Essa lista de exercícios foi realizada com a finalidade de revisar conteúdos iniciais e fundamentais para apropriação da Língua Inglesa.
Para se afastar do modelo tradicional, essa lista possui caça-palavra e atividades lúdicas e visuais.
Essa lista de exercícios foi realizada com a finalidade de revisar conteúdos iniciais e fundamentais para apropriação da Língua Inglesa.
Para se afastar do modelo tradicional, essa lista possui caça-palavra e atividades lúdicas e visuais.
Pre-Algebra Final ExamScore ______ ______ Name _________.docxChantellPantoja184
Pre-Algebra Final Exam
Score: ______ / ______
Name: ______________________________
Student Number: ______________________
1. Elsie is making a quilt using quilt blocks like the one in the diagram.
a. How many lines of symmetry are there? Type your answer below.
b. Does the quilt square have rotational symmetry? If so, what is the angle of rotation? Type your answers below.
2. Solve by simulating the problem.
You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? Type your answer below using complete sentences.
3. Use the diagram below to answer the following questions. Type your answers below each question.
a. Name three points.
b. Name four different segments.
c. Write two other names for .
d. Name three different rays.
4. Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground. Draw a sketch of this situation (you do not need to submit the sketch).
Find the ground distance from Charlie to the plane. Type your answer below. Explain your work.
_____ 5. Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd? Type your answer in the blank to the left.
A.
B.
C.
D.
6. Identify the number as rational or irrational. Explain. Type your answers below.
-
7. Jeremy is building a large deck for a community center. The deck is shaped as a rectangle. The width of the deck is 29 feet. The perimeter of the deck is to be at least 134 feet.
a. Write an inequality that represents all possible values for the length of the deck.
b. Find all possible values for the length of the deck.
8. Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237.
a. Write an equation that can be used to find the number of swimming lessons that she paid for.
b. How many swimming lessons did she pay for?
c. At the time she had $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237?
9. Is a triangle with sides of length 6 ft., 21 ft., 23 ft. a right triangle? Explain.
10. Identify the number as rational or irrational. Explain.
291.87
11. Is the sequence 5, 9, 15, ... an arithmetic sequence? Explain. Type your answer below.
12. Suppose a computer virus begins by infecting 8 computers in the first hour after it is released. Each hour after that, each newly infected computer causes 8 more computers to become infected. The function y = 8x models this situation. Make a table with integer values of.
Last Name _______________________________________ First Nam.docxsmile790243
Last Name: _______________________________________ First Name: _________________________________
1
1. Heart rate during laughter. Laughter is often called “the best medicine,” since studies have
shown that laughter can reduce muscle tension and increase oxygenation of the blood. In the
International Journal of Obesity (January 2007), researchers at Vanderbilt University investigated
the physiological changes that accompany laughter. Ninety subjects (18 – 34 years old) watched
film clips designed to evoke laughter. During the laughing period, the researchers measured the
heart rate (beats per minute) of each subject with the following summary results: �̅� = 73.5, s = 6.
(NOTE: �̅� and s denote the mean and standard deviation, respectively). It is well known that the
mean resting heart rate of adults is 71 beats/minute. At ∝ = 0.05, is there sufficient evidence to
indicate that the true mean heart rate during laughter exceeds 71 beats/minute?
a. State the null hypothesis (H0): _____________________________
b. State the alternative hypothesis (HA): _____________________________
c. Calculate the test statistics (z): __________________________________
d. Write decision rule: ___________________________________________
e. State the decision (Reject or do not reject H0): _____________________
Last Name: _______________________________________ First Name: _________________________________
2
2. Perform least squares estimation using the data from the table below, and write your answers as
requested (attach your calculations on separate pages):
X y
0 1
3 7
5 12
Write your answers in the blank provided and show your manual calculations on separate pages (if
necessary).
a. Regression equation: �̂� = _________________________________
Complete the following analysis of variance (ANOVA) table (show calculations on a separate
page):
Source Degrees of
Freedom (d.f.)
Sum of Squares
(SS)
Mean Square
(MS)
F
Model
Error
Total
b. Root MSE: ________
c. R-Square: ________
i. Interpretation: __________________________________________
__________________________________________
d. R: ________
i. Interpretation: __________________________________________
__________________________________________
e. Estimate the value for y when x = 3.75: ___________________________
Last Name: _______________________________________ First Name: _________________________________
3
3. Earnings of Mexican street vendors: Detailed interviews were conducted with over 1,000 street
vendors in the city of Puebla, Mexico, in order to study the factors influencing vendors’ incomes
(World Development, February 1998). Vendors were defined as individuals working in the street,
and included vendors with cars and stands on wheels and excluded beggars, drug dealers, and
prostitutes. The research collected data on gender, age, hours worked per day, annual earnings,
and education level. A subset of these appear in ...
1. Name _______________________________
Mrs. Labuski / Mrs. Portsmore Period ______
1.
Date ____________________
Mid- Module 3 Review
True or False?
______a.
Negative numbers are less than positive numbers.
______b.
0 is less than all negative numbers.
______c.
Zero is not positive or negative.
______d.
A negative number can be a rational number.
______e.
The absolute value of a negative number will always be a positive number.
______f.
The absolute value of any number will always be a positive number.
______g.
______i.
Positive numbers will always have a higher absolute value than negative
numbers.
The order of positive numbers is the same as the order of their absolute
values.
The order of negative numbers is the opposite order of their absolute values.
______j.
Two integers can have the same absolute value
______h.
2. Always, Sometimes, or Never
__________________a. Will the opposite of a positive number always, sometimes, or
never be a positive number?
__________________b. Will the opposite of zero always, sometimes, or never be zero?
__________________c. Will the opposite of a number always, sometimes, or never be
greater than the number itself?
__________________d. A decimal can be a rational number
__________________e. One integer can have two absolute values.
__________________f. Any given absolute value, will there always be two numbers that
have that absolute value?
2. 3. The table shows the elevations of several locations in a state park. Graph the locations on a
number line according to their elevations.
Little Butte
Cradle Creek Dinosaur Valley Mesa Ridge Juniper Trail
Location
A
B
C
D
E
Elevation (ft)
−8
5
−7
8
−3
a)
What point on the number line represents sea level? ______________________________
b)
Which location is closest to sea level? _________________________________________
c)
Is location C above or below sea level? ________________________________________
d)
Which two locations are the same distance from sea level? ________________________
_____________________________________________________________________________
4. Identify two words that represent a “positive integer” or addition to your bank account.
_________________________
_________________________
5. Identify two words that represent a “negative integer” or subtraction from your bank
account.
_________________________
_________________________
6. Write an integer to represent each of the following situations:
a) A plane takes off and reaches 1000 ft. of altitude.
____________
b) John owes his best friend $20.
____________
c) The temperature hit a high of -4 degrees Celsius
____________
d) The baseball was hit 420 feet.
____________
e) You earn $ 50 for babysitting one Friday night.
____________
f) A debit of $17 appears on your bank statement.
____________
3. 7. A credit of $55 and a debit of $70 are applied to your checking account. What is an
appropriate scale to graph a credit of $55 and a debit of $70? Explain.
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
8. Read each statement about a real-world situation and the two related statements. Circle the
correct way to describe each situation. If both ways are true, circle both letters.
The highest elevation of Dix Hills, New York with respect to sea level is given as 299 feet.
a. The highest point of Dix Hills is +299 feet.
b. The highest point of Dix hills is 299 feet above sea level.
Xavier’s body weight went up 7 pounds after he broke his leg.
a. Xavier’s weight increased 7 pounds.
b. The integer 7 represents the change in Xavier’s body weight in pounds.
9. On the number line below, locate the opposites of the numbers on the number line.
A. 5
B. -3
C. 7
D. -8
10. Write the integer that represents the opposite of each real-world situation. In words, write
the meaning of the opposite:
A. A gain of 15 pounds
B. A withdrawal of $20
C. A loss of 12 yards in football
D. Two degrees below zero
4. 11. Read each description carefully and write an equation that represents the description.
a. The opposite of negative five.
b. The opposite of the opposite of thirty - two.
c. The opposite of twenty six.
d. The opposite of negative fifty-eight.
12. Read each real-world description. Write the integer that represents the opposite of the
opposite. Show your work to support your answer.
a. temperature rise of
b. gain of
c. A loss of
degrees Fahrenheit.
yards.
pounds.
d. A withdrawal of
.
13. Write the integer that represents the statement. Locate and label each point on the number
line below.
e. The opposite of a gain of .
f. The opposite of a deposit of
.
g. The opposite of the opposite of .
h. The opposite of the opposite of .
i. The opposite of the opposite of a loss of .
5. 3
4
14. In math class, Jody claimed the following: Since 5 is greater than 4 , -5 must be greater
3
4
than -4 . Explain whether or not Jody is correct.
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
15. Order the following rational numbers from least to greatest:
3
4
-3.5, -3 , 3.25, -
18
1
, 3, -3.2, 2.75, 2
4
2
16. For each of the relationships described below, write an inequality that relates the rational
numbers.
a) A loss of $500 in the stock market is worse than a gain of $300 in the stock market.
b) A quiz score of 58 is worse than a quiz score of 57, and a quiz score is worse than a quiz
score of 59 ½.
c) In February the total snowfall was 15.3 inches, which is more than the total snowfall in
January and March which was 5.7 and 7.4 inches.
d) Nine and one-fourth yards of material is less than three-fourths yards of material.
6. 17. Fill in the blanks with numbers that correctly complete each of the inequalities statements.
a) Three integers between -2 and 2 _____<_____<______
b) Three rational numbers between 18 and 17 _____<_____<____
c) Three integers between 3 and -3 _____<______<_____
18.
Number
Absolute Value
Number Line Diagram
Different
Number with the
same Absolute
Value
18. For each of the following two quantities, which has the greater magnitude?
(Use absolute value to defend your answers.)
a) 600 feet below sea level and 500 feet above sea level ______________________
b) $450 lose and a $45.00 credit ______________________
c) deposit of $1,250 and a withdrawal of $1,205 ______________________
d) 13.05 feet and 13 feet ______________________
e) 25
degrees and 25 degrees ______________________
f) 33.37 tons and 33.375 tons ______________________
7. 19. The following temperatures were reported as the high temperatures each day for one week
in January in Anchorage, Alaska. Represent each reported temperature using a rational number
and then order the rational numbers from least to greatest.
Temperatures
as Reported
below
zero
above
zero
below
zero
below
zero
above
zero
below
zero
Temperature
(F)
20. As you approach zero from the left on the number line, the integers __________, but
the absolute values of those integers ________________. This means that the order of
negative integers is __________ the order of their absolute values.
21. Mason was ordering the following rational numbers in math class:
j. Order of the numbers from least to greatest.
k. List the order of their absolute values.
l. Explain why the orderings in parts (a) and (b) are different.
8. Name _______________________________
Mrs. Labuski / Mrs. Portsmore Period ______
1.
Date ____________________
Mid- Module 3 Review
True or False?
__T____a. Negative numbers are less than positive numbers.
__F____b. 0 is less than all negative numbers.
___ T __c. Zero is not positive or negative.
__ T ___d. A negative number can be a rational number.
__ T ___e. The absolute value of a negative number will always be a positive number.
__ T ___f. The absolute value of any number will always be a positive number.
__F____g. Positive numbers will always have a higher absolute value than negative
numbers.
___ T __h. The order of positive numbers is the same as the order of their absolute
values.
_ T _____i. The order of negative numbers is the opposite order of their absolute values.
__ T __j. Two integers can have the same absolute value
2. Always, Sometimes, or Never
____ ___never_________a. Will the opposite of a positive number always,
sometimes, or never be a positive number?
_____always__________b. Will the opposite of zero always, sometimes, or never be
zero?
______sometimes_____c. Will the opposite of a number always, sometimes, or never be
greater than the number itself?
____sometimes_______d. A decimal can be a rational number
______never_________e. One integer can have two absolute values.
________sometimes___f. Any given absolute value, will there always be two numbers
that have that absolute value?
9. 3. The table shows the elevations of several locations in a state park. Graph the locations on a
number line according to their elevations.
Little Butte
Cradle Creek Dinosaur Valley Mesa Ridge Juniper Trail
Location
A
B
C
D
E
Elevation (ft)
−8
5
−7
8
−3
A
C
B
E
D
a)
What point on the number line represents sea level? ___0__________________________
b)
Which location is closest to sea level? _____Juniper Trail (E)_____________________
c)
Is location C above or below sea level? __below________________________________
d)
Which two locations are the same distance from sea level? ________________________
Little Butte and Mesa Ridge
4. Identify two words that represent a “positive integer” or addition to your bank account.
____deposit________________
____credit_______________
5. Identify two words that represent a “negative integer” or subtraction from your bank
account.
_______withdrawal_________
___debit_______________
6. Write an integer to represent each of the following situations:
g) A plane takes off and reaches 1000 ft. of altitude.
__+1000_______
h) John owes his best friend $20.
__-20________
i) The temperature hit a high of -4 degrees Celsius
__-4__________
j) The baseball was hit 420 feet.
__420________
k) You earn $ 50 for babysitting one Friday night.
__50__________
l) A debit of $17 appears on your bank statement.
__-17_________
10. 7. A credit of $55 and a debit of $70 are applied to your checking account. What is an
appropriate scale to graph a credit of $55 and a debit of $70? Explain. I would count by
because both numbers are multiples of .
8. Read each statement about a real-world situation and the two related statements. Circle the
correct way to describe each situation. If both ways are true, circle both letters.
The highest elevation of Dix Hills, New York with respect to sea level is given as 299 feet.
a. The highest point of Dix Hills is +299 feet.
b. The highest point of Dix hills is 299 feet above sea level.
Xavier’s body weight went up 7 pounds after he broke his leg.
a. Xavier’s weight increased 7 pounds.
b. The integer 7 represents the change in Xavier’s body weight in pounds.
9. On the number line below, locate the opposites of the numbers on the number line.
A. 5
C
B. -3
C. 7
D. -8
B
A
D
10. Write the integer that represents the opposite of each real-world situation. In words, write
the meaning of the opposite:
A. A gain of 15 pounds
-15
B. A withdrawal of $20
20
C. A loss of 12 yards in football
12
D. Two degrees below zero
2
11. 11. Read each description carefully and write an equation that represents the description.
a. The opposite of negative five.
5
b. The opposite of the opposite of thirty - two. 32
c. The opposite of twenty six.
-26
d. The opposite of negative fifty-eight.
58
12. Read each real-world description. Write the integer that represents the opposite of the
opposite. Show your work to support your answer.
a. temperature rise of
b. gain of
c. A loss of
degrees Fahrenheit.
yards.
24
pounds.
d. A withdrawal of
22
-15
.
-5000
13. Write the integer that represents the statement. Locate and label each point on the number
line below.
a. The opposite of a gain of .
-8
b. The opposite of a deposit of
.
-12
c. The opposite of the opposite of .
0
d. The opposite of the opposite of .
2
e. The opposite of the opposite of a loss of .
b
a
e
c
-4
d
12. 3
4
14. In math class, Jody claimed the following: Since 5 is greater than 4 , -5 must be greater
3
4
than -4 . Explain whether or not Jody is correct.
Jody is not correct. - 5 is further to the left on the number line so it has less value. -4
3
is
4
further to the right on the number line so it has a larger value.
15. Order the following rational numbers from least to greatest:
3
4
-3.5, -3 , 3.25, -
-
18
1
, 3, -3.2, 2.75, 2
4
2
18
3
1
, -3 , -3.5, -3.2, 2 , 2.75, 3, 3.25,
4
4
2
16. For each of the relationships described below, write an inequality that relates the rational
numbers.
a) A loss of $500 in the stock market is worse than a gain of $300 in the stock market.
-500< 300
b) A quiz score of 58 is worse than a quiz score of 57, and a quiz score is worse than a quiz
score of 59 ½.
57< 58< 59½
c) In February the total snowfall was 15.3 inches, which is more than the total snowfall in
January and March which was 5.7 and 7.4 inches.
15.3 > 7.4 > 5.7
d) Nine and one-fourth yards of material is less than three-fourths yards of material.
9¼ < ¾
13. 17. Fill in the blanks with numbers that correctly complete each of the inequalities statements.
a) Three integers between -2 and 2 _-1____<__0___<__1___
b) Three rational numbers between 18 and 17 __17.25___<__17.5___<_17.75___
c) Three integers between 3 and -3 __-2___<___0___<__1___
(answers may vary for “b” and “c”)
18.
Number
Absolute Value
Number Line Diagram
Different
Number with the
same Absolute
Value
│-9│= 9
9
│2│= 2
-2
│-7│= 7
7
18. For each of the following two quantities, which has the greater magnitude?
(Use absolute value to defend your answers.)
a) 600 feet below sea level and 500 feet above sea level _____600______________
b) $450 lose and a $45.00 credit ___450___________________
c) deposit of $1,250 and a withdrawal of $1,205 __1250____________________
d) 13.05 feet and 13 feet _13_____________________
e) 25
degrees and 25 degrees ______25 ¼ ________________
f) 33.37 tons and 33.375 tons ____33.375__________________
14. 19. The following temperatures were reported as the high temperatures each day for one week
in January in Anchorage, Alaska. Represent each reported temperature using a rational number
and then order the rational numbers from least to greatest.
Temperatures
as Reported
Temperature
(F)
below
zero
above
zero
below
zero
below
zero
-6
15
-4
-12
above
zero
0
4
below
zero
-9
-12 < -9 < -6 < -4 < 0 < 4 < 15
20. As you approach zero from the left on the number line, the integers
__increase________, but the absolute values of those integers ___
decrease______________. This means that the order of negative integers is _
opposite__________ the order of their absolute values.
21. Mason was ordering the following rational numbers in math class:
a. Order of the numbers from least to greatest.
-15 <
< -3.3
b. List the order of their absolute values.
3.3 <
< 15
c. Explain why the orderings in parts (a) and (b) are different.
The order of negative numbers is the opposite order of their absolute values.
