water in the tank.
8. The difference between a number and 9 is equal to twice the number plus 3. Find the number.
9. A cyclist travels \(x\) miles in the morning and 12 miles in the afternoon. If the total distance is 40 miles, find the distance traveled in the morning.
10. The total number of pages in two books is 320. One book has 20 pages more than twice the other. Find the number of pages in each book.
11. A store sells pencils and erasers. The number of erasers is 3 less than twice the number of pencils. If there are 31 items in total, find the number of pencils.
12. The sum of a number and its negative three times is 48. Find the number.
13. Tom’s weekly allowance is \(x\) dollars. He saves $15 and spends the rest. If he spends twice what he saves, find his allowance.
14. The length of a garden is 3 meters less than four times its width. If the area is 77 square meters, find the width.
15. A movie theater sold \(x\) adult tickets and 25 child tickets. The total number of tickets sold was 100. Find how many adult tickets were sold.
16. The sum of twice a number and 7 is equal to 5 times the number minus 8. Find the number.
17. A car rental company charges a flat fee plus $10 per hour. If someone pays $70 for a rental, and the flat fee is $30, find how many hours the car was rented.
18. The difference between five times a number and 8 is equal to twice the number plus 14. Find the number.
19. A box contains \(x\) red balls and 15 blue balls. If twice the number of red balls minus 5 equals the number of blue balls, find \(x\).
20. A student scored \(x\) points on a test. The teacher added 12 points to the score, and the new score is four times the original score minus 8. Find the original score.
1. A bookstore sold a total of 120 books in one day. The number of fiction books sold was 3 times the number of nonfiction books. How many fiction books were sold?
2. The perimeter of a rectangular garden is 64 meters. The length is 5 meters more than twice the width. Find the width of the garden.
3. A movie theater has 350 seats. The number of adult tickets sold was 4 times the number of child tickets sold. How many child tickets were sold?
4. A cyclist traveled a total of 45 miles. He rode 7 miles more than twice the distance in the morning than in the afternoon. How far did he cycle in the afternoon?
5. The sum of three consecutive integers is 72. Find the smallest integer.
6. A car rental company charges a flat fee plus a fixed amount per mile driven. If the total cost for 50 miles is $90 and the cost for 80 miles is $120, find the flat fee.
7. A school is planning a field trip. The total cost is $1,200. If each student pays $15 and the school pays $300, how many students are going on the trip?
8. A factory produces x gadgets per day. The profit in dollars is given by $5x 200$. If the profit is $800, how many gadgets were produced?
9. A rectangle’s length is three times its width. If the area is 75 square units, find the length.
10. A painter charges a fixed fee plus $20 per hour. If a 5hour job costs $180, how much is the fixed fee?
11. The sum of twice a number and 7 is equal to 29. Find the number.
12. A number decreased by 9 equals twice the number plus 3. Find the number.
13. The difference between 4 times a number and 11 is 25. Find the number.
14. A train travels at a constant speed. If it travels 120 miles in t hours, and 200 miles in t 2 hours, find t.
15. A rectangle has a perimeter of 54 cm. Its length is 4 cm less than twice its width. Find the dimensions of the rectangle.
16. John has twice as many marbles as Mike. Together, they have 90 marbles. How many marbles does John have?
17. The product of a number and 6 decreased by 15 is 33. Find the number.
18. A tank contains 150 liters of water. After x liters are drained, 3 times the remaining water is 390 liters. How many liters were drained?
19. The sum of four times a number and 5 equals three times the number plus 14. Find the number.
20. A phone plan costs a fixed fee plus $0.10 per minute. If a 100minute call costs $18, find the fixed fee.