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Unit 3 Practice Test Perform each operation below as indicated. Be sure to reduce your answer.
1. !!· !!=
2. !!− !
!=
3. 2 !!÷ !
!=
4. 3 !!+ 1 !
!=
5. 5 !!· !!=
6. 3 !!− 1 !
!=
7. !!÷ !
!=
8. !!+ !
!=
Solve each proportion. Be sure to reduce your answer.
9. !!= !
!
10. !!!= !
!
11. !!!!"
= !!
12. !!= !
!
13. !!= !!
!
14. !!!= !
!
15. !!!!= !
!
16. !!= !
!
Identify each as direct or inverse variation and give the constant of variation in each case.
1. 𝑦 = 3𝑥 18. 𝑦 = !
!
19. !!= 6
20. 𝑦𝑥 = 10 21. 𝑦 = !
!
22. 𝑦 = !!𝑥
23. 𝑥𝑦 = !!
24. !!= !
!
Write an equation for each relationship.
25. x and y are directly proportional. x=3 when y=6.
26. x and y are inversely proportional. x=2 when y=5.
27. x and y are directly proportional. x=12 when y=4.
28. x and y are inversely proportional. x=5 when y=15.
29. x and y are directly proportional. x=7 when y=2.
30. x and y are inversely proportional. x=8 when y=2.
31. x and y are directly proportional. x=5 when y=10.
32. x and y are inversely proportional. x=4 when y=2.
Solve each problem and express your answer in a complete sentence.
33. It costs $80 for 8 friends to go to a concert. How much would it cost for 12 friends to attend the same concert?
34. Four people are splitting the cost of renting a limo for prom. With for or them they each have to pay $30. How much would is cost per person if six people were included?
35. It takes 4 eggs to make 6-‐dozen chocolate chip cookies. How many eggs would it take to make 9 dozen of the same cookies?
36. My 2 cats take 3 weeks to empty a bag of cat food. How long would it take to empty the same bag if I had 3 cats?
Rewrite each sentence as an expression or equation. Do not solve.
37. Add four to a number then divide the result in half.
38. Seven less than a number is 10.
39. Six more than twice a number
40. Three times a number is four more than 12
41. Four times a seven more than a number
42. Five less than six times a number
43. Nine times a number is sixteen more than twenty.
44. Twelve is three more than one third of a number
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