Quarter4ReviewKey
You may use a calculator.
1. Name the following polynomials by both degree and the number of terms:
a. 2 4 Cubic polynomial
b. 5 2 Linear binomial
c. 5 5th degree monomial
2. Perform the following polynomial operations:
a. 2 3 1 3 4 3 3
b. 5 7 5 3 6 3 5 10 6 2
c. 2 33 2 6 5 6
d. 2 4 5 7 6 20
3. Graph the following functions:
b. 4 3
a. 6 5
4. Find the zeros of the following quadratics:
a. 5 14
7, 2
b. 2 8 8
2
d. 3 9
0, 3
c. 16
4
5. Find the vertex of the following quadratics:
a. 4 3
2, 7
b. 6 7
c. 3 12 9
3, 2
2, 3
6. Knowing the parent function is , describe the following transformations
Translates right 3 units and down 8 units
a. 3 8
b. 2 4
c. 4
Parabola gets skinner/narrows and translates up 4 units
Reflects across x-axis (opens down) and translates left 4 units
7. Solve the following quadratic equations:
a. 6 3 4
7, 1
b. 3 2 14 6
c. 3 5 14
d. 3 2 8 0
, 2
6, 0
no solution
√
e. 5 25 10
f.2 12 20 2
3
≈ 5.37, 0.37
8. A man stood at the top of the St. Louis arch 630 feet in the air and threw a penny toward the ground at a
speed of 94 feet per second.
a. Write an equation of height in terms of time. ℎ 16 94 630
b. When did the penny hit the ground?
√ !
≈ 3.99 seconds
9. A man stood at the top of the St. Louis arch 192 meters in the air and threw a penny up into the air at a speed
of 20 meters per second.
a. Write an equation of height in terms of time. ℎ 4.9 20 192
b. When did the penny hit the ground?
"√ !.
.#
10. Solve the following systems of equations:
% 5 6
5, 6; 2, 8
a. $
% 2 4
b. $
% 2 4 10
% 6 1
% 4 2
c. $
% 2 2
no solution
0, 2
≈ 8.62 seconds
11. Solve the following inequalities:
a. 6 5 ' 0
b. 3 28 ( 0
c. 2 8 8 ) 0
12. Graph the following inequalities:
a. * 2 8
13. Find the length of the missing leg of the right triangle:
a. 16,-, . 63,-, 65,b. 18-, 82-, . 80c. . 7, 25, 24
14. Find the distance between the given points:
a. 4, 0 and 8, 5 13 units
b. 7, 2 and 8, 10 17 units
b. ' 5 6
.
15. Maria lives 9 km north and 12 km east of a park. How far will she have to bike if she bikes directly to the park
and back? 30.-
16. A national park is 3 miles wide and 4 miles long. The park director is planning to add a trail through the
diagonal of the park. If the gravel for the trail costs $1000 per mile, how much should the director budget for the
trail? $5000
17. Graph each of the following:
4 1; ( 2
c. $
2 5; ) 2
b. 1 32 1
a. 2| 4|
18. Solve the following:
a. 3| 2| 6 0
b. |
1| 5 10
c. 32 44 12
d. 31 12 15
XBox 360 Achievements
Number of Achievements Unlocked
no solution
4, 6
4 ( * 4.5
5*(6
2 8; * 4
e. 0 when $ 8
3 40; ' 4
3; ( 3
f. 2 when 5 2, 5
4 7; ' 4
19. 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.
a. What type of associations (positive, negative, none, linear,
non-linear) does this graph show? Positive and linear
b. Are there any outliers? No
c. Which would be the best prediction for number of
achievements unlocked for a student who has played 12 hours
video games each week using the line of best fit equation
% 12 or the graph? 30 achivements unlocked
100
90
80
70
60
50
40
30
20
10
0
0
10
20
30
40
Weekly Hours of Video Games Played
20. Give an example of two variables that have a negative association. Answers will vary. Sample answer: The
amount of time spent exercising and your excess body weight.
21. Give an example of two variables that have a positive association. Answers will vary. Sample answer: The
amount of calories consumed and your body weight.
22. Answer the following questions using the given two-way table:
Students
Teachers
Support School
Uniforms
237
91
Do Not Support School
Uniforms
1928
15
a. How many students were surveyed? 2165
b. How many people support school uniforms? 328
c. What is the relative frequency of students surveyed who do not support school uniforms? ≈ 89.05%
50