Download Units 1-5 Group Final Exa

Algebra I
Total Points: 80
I.
Complete any eight of the following fifteen problems. Show all of your
work and complete each problem as indicated in the instructions. Circle your
answers. Use pencil or your test will receive a ZERO!! Please write “VOID”
across any problem(s) you decide not to complete. If you need more space
write on the back page, but please clearly label any calculations so they may be
graded for partial credit.
If you disagree with the group’s response then you may hand in your paper
along with the group’s and those problem(s) will be graded independently.
Please write “DISAGREE” in the right margin next to your name on the
group’s paper, followed by the number(s) of the problem(s) with which you
disagree.
(10 points each)
1.
Solve the following problem by making a Guess and Check table, then solve the
probability part.
Trini has 46 marbles in three different colors. There are three times as many red
ones as blue ones. There are four more green one than there are red ones.
a) How many of each color are there? (4 points)
b) If Trini put all the marbles in a bag and drew one out, what is the probability it
would not be a red one? (6 points)
2.
Write each expression below in a simpler exponential form, if possible.
(2 points each)
a) x2 . x3
d) 23 . 25
b) (y2)3
e)
2x3y2
6y5zx2
c) 2x2(x3)2
3.
Complete the following table, then use it to neatly graph its equation. Be sure to label
all relevant parts of the graph.
(4 points for the table, 6 points for the graph)
y = -2x - 2
4.
Write an equation which describes the following problem. Be sure to show all of
your work and to state your answer as a sentence.
(5 points for the correct equation, 3 points for the correct solutions, 2 point for
the sentence)
The length of a rectangular field is six feet less than five times the width. The
perimeter is 132 feet. Find the width, length and area of the field.
5.
In each part below, the pairs of triangles are similar. Solve for x in each case.
(3 points each, 1 point for all correct)
6.
Nham orders chicken and fish for his family business. He found the following orders
in his records:
9-15-89
10-21-89
10-23-89
11-2-89
11-5-89
130# fish
100# chicken
200# fish
150# chicken
170# chicken
$290
$160
$445
$225
$250
a) About how much should he expect 170 pounds of fish to cost? (4 points)
b) Explain clearly why you think so. (6 points)
7.
Use each of the numbers 6, 8, 3, 4, 5 exactly once and any of the operations addition,
subtraction, multiplication and division to write as many expressions as you can that
equal 25. (2 points per expression)
8.
Graph the equation that describes the table below. Explain how you decided which
rule to choose. (6 points for the graph, 4 points for the explanation)
y = -3x - 1 y = x - 2
x
y
-4
11
-3
9
y = -2x + 3
-2
7
-1
5
0
3
1
1
y=x-7
2
-1
9.
Solve each of the following equations for x. Check your answer by plugging x back
into the equation and verifying that the left side equals the right.
1
(2 point each, 2 point each for checking your answer)
5
b)
-3(x + 2) = 18
a)
8x = 4
c)
2x - 5 = -7 - 5x
d)
3
5 x + 2 = 14
10.
Thirteen grams of a chemical compound is to be divided into three parts with the ratio
of 2:5:9. How much should each part be?
(6 points for the correct equation, 4 points for the correct solutions)
11.
Rewrite each of the following questions as an equation involving ratios, and then
solve your equation. (3 points each, 1 point for all correct)
a) What percent of 18 is b) What is 70% of
15?
112?
12.
c) 111 is 30% of what
number?
Use your calculator, if necessary, to write each of the following expressions in
decimal form. Round each answer to the nearest hundredth. (1 point each, 1 point
per pair, 1 point for all correct)
a) 9-2
b)
d) (189 189 )0
e) 102 ÷ 10-2
(2.5)6
c)
f)
2
1
22
-3(-2)2 + 13(-2) + 15
13.
Tetrahedral dice have only four sides. Suppose you have two tetrahedral dice. What
is the probability you will roll a sum of 6? Show how you organize your information
to solve this problem.
(6 points for your organization, 4 points for the correct solution)
14.
Write an equation and solve it for the following problem.
(6 points for the correct equation, 4 points for the correct solution)
Gloria is twice as old as her brother Jaime. Jaime is two years older than Susanna.
The sum of the ages of the three children is 26. Find the age of each child.
15.
Describe the relationship between the hours of sleep people need at different ages as
given in the graph below. Do not talk about each point individually, but make
statements that highlight the trends in the data. (10 points)
# of
hours
of
sleep
needed
A
B
E
C
D
age