Alg1 Q4 Test 3 Review:
Part I: Parabolas
1) a)For all values -2 < x < 5 graph:
y = -x2 + 3x + 3
b) What are the roots ?
c) What is the vertex?
d) What is the axis of symmetry?
e) Is the turning point a min. or a max.?
2) a) for all values -1 < x < 4 graph:
y = 2x2 – 5x - 4
b) What are the roots?
c) Is the vertex a min. or a max.
d) What is the axis of symmetry?
e) What is the vertex?
3) a)For all values -2 < x < 2 graph:
4) a) for all values -7 < x < 2 graph:
(you will need to go down to -14 on the y axis)
y = -3x2 - 2x + 5
b) What are the roots ?
c) What is the vertex?
d) What is the axis of symmetry?
e) Is the turning point a min. or a max.?
y = x2 + 5x - 6
b) What are the roots?
c) Is the vertex a min. or a max.
d) What is the axis of symmetry?
e) What is the vertex?
Part II: Probability
1) Matt wanted to buy a new SUV. He narrowed his choices down 2 5 SUV’s (Pathfinder,
Grand Cherokee, XTerra, Explorer, or 4-Runner). He had three choices of color (Black,
Red, and Silver), and 2 choices of interior (leather or cloth material). Make a tree
diagram representing all the possible outcomes that Matt has. Use the tree diagram to
answer the following questions.
outcomes
a) p(4-Runner and leather)
b) p(4-runner or leather)
c) p(yellow)
d) p(Xterra and Red and cloth) e) p(Pathfinder and Silver) f) p(leather or cloth)
2) Boohbah went back to Cherry Valley to get some more good eats. He wanted to try a
new sandwich. He narrowed his choices down to 4 (the Bushman, Beast, Congo, and ZZoo). He also wanted to switch his side order and again he had 4 choices (chili fries,
onion rings, wings, and mozzarella sticks). He only had two choices of beverage (iced
tea or lemonade). Make a tree diagram representing all the possible scrumptious meals
that Boohbah has. Use the tree diagram to answer the following questions.
outcomes
a) p(wings and lemonade) =
b) p(Bushman, chili fries, and iced tea)=
c) p(iced tea and lemonade) =
d) p(iced tea or lemonade) =
e) p(Z-Zoo or mozz. sticks) =
f) p(Congo or onion rings)=
3) The probability that the Yankees will win is 5/8. What is the probability that they will
not win?
4) How many different ways can the letters in the word MOISTURE be arranged?
5) Aaron has 5 choices of sweatshirt, 6 choices of sweatpants, and 3 choices of sneakers to
choose from. How many different outfits can he make?
6) When rolling 2 dice, what is the probability of rolling a 14?
Part III: Histograms
1) There are 42 students in cor 117. The number of times each student was absent is listed
below.
a) Complete the frequency table and construct a frequency histogram.
b) Which interval contains the median?
0
5
3
3
3
6
5
6
5
8
7
1
3
6
10
Interval
7
6
4
8
4
1
Tally
0
5
7
3
7
2
14
2
8
1
5
4
4
3
0
2
5
7
6
8
8
Frequency
0-2
3-5
6-8
9-11
12-14
2) Mr. McCormack’s favorite class, A Period, took a test on word problems. There were 36
students that took the test. Their scores are listed below.
a) Complete the frequency table and construct a frequency histogram (on graph paper).
b) Which interval contains the median?
62
91
94
87
92
93
88
97
94
Interval
51-60
61-70
71-80
81-90
91-100
83
95
89
82
55
59
Tally
98
91
87
85
98
89
52
86
67
92
100
56
Frequency
82
93
87
97
96
86
68
81
100
Part IV: Right Triangles (Round sides to the tenth and angles to the nearest degree unless
otherwise stated.)
1) Simplest Radical Form
16
2)
3)
8
72
x
4)
x
x
6)
x
24
15
7)
14
13
21
5)
20
x
x
8)
9)
x
x
x
10
x
10)
5
15
11)
14
12)
6
26
11
17
Problems from Weekly Reviews:
ALL
You are responsible for
of the problems we have done for the weekly reviews. I
especially love systems. Just so you know…. I really love systems…. Graphically or
algebraically…. Doesn’t matter to me… As long as they are systems, I love them.