4thQuarterExamReview
You may use a calculator.
1. Solve 4 2 12 8 14.
3
11. Is the number √22 rational or irrational? Why?
Irrational, No repeats in decimal
2. Solve 5 2 30.
4
12. Approximate √40 to one decimal place?
) 6.3
3. Solve 3 4 4 12 .
4. Solve 2 4 4 3.
5. Solve 81
9
6. Solve 8
2
7. Solve the following system of equations.
! 2 4
! 3 8
4,4
8. Solve the following system of equations.
4
! 2 6
4, 2
9. Solve the following system of equations.
2 ! 4
6 3! 12
10. Sam sold snakes and snails at the Slithery and
Slimy Pet Store. Snakes cost $5 each and snails cost
$2 each. One afternoon Sam sold 10 pets and made
$29. How many snakes and how many snails did he
sell?
3%&7
13. List these numbers in order from least to
greatest.
13
, 6, √56, +
3
13
+, , 6, √56
3
14. What is the length of the missing side?
15
12
9
15. What is the length of the missing side?
35,
37,
12,
16. What is the distance between 3,7 and
3, 1?
10
17. A fire truck pulls up to a burning building with a
person trapped at the 2nd floor window which is
15 off the ground. If the truck is parked 8
away from the building, and it takes 2-& to
extend the ladder one foot, how long will it take the
firefighters to extend the ladder to the window?
34-&
18. A cylindrical fire hose that is 100 long and has
a radius of 0.5. What is its volume both in terms
of + and using + ) 3.14?
. 25+ ) 78.5
21. What is the volume of a caulking gun with a
radius of 1 inch, cone height of 5 inches, and
cylinder height of 10 inches?
19. A spherical water balloon with a diameter of
20,,. What is the volume?
4000
.
+,, ) 4186.67,,
3
5
10
.
35
+ ) 36.63
3
20. What is the volume of a cone with height of
10-, and radius of 3-,?
. 30+-, ) 94.2-,
Use the following scatter plot to answer the next two questions. It shows the hours of video games students
have played versus the number of achievements they have unlocked.
Number of Achievements Unlocked
XBox 360 Achievements
22. What type of associations does this graph show?
100
90
80
70
60
50
40
30
20
10
0
Positive and linear
23. Which would be the best prediction for number of
achievements unlocked for a student who has played 12
hours of video games each week using the line of best fit
equation ! = + 12 or the graph?
0
10
20
30
40
50
30-ℎ/,-%&
Hours of Video Games Played
24. Give two variables that have a negative association
Answer will vary. Sample answer: The amount of time spent exercising and your excess body weight.
Use the following two-way table to answer the last question.
Students
Teachers
Support School
Uniforms
237
91
Do Not Support
School Uniforms
1928
15
25. What is the relative frequency of students surveyed who do not support school uniforms?
≈ 89.05%