ALGEBRA 1
8 DAYS OF CHRISTMAS PROJECT
DUE DATE: MONDAY, January 2nd at the beginning of your class period (no late projects will be accepted)
Directions:
Each day you have an assessment for a different objective (thus it’s easy to use your notes/book from that unit and not have to flip through an entire notebook/book J)… and you’re not overwhelmed with trying to do an entire project the night before you come back to school!
Show ALL work on another sheet of paper. It must be numbered, in order and neat. No work means NO CREDIT!
Circle the correct multiple choice answer on the worksheet.
Because you have 10 weekdays during your holiday break but only “8” assessments in this project, you have a fun option for your 9th or 10th day. You may choose to create a “fun” cover for your project. Be creative and be colorful. You can earn up to 5 bonus points for the cover. It is not required (you may choose to take a 9th and 10th day of rest if you chooseJ).
Assemble your project in this order:
1. COVER (If you choose to make one)
2. ASSESSMENT PAGES WITH CIRCLED MULTIPLE CHOICE ANSWERS
3. WORK ON SEPARATE PAPER
Grading: 38 points for showing all work on separate paper
62 points for correct multiple choice answers (each one counts 1 point)
Helpful hints: *Do your assessments each day… don’t wait until the last minute or you’ll have 8 assessments in one day (we all know what that means). *Make sure your name is on the front cover. If you do not create a front cover, make sure your name is on the first assessment page. *Use your notes and book… don’t expect to remember it all. This is cumulative! *Make flash cards for formulas along the way or create a formula sheet. *This should only take about 30minutes (if that) each day. Get some rest over the break. Be rejuvenated for the New Year because you will only have 8 days before the big EXAM! *Have a wonderful Holiday Break!
Assessment Day 1 Linear Functions 1
Rosie has been giving her plant the same amount of water each day for the last 5 days. The following graph represents this information.1. How much water has Rosie been giving her plant each day for the last 5 days?
A. 4 ounces
B. 3 ounces
C. 2 ounces
D. 1 ounce
2. If Rosie had given her plant 5 ounces of water each day, how would the graph above be affected?
A. the line would be flatter
B. the line would be steeper
C. all points would move up
D. all points would move down / Jasmine has $300 to spend on renting a jet ski. The cost to rent the jet ski is $50 per hour and $3 per gallon of fuel used. The following graph represents the information.
5. What linear inequality represents the information?
A.
B.
C.
D.
6. If Jasmine rides the jet ski for 3 hours, what is the largest number of gallons of fuel she could buy?
A. 10 B. 30
C. 50 D. 100
3. If (2, y) is a solution to 4x – 2y = 6, what is the value of y?
A. –7 B. 1
B. 7 D. –1 / 7. The Johnsons are on vacation in New York City. They want to tour the city and must decide between taking a taxi that charges $0.20 per minute or renting a car for $240 per day. Which inequality can be used to determine the number of minutes, m, they must travel in order for the rental car to be a better value?
A. .2m + m > 240
B. 240 - .2m < 600
C. .2m > 240
D. 240 + .2m > 600
4. The sales tax is 8% for items bought inside the city limits. The rate of tax represents the slope on a certain graph. Which of the following represents that slope?
A. B.
C. D.
Assessment Day 2 Linear Functions2
1. The resistance R of a wire varies directly as its length L. If the constant of proportionality between R and L is 0.007, what is the ratio of the resistance of a 20-foot wire to its length?A. B.
C. D. / 5. The distance a car travels depends on the time traveled and the rate of speed. If the distance traveled remains constant and the rate of speed is increased, how does the time change?
A. The time increases.
B. The time stays the same
C. The effect on the time cannot be determined.
D. The time decreases.
2. Which term represents the values of the dependent variable in a function?
A. slope B. domain
C. range D. intercept / 6. Which equation best represents the relation given in the table below?
x / y
–2
–1
0
1
2 / –2
0
2
4
6
A. y = 2x + 2
B. y = –2x + 2
C. y = 2x – 2
D. y = –2x – 2
3. A greeting card company tracked the sales of their cards from 1980 to present in billions of dollars. The equation of the line of best fit is. Predict the sales of their cards in 2005?
A. 6.9 billion B. 9.12 billion
C. 11.5 billion D. 1150 billion / 7. The equation c = 40h + 50 can be used to find the cost for renting a bounce house for a birthday party for h hours. The line through the (h, c) ordered pair crosses the vertical axis at the y-intercept. What does the y-intercept represent?
A. It represents the number of hours rented.
B. It represents the maximum cost of renting a bounce house
C. It represents the minimum fee that must be paid for the owner to bring the bounce house to the party.
D. It represents the total cost for renting the bounce house for 8 hours.
4. Which point is above the trend line in the scatterplot?
A. Latitude 30˚ North, 60˚F
B. Latitude 40˚ North, 48˚F
C. Latitude 45˚ North, 50˚F
D. Latitude 55˚ North, 30˚F
8. Suppose y varies directly as x, and y = 5 when x = 2. What is the value of y when x =7?
A. 2.8
B. 10
C. 17.5
D. 35
Assessment Day 3 Systems
1. How many solutions does the following system of linear equations have?A. Infinite B. two
C. one D. none / 5. Which system of inequalities is represented by the graph below?
A. B.
C. D.
2. George bought 7 DVDs for $78. Each DVD costs either $9 or $12. How many DVDs did George buy that cost $12?
A. 2 B. 3 C. 5 D. 6 / 6. Leticia and Renée have part-time jobs. Renée earns $60 more each week than Leticia. In 10 weeks, Leticia earns as much as Renée in 4 weeks. Which system of equations will determine the weekly earnings of Leticia, l and Renée, r?
A.
B.
C.
D.
3. A golf tournament uses the formula to compare this year’s attendance to the average attendance over the previous five years. Which formula can be used to find X?
A. B.
C. D.
4. Line m is parallel to line n and passes through (5, –4). If the equation of line n is, which describes m?
A. Line m has a slope of and a y-intercept of –4.
B. Line m has a slope of and a y-intercept of –2.
C. Line m has a slope of and a y-intercept of 1.
D. Line m has a slope of and a y-intercept of 5. / 7. Manny makes $405 every 9 days. At this rate, how much will he make in two weeks?
A. $260.36
B. $630.00
C. $31.00
D. $790.00
8. The formula for the area of a triangle is. If the height, h = 4x and the base, b = 2x2 + 5x, which polynomial below represents the area of the triangle?
A.
B.
C.
D.
Assessment Day 4 Matrices
A. B.
C. D. / 4. The length a spring will stretch varies directly as the weight attached to the spring. If the spring stretches 1.6 inches when a 24-pound weight is attached, how far will it stretch when a 15-pound weight is attached?
A. 3.9 inches
B. 2.56 inches
C. 2.25 inches
D. 1 inch
5. The matrix below shows the price of different video games in different years.
Which game had the largest decrease in value over the four-year period?
A. Game 4 B. Game 3
C. Game 2 D. Game 1
2. Marcus has been collecting quarters and dimes. Marcus took his coins to the bank and received $47.65. Marcus counted a total of 250 coins. Which system of linear equations will help Marcus figure out how many quarters and dimes he saved?
A. B.
C. D. / 6. Which term represents the values of the independent variable in a function?
A. slope B. domain
C. range D. intercept
7. Ahmad’s weekly gross income includes a salary plus commission on his weekly sales. His weekly gross income is compared to his weekly sales in the graph. What does the y-intercept of the graph represent?
A. Ahmad’s commission rate
B. Ahmad’s weekly sales
C. Ahmad’s weekly salary
D. Ahmad’s commission
3. is an altitude of trapezoid GHIJ. Which is an equation of the line that includes?
A.
B.
C.
D.
Assessment Day 5 Midpoint and Distance
1. Archeologists have located an artifact midway between A and K. They have labeled this point M. Which are the coordinates of M?A. (2, 18)
B. (0, –3)
C. (1, 9)
D. (0, 8) / 4. Lisa can join a ski club and pay a reduced fee for the ski lift or he can pay full price each time he takes the ski lift. The table shows the total cost for each option for the first 6 lifts. At what point does it cost less to join the ski club?
Number of Tickets / 1 / 2 / 3 / 4 / 5 / 6
Ski Club / $140 / $155 / $170 / $185 / $200 / $215
Individual Tickets / $29 / $58 / $87 / $116 / $145 / $174
A. lift 8 B. lift 9 C. lift 10 D. lift 11
2. A coordinate grid shows the location of a proposed straight running trail in Mammoth Park. The drawing shows Plain Creek as the positive x-axis and Main Road as the positive y-axis. The proposed straight-line running trails runs from the Rec. Center (1, 1.4) to a point on Plain Creek (x, 0). If the proposed Running course is exactly 5 miles long, where will it intersect Plain Creek?
A. (5.8, 0)
B. (–5.8, –5)
C. (–5.8, 0)
D. (0, –5.8) / 5. The temperature T of vegetable oil after n minutes of heating can be modeled by the function T = –0.04n + 1.6n + 18. Which point on the graph of the function represents the initial temperature of the oil?
A. the smaller zero
B. the larger zero
C. the maximum
D. the y-intercept
6. Which expression is equivalent to ?
A. B.
B. D.
7. Which inequality describes the graph?
A.
B.
C.
D.
3. If, which element is in row 4, column 3 of Q?
A. –108 B. 72 C. –63 D. 12
Assessment Day 6 Factoring and Quadratics
1. Nina has a poster with a length 4 inches greater than its width. A frame 2 inches wide will be placed around the poster. The area of the poster and frame together is 672 square inches. Which equation could be used to find the width x of the poster?A. (x + 4)(x + 8) = 672 in2
B. x(x + 4) = 672 in2
C. (x + 2)(x + 6) = 672 in2
D. x2 + 12 = 672 in2 / 5. Factor completely.
A. (2u – v)(2u + v)(u2 + v)
B. (2u2 – 4v)(2u2 + 4v)
C. 4(u2 – 2v)(u2 – 2v)
D. 4(u2 – 2v)(u2 + 2v)
6. Which is an equation of a line that includes an altitude of rhombus WXYZ?
A. y = 5x – 8
B. y = –5x – 2
C. y = x
D. y = –x
2. Alisha bought 5 fish for her aquarium. The fish will double every month. The equation f = 5 • 2x shows the total number of fish, f, after x months. At this rate, how many fish will Alisha have after 3 months?
A. 40 fish
B. 50 fish
C. 30 fish
D. 20 fish / 7. The equation y = 3,900x + 62,583 models the change in average housing prices y over the last x years in a suburb. Which value does the slope of the line represent?
A. The increase in average price between two consecutive years.
B. The decrease in average price between two consecutive years.
C. The average price the first year.
D. The average price the last year.
3. Which binomial is a factor of?
A. 3x – 1
B. x – 1
C. 3x – 5
D. x – 5 / 8. The results of a survey comparing the cost of staying one night in moderately priced hotels in four large cities are given in the table. Which city had the greatest range of prices?
New York / San Francisco / Dallas / Raleigh
$250 / $150 / $90 / $95
$200 / $130 / $96 / $138
$175 / $148 / $105 / $148
$220 / $135 / $100 / $125
$225 / $140 / $98 / $128
A. New York
B. San Francisco
C. Dallas
D. Raleigh
4. The length of a rectangle is 8 ft. more than its width. Find the dimensions in feet if the area is 20 ft2.
A. 2 ft. ´ 10 ft.
B. 5 ft. ´ 4 ft.
C. 8 ft. ´ 2 ft.
D. 2 ft. ´ 6 ft.
Assessment Day 7 Quadratics and Systems