Algebra Word Problems-Review

Algebra Word problems-Review Name______Period______Date______

1. Five less than a number equals 24. Find the number.

2. If three times a number is increased by 35, the result is equal to eight times the number. Find the number.

3. One number is three more than another. The smaller number decreased by four times the larger number is the same as 12 less than six times the larger number. Find the larger number.

4. The larger of two numbers is four less than twice the smaller. If the smaller number is equal to two-thirds of the larger number, find the numbers.

5. Find three consecutive odd integers such that the sum of the first and third is 70.

6. Find three consecutive integers such that the third is 13 less than the sum of the first and second.

7. The length of a rectangle is 4 inches more than its width. If the perimeter is 40 inches, find the length and width of the rectangle.

8. The length of the second side of a triangle is 8 inches less than the length of the first side. The length of the third side is 14 inches more than the length of the first side. The perimeter of the triangle is 63 inches. Find the length of each side of the triangle. 9. A bank teller took a deposit of $20.45 in dimes and quarters. If there were 131 coins in all, how many of each type of coin were deposited?

10. The number of nickels Frank has is 4 less than twice the number of quarters. If he has $5.40 in all, how many of each type of coin does he have?

11. A train travels between two cities at an average rate of 42 mph. An express train traveling at the average rate of 70 mph makes the trip between these cities in two hours less time. What is the distance between the two cities?

12. Tom’s father drove from home to his summer camp in 4 hours. Returning on the same path, he took one hour longer because heavy traffic forced him to drive an average of 8 mph slower. What is the average rate going to camp?

13. Solve for y: 7x-5y=12

1 1 (25 10b)  4  (9b 15)  6 14. Solve for b: 5 3

15. Find the solution set for d using the domain {-1, 0, 1, 2, 3,4} for  6(2  d)  4(4d  9)

16. What is the multiplicative inverse of -624?

17. Is division closed under the set of integers? Explain.

18. Graph the solution of (x<15) (x>9) and write this solution as an inequality.