1. Algebra Foundations 1
Fall Semester Review

2. Translate and solve Nine more than a number is eleven.
Quotient of a number and ten is eight.
Three more than nine times a number is equal to 4 times the number.
The product of four and a number is sixteen.

3. Two consecutive integers have a sum of 91. What are the two integers?

4. The sum of two consecutive integers is 27. What are the two integers?

5. The sum of two consecutive integers is 9. What are the two integers?

6. Two consecutive even integers have a sum of 26
Two consecutive even integers have a sum of 26. What are the two integers?

7. What two consecutive even integers have a sum of 90?

8. Two consecutive odd integers have a sum of 48
Two consecutive odd integers have a sum of 48. What are the two integers?

9. What two consecutive odd integers have a sum of 88?

10. What four consecutive integers have a sum of 66?

11. Jessica is twice George’s age and Alicia is two years younger than George. The total of their ages is 46. How old is each person?

12. The length of a rectangle is three times as long as its width
The length of a rectangle is three times as long as its width. The perimeter is 168. Find the length and width.

13. The length of a rectangle is 3 in longer than its width
The length of a rectangle is 3 in longer than its width. The perimeter is 46. Find the length and width.

14. The perimeter of a triangle is 53 in
The perimeter of a triangle is 53 in. The first side is 5 in longer than the second side. The third side is twice the second side. Find all three sides.

15. The perimeter of a triangle is 78 inches
The perimeter of a triangle is 78 inches. The first side is four inches longer than the second side. The third side is 10 in shorter than the second side. What is the length of the shortest side?