Algebra 1 Teachers Weekly Assessment Package Units 1-6. Created by: Jeanette Stein Algebra 1 Teachers

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1 Algebra 1 Teachers Weekly Assessment Package Units 1-6 Created by: Jeanette Stein 2014 Algebra 1 Teachers

2 SEMESTER 1 SKILLS 4 UNIT 1 6 WEEK #1 7 WEEK #2 8 WEEK #3 10 WEEK #4 12 UNIT 1 - KEYS 14 WEEK #1 - KEY 15 WEEK #2 - KEY 16 WEEK #3 - KEY 18 WEEK #4 -KEY 20 UNIT 2 22 WEEK #5 23 WEEK #6 25 WEEK #7 27 UNIT 2 - KEYS 29 WEEK #5 - KEY 30 WEEK #6 - KEY 32 WEEK #7 - KEY 34 UNIT 3 36 WEEK #8 37 WEEK #9 38 UNIT 3 - KEYS 40 WEEK #8 KEY 41 WEEK #9 KEY 42 UNIT 4 44 WEEK #11 45 WEEK # Semester 1 Skills Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

3 WEEK #13 50 UNIT 4 - KEYS 52 WEEK #11 KEY 53 WEEK #12 KEY 55 WEEK #13 KEY 58 UNIT 5 60 WEEK #14 61 WEEK #15 62 UNIT 5 - KEYS 64 WEEK #14 KEY 65 WEEK #15 KEY 66 UNIT 6 68 WEEK #16 69 WEEK #17 71 UNIT 6 - KEYS 73 WEEK #16 KEY 74 WEEK #17 KEY 76 3 Semester 1 Skills Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

4 Algebra 1 Common Core Semester 1 Skills Number Unit CCSS Skill 1 1 A.REI.3 Solve two step equations (including proportions) 2 1 Order of Operations 3 1 Create a table from a situation 4 1 A.REI.10 Create a graph from a situation 5 1 F.BF.1 Create an equation from a situation 6 1 F.IF.1 Identify a function 7 1 F.IF.2 Evaluate a function 8 1 A.REI.6 Basic Systems with a table and graph 9 1 F.LE.1 Identify linear, exponential, quadratic, and absolute value functions 10 2 F.BF.3 Translate a graph in function notation 11 2 F.IF.6 Calculate Slope 12 2 S.ID.7 Interpret meaning of the slope and intercepts 13 2 F.BF.2 Construct an arithmetic sequence 14 2 F.BF.4 Find the inverse of a function 15 3 S.ID.6 Find the line of best fit 16 3 S.ID.6 Predict future events given data 4 Semester 1 Skills Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

5 17 3 S.ID.8 Calculate Correlation Coefficient with technology 18 3 S.ID.9 Understand the difference between Causation and Correlation 19 4 S.ID.1 Create box plots 20 4 S.ID.2 Calculate and compare measures of central tendencies 21 4 S.ID.3 Understand the effects of outliers 22 4 S.ID.5 Use two way frequency tables to make predictions 23 4 N.QA.1 Convert Units 24 4 N.QA.3 Understand Accuracy 25 5 A.REI.3 Solve advanced linear equations 26 5 A.REI.1 A.CED.4 Solve literal equations and justify the steps 27 5 A.REI.3 Solve inequalities 28 5 A.REI.12 Graph inequalities 29 6 A.REI.6 Solve a system of equations by graphing 30 6 A.REI.6 Solve a system of equations by substitution 31 6 A.REI.5 Solve a system of equations by elimination 5 Semester 1 Skills Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

6 Unit 1 Weekly Assessments 6 Unit 1 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

7 Week #1 1. The carnival charges $15 for admissions and $2 per ride. (x = number of rides, y = cost) Write an equation for the situation. Fill in the table. x y 4. Which of the following expressions are equivalent to 10? Circle yes or no. ( 8) + 6(8 5) yes / no 3 + 6(5 + 4) 3 7 yes / no ( 4)( 3) 6 2[5 ( 8) + (6 2)] yes / no 2. Which equations are equivalent to 10 = 4x? Circle yes or no. a. 8x = 20 yes / no 5. Solve for x 3x + 4 = x = 4 b. 12 = 4x + 2 yes / no c. 12 = 6x yes / no 3. Graph: y = 2x Graph: 2x + 3y = 12 7 Unit 1 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

8 Week #2 1. The admission for the class to go to Michigan s Adventure is $24 per person. The cost of the busses for the entire 9th grade will be $450. a. Write an equation or rule that represents the function. b. Make a table that show how much a trip will cost for 50 students, 100 students, 150 students, and 200 students. c. Graph. 2. a. Which point shows the heaviest bag? b. Which point shows the cheapest bag? c. Which bag is the best value? Why? 3. Does this graph represent a function? Why or why not? 4. Every student earns a grade on the last test. Please define the domain and range of this function. Domain Range 8 Unit 1 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

9 Week #2 Continued 5. Evaluate the function for the given values. f(x) = 3x 2x Deshawn s Bikes rents bikes for $11 plus $5 per hour. Maria paid $51 to rent a bike. For how many hours did she rent the bike? f(3) = f( 1) = f(⅖ ) = 9 Unit 1 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

10 Week #3 1. Are the following functions? Circle yes or no. 3. Find the domain and range of the function. y + 2 = 4x 2 yes / no f(x) = x Domain: Range: yes / no {(2, 3), (5, -2), (5, 6), (3, 3), (4, 1)} yes / no 2. The Red bus company charges $100 plus $50 per hour to rent a bus. The Blue bus company charges $200 plus $25 per hour. After how many hours do the bus companies charge the same amount? Hours rented Red Bus $ Blue bus $ 10 Unit 1 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

11 Week #3 Continued 4. Write a story that fits the graph. 5. Write a function for the pattern 7, 12, 17, 22, 27, 6. Willie spent half of his weekly allowance on clothes. To earn more money his parents let him weed the garden for $5. What is his weekly allowance if he ended with $12? f(x) = What is the value of f(14)? 11 Unit 1 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

12 Week #4 1. The original line is solid. What is the translation to the dotted line written in function notation? 4. Oakland Coliseum, home of the Oakland Raiders, is capable of seating 63,026 fans. For each game, the amount of money that the Raiders' organization brings in as revenue is a function of the number of people, n, in attendance. If each ticket costs $30.00, find the domain and range of this function. Domain: Range: 2. Given f(x)below, please graph (Be sure to label) a. f(x-2) b. f(x)+3 5. A certain business keeps a database of information about its customers. Let C be the rule which assigns to each customer shown in the table his or her home phone number. Is C a function? Customer Name Home Phone Number Heather Baker Mike London Sue Green Bruce Swift Michelle Metz Unit 1 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

13 Week #4 Continued 3. You are going to a water park. You can buy a wrist band for $10 and go on the slides all day long, or you can pay $0.75 for every slide. Which is the better buy? How do you know? 6. For a field trip 26 students rode in cars and the rest filled nine buses. How many students were in each bus if 332 students were on the trip? 13 Unit 1 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

14 Unit 1 - KEYS Weekly Assessments 14 Unit 1 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

15 Week #1 - KEY 1. The carnival charges $15 for admissions and $2 per ride. (x = number of rides, y = cost) Write an equation for the situation. Y = x Fill in the table. x y 4. Which of the following expressions are equivalent to 10? Circle yes or no. ( 8) + 6(8 5) yes / no 3 + 6(5 + 4) 3 7 yes / no ( 4)( 3) 6 2[5 ( 8) + (6 2)] yes / no Which equations are equivalent to 10 = 4x? Circle yes or no. a. 8x = 20 yes / no 5. Solve for x 3x + 4 = x = 4 X = 2 x = 4 b. 12 = 4x + 2 yes / no c. 12 = 6x yes / no 3. Graph: y = 2x Graph: 2x + 3y = Unit 1 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

16 Week #2 - KEY 1. The admission for the class to go to Michigan s Adventure is $24 per person. The cost of the busses for the entire 9th grade will be $450. a. Write an equation or rule that represents the function. Y = x b. Make a table that show how much a trip will cost for 50 students, 100 students, 150 students, and 200 students. students Cost ($) c. Graph a. Which point shows the heaviest bag? G b. Which point shows the cheapest bag? C c. Which bag is the best value? ANSWERS WILL VARY Why? 3. Does this graph represent a function? NO Why or why not? Using the vertical line test, the line will hit two points at several different x values. 4. Every student earns a grade on the last test. Please define the domain and range of this function. Domain STUDENTS Range SCORES 16 Unit 1 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

17 Week #2 Continued 5. Evaluate the function for the given values. f(x) = 3x 2x Deshawn s Bikes rents bikes for $11 plus $5 per hour. Maria paid $51 to rent a bike. For how many hours did she rent the bike? f(3) = x = 51 X = 8 f( 1) = 0 f(⅖ ) = Unit 1 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

18 Week #3 - KEY 1. Are the following functions? Circle yes or no. 3. Find the domain and range of the function. y + 2 = 4x 2 yes / no f(x) = x yes / no Domain: all real numbers Range: f(x) is greater than or equal to 2 {(2, 3), (5, -2), (5, 6), (3, 3), (4, 1)} yes / no 2. The Red bus company charges $100 plus $50 per hour to rent a bus. The Blue bus company charges $200 plus $25 per hour. After how many hours do the bus companies charge the same amount? 4 hours Hours rented Red Bus $ Blue bus $ Week #3 Continued 18 Unit 1 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

19 4. Write a story that fits the graph. VARY 5. Write a function for the pattern 7, 12, 17, 22, 27, f(x) = 5x Willie spent half of his weekly allowance on clothes. To earn more money his parents let him weed the garden for $5. What is his weekly allowance if he ended with $12? x/2 + 5 = 12 x = 14 What is the value of f(14)? Unit 1 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

20 Week #4 -KEY 1. The original line is solid. What is the translation to the dotted line written in function notation? 4. Oakland Coliseum, home of the Oakland Raiders, is capable of seating 63,026 fans. For each game, the amount of money that the Raiders' organization brings in as revenue is a function of the number of people, n, in attendance. If each ticket costs $30.00, find the domain and range of this function. Domain: Number of People Range: Amount of Money (x, y+4) 2. Given f(x)below, please graph (Be sure to label) a. f(x-2) b. f(x)+3 5. A certain business keeps a database of information about its customers. Let C be the rule which assigns to each customer shown in the table his or her home phone number. Is C a function? YES Customer Name Home Phone Number Heather Baker Mike London Sue Green Bruce Swift Michelle Metz Unit 1 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

21 Week #4 Continued 3. You are going to a water park. You can buy a wrist band for $10 and go on the slides all day long, or you can pay $0.75 for every slide. Which is the better buy? How do you know? VARY 6. For a field trip 26 students rode in cars and the rest filled nine buses. How many students were in each bus if 332 students were on the trip? x = 332 X = Unit 1 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

22 Unit 2 Weekly Assessments 22 Unit 2 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

23 Week #5 1. Given f(x) = x 2 2x + 9, find: a. f(2) = 2. Find the slope of the graph between the two points. a. (4, 3), (8, -5) b. f( 3) = b. (3/4, 5/2), (2/3, -1/4) c. f(1/2) = c. (5, 8), (5, 10) 3. You have $22.50 in your piggy bank. You choose to buy two cookies every day at lunch for yourself and your sweetheart. They cost $.75 for both cookies. Create an equation, table, and graph for this situation. Equation: Table: Graph: 23 Unit 2 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

24 Week #5 Continued 4. The below table provides some U.S. Population data from 1982 to 1988: Year Population (thousands) Change in Population (thousands) , , , , , , , If we were to model the relationship between the U.S. population and the year, would a linear function be appropriate? Explain why or why not. Mike decides to use a linear function to model the relationship. He chooses 2139, the average of the values in the 3rd column, for the slope. What meaning does this value have in the context of this model? Use Mike's model to predict the U.S. population in As I fill the following beaker with water at a constant rate, graph the height of the water in relation to time. 6. Suppose f is a function. If 12 = f( 9), give the coordinates of a point on the graph of f. If 16 is a solution of the equationf(w) = 6, give a point on the graph of f. 24 Unit 2 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

25 Week #6 1. Emma understands that the function, f(x) = 3.5x + 10 gives her the price for the bands t-shirts given the $10 set up fee and the price of $3.50 per shirt. She also knows that there are 88 band members. What is the total cost for the shirts? 2. Lauren keeps records of the distances she travels in a taxi and what she pays: Distance, d, in miles Fare, F, in dollars a. If you graph the ordered pairs (d, F) from the table, they lie on a line. How can you tell this without graphing them? b. Show that the linear function in part (a) has equation F = 2.25d c. What do the 2.25 and the 1.5 in the equation represent in terms of taxi rides? 3. Solve the following equations and justify the steps. a. 1 5x 3 (4x + 1) = 9 b. 10 = Unit 2 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

26 Week #6 Continued 4. If you have $10, you can buy 4 cookies and no brownies or you can buy 5 brownies and no cookies. There are several other options as well. Graph the situation. 5. a. Let F assign to each student in your math class his/her locker number. Explain why F is a function. If you have $10 and you buy 1 cookie a day you will run out of money after 5 days. Graph the situation. b. Describe conditions on the class that would have to be true in order for F to have an inverse. Which situation has the cheaper cookie? (Circle one) 1 st 2 nd Not enough information 6. Candy bars cost $1.50 each. What is the total bill? What is the domain? What is the range? 26 Unit 2 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

27 Week #7 1. A souvenir shop in Niagara Falls sells picture postcards priced as follows: Postcards 15 cents each Six for $1 2. a. Suppose P1= (0,5) and P2= (3, 3). Sketch P1 and P2. a. Graph the price of buying postcards as a function of the number of cards purchased. For which real numbers m and b does the graph of a linear function described by the equation f(x) = mx + b contain P1 and P2? Explain. Do any of these graphs also contain P2? Explain. b. Suppose P1= (0,5) and P2= (0,7). Sketch P1 and P2. b. Is there something wrong with this pricing scheme? Explain. Are there real numbers m and b for which the graph of a linear function described by the equation f(x) = mx + b contains P1 and P2? Explain. c. Now suppose P1= (c, d) and P2= (g, h) and c is not equal to g. Show that there is only one real number m and only one real number b for which the graph of f(x) = mx + b contains the points P1 and P2. 27 Unit 2 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

28 Week #7 Continued 3. Given f(x) = 2x + 1 and g(x) = x Show that the two functions are inverses. 4. Graph f(x) = 2x + 4 and the inverse of f(x). Where do they intersect? 5. Translate the functions so that they intersect at (3,4). (Feel free to use the graph if you like.) f(x) = 1 3 x + 1 g(x) = 1 2 x The three graphs show the functions f(x) = 2x g(x) = 2(x + 1) h(x) = 2x + 1 Label the three graphs below. f(x) = g(x) = 28 Unit 2 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

29 Unit 2 - KEYS Weekly Assessments 29 Unit 2 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

30 Week #5 - KEY 1. Given f(x) = x 2 2x + 9, find: a. f(2) = 9 2. Find the slope of the graph between the two points. a. (4, 3), (8, -5) -1/2 b. f( 3) = 24 b. (3/4, 5/2), (1/2, -1/4) 11 c. f(1/2) = 8.25 c. (5, 8), (5, 10) undefined 3. You have $22.50 in your piggy bank. You choose to buy two cookies every day at lunch for yourself and your sweetheart. They cost $.75 for both cookies. Create an equation, table, and graph for this situation. Equation: y = x Table: Graph: Money in Piggy Bank 20 X y x Days 30 Unit 2 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

31 Week #5 Key Continued 4. The below table provides some U.S. Population data from 1982 to 1988: Year Population (thousands) Change in Population (thousands) , , , , , , , If we were to model the relationship between the U.S. population and the year, would a linear function be appropriate? Explain why or why not. Yes the function is linear, because the change of population stays relatively the same each year. Mike decides to use a linear function to model the relationship. He chooses 2139, the average of the values in the 3rd column, for the slope. What meaning does this value have in the context of this model? The number 2139 tells us the amount that the population increases each year. Use Mike's model to predict the U.S. population in * ,499 = 255, As I fill the following beaker with water at a constant rate, graph the height of the water in relation to time. 6. Suppose f is a function. If 12 = f( 9), give the coordinates of a point on the graph of f. (-9, 12) If 16 is a solution of the equationf(w) = 6, give a point on the graph of f. (16, 6) 31 Unit 2 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

32 Week #6 - KEY 1. Emma understands that the function, f(x) = 3.5x + 10 gives her the price for the bands t-shirts given the $10 set up fee and the price of $3.50 per shirt. She also knows that there are 88 band members. What is the total cost for the shirts? f(88) = 318 $ Lauren keeps records of the distances she travels in a taxi and what she pays: Distance, d, in miles Fare, F, in dollars a. If you graph the ordered pairs (d, F) from the table, they lie on a line. How can you tell this without graphing them? Yes, finding the slopes tells us that they are the same for both intervals. b. Show that the linear function in part (a) has equation F = 2.25d There is only one possible line in part (a), since two points determine a line. The graph of F 2.25d+1.5 is a line, so if we show that each ordered pair satisfies it then we will know that it is the same line as in part (a). (3,8.25)(5,12.75)(11,26.25):2.25(3)+1.5=8.25:2. 25(5)+1.5=12.75:2.25(11)+1.5=26.25 c. What do the 2.25 and the 1.5 in the equation represent in terms of taxi rides? The 2.25 represents the cost per mile for the ride. The 1.5 represents a fixed cost for every ride; it does not depend on the distance traveled Solve the following equations and justify the steps. a. 1 5x 3 (4x + 1) = 9 b. 10 = 3 4 4x + 1 = 27 (Mult prop of equality) 4x = 26 (Add prop of equality) X = 6.5 (Div prop of equality) 40 = 5x 3 (Mult prop of equality) 43 = 5x (Add prop of equality) 8.6 = x (Division prop of equality) 32 Unit 2 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

33 br o w ni es Week #6 Continued 4. If you have $10, you can buy 4 cookies and no brownies or you can buy 5 brownies and no cookies. There are several other options as well. Graph the situation. 5. a. Let F assign to each student in your math class his/her locker number. Explain why F is a function. F is a function because it assigns to each student in the class exactly one element, his/her locker number. b. Describe conditions on the class that would have to be true in order for F to have an inverse. cookies If you have $10 and you buy 1 cookie a day you will run out of money after 5 days. Graph the situation. Students would not share lockers. $ cookies Which situation has the cheaper cookie? (Circle one) 1 st 2 nd Not enough information 6. Candy bars cost $1.50 each. What is the total bill? What is the domain? Number of Candy Bars What is the range? Cost 33 Unit 2 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

34 Price (Dollars) Week #7 - KEY 1. A souvenir shop in Niagara Falls sells picture postcards priced as follows: 2. a. Suppose P1= (0,5) and P2= (3, 3). Sketch P1 and P2. Postcards 15 cents each Six for $1 a. Graph the price of buying postcards as a function of the number of cards purchased. For which real numbers m and b does the graph of a linear function described by the equation f(x) = mx + b contain P1 and P2? Explain. m = -8/3 b = 5 b. Suppose P1= (0,5) and P2= (0,7). Sketch P1 and P2. Number of Postcards b. Is there something wrong with this pricing scheme? Explain. Six for $1 cost approximately $0.17 each which is higher than the initial $0.15 per postcard. Are there real numbers m and b for which the graph of a linear function described by the equation f(x) = mx + b contains P1 and P2? Explain. No, because this is not a function. c. Extension: Now suppose P1= (c, d) and P2= (g, h) and c is not equal to g. Show that there is only one real number m and only one real number b for which the graph of f(x) = mx + b contains the points P1 and P2. See website for full explanation Unit 2 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

35 Week #7 Continued 3. Given f(x) = 2x + 1 and g(x) = x Show that the two functions are inverses. 4. Graph f(x) = 2x + 4 and the inverse of f(x). F(g(x)) = 2( x ) +1 = x G(f(x)) = 2x+1 1 = x 2 2 Where do they intersect? (-4, -4) 5. Translate the functions so that they intersect at (3,4). (Feel free to use the graph if you like.) f(x) = 1 3 x + 1 g(x) = 1 2 x The three graphs show the functions f(x) = 2x (Blue) g(x) = 2(x + 1) (Red) h(x) = 2x + 1 (Green) Label the three graphs below. f(x) = 1 (x + 4) g(x) = 1 (x + 4) Unit 2 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

36 Unit 3 Weekly Assessments 36 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

37 Week #8 The table gives the number of hours spent studying for a science exam and the final exam grade. Study hours Grade a. Draw a scatter plot of the data and draw in the line of best fit. 1 b. What is the equation for the line of best fit? 1 c. Predict the grade for a student who studied for 6 hours. 2. Solve two step equations 5 3x = Write a story problem for the following equation. 2x + 4 = Evaluate the function f(3) = 2x Unit 3 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

38 Week #9 1. The accompanying table shows the enrollment of a preschool from 1980 through Write a linear regression equation to model the data in the table. 2. Find the inverse of the function. y = 3x 7 3. Create a scatterplot and a table of the Average Cost Loaf of Bread. Use the graph to predict the cost in , 9 cents, 1940, 10 cents, 1950, 12 cents, 1960, 22 cents, 1970, 25 cents, 1980, 50 cents, 1990, 70 cents, 2008, $2.79 Cost in 2020 = 38 Unit 3 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

39 4. Match the following correlation coefficients with the approprite graph. r =.86 r =.90 r =.80 r = Unit 3 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

40 Unit 3 - KEYS Weekly Assessments 40 Unit 3 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

41 Week #8 KEY The table gives the number of hours spent studying for a science exam and the final exam grade. Study hours Grade a. Draw a scatter plot of the data and draw in the line of best fit b. What is the equation for the line of best fit? Answers may vary: y = 5x c. Predict the grade for a student who studied for 6 hours. Answers may vary: Solve two step equations 5 3x = 11 X = Write a story problem for the following equation. 2x + 4 = 10 Answers may vary: You have $4 and your grandma gives you $2 per week. How long will it take you to have $10? 4. Evaluate the function f(3) = 2x 2 4 f(3) = Unit 3 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

42 Week #9 KEY 1. The accompanying table shows the enrollment of a preschool from 1980 through Write a linear regression equation to model the data in the table. 2. Find the inverse of the function. y = 3x 7 y = x Answers will vary: y = 1.15x Create a scatterplot and a table of the Average Cost Loaf of Bread. Use the graph to predict the cost in , 9 cents, 1940, 10 cents, 1950, 12 cents, 1960, 22 cents, 1970, 25 cents, 1980, 50 cents, 1990, 70 cents, 2008, $2.79 Year Cost Cost in 2020 = Answers will vary 42 Unit 3 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

43 4. Match the following correlation coefficients with the approprite graph. r =.86 r =.90 r =.80 r = r = -.10 r = r = -.86 r = Unit 3 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

44 Unit 4 Weekly Assessments 44 Unit 4 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

45 Week #11 1. Find the inverse of f(x) = 2x 7 2. For the group data 4, 4, 6, 10, 13, what is the relationship between the mean and median? 3. Create a box plot for the given data. 21, 20, 5, 18, 7, 16, 8, 5, 22, 19, 12, 9, 8, 20, Unit 4 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

46 4. Find the rate of change between 1980 and 2009 of the given data. Write your answers as a full sentence. Number of dropouts (1,000) The National Data Book to 17 years Predict how much money the average household will spend on clothes in Unit 4 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

47 Week #12 1. Emma s first test scores were 80%, 84%, 95%, and 82%. Which of the following test scores would result in the greatest difference in Emma s mean score? a. 50% b. 70% c. 85% d. 100% 2. Your grades are graphed below. Semester 1 Grades: Semester 2 Grades: The median has changed from to. The upper quartile has changed from to. The lower quartile has changed from to. What can you conclude about your grades? Can you conclude that every grade dropped? 47 Unit 4 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

48 Number of Students 3. 6 Algebra Grades 6 4. A public opinion survey explored the relationship between age and support for increasing the minimum wage Grade In the 21 to 40 age group, what percentage supports increasing the minimum wage? What is the median grade? What is the mean grade? 48 Unit 4 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

49 Use the graph below to answer the questions Calculate the line of best fit. 49 Unit 4 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

50 Week #13 1. Which number is more precise? A feet B feet Explain: 2. What percent of students that studied between 2 and 4 hours earned higher than a 75% on the test? 3. Identify the outlier in the data below. Find the mean of the population of the 7 largest cities in the United States with and without the outlier. How does the outlier change the mean? City, State Population (Millions) New York, NY 8.1 Los Angeles, CA 3.8 Chicago, IL 2.7 Houston, TX 2.1 Philadelphia, PA 1.5 Phoenix, AZ 1.4 San Antonio, TX 1.3 Outlier: Mean Population with Outlier: Mean Population without Outlier: How does the outlier change the mean? 50 Unit 4 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

51 4. The speed of a giraffe is 50 km/h. If the giraffe continues at the same speed, after 2 hours, how many miles has the giraffe traveled? (Hint: 1 mile = kilometers) 5. Convert 12 mph to feet per second. (Hint: 5,280 feet = 1 mile) 6. For the following situations, decide whether or not there is a correlation and whether it is a positive or negative correlation. Examine the factors and decide if there is enough evidence to state that there is causation as well. The number of pizzas delivered to a school and the number of students in that school Correlation? (yes or no) Positive, negative, not applicable (NA) Causation? (yes or no) 51 Unit 4 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

52 Unit 4 - KEYS Weekly Assessments 52 Unit 4 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

53 Week #11 Key 1. Find the inverse of f(x) = 2x 7 2. For the group data 4, 4, 6, 10, 13, what is the relationship between the mean and median? y = x Mean = 7.4 Median = 6 The mean is 1.4 greater than the median. 3. Create a box plot for the given data. 21, 20, 5, 18, 7, 16, 8, 5, 22, 19, 12, 9, 8, 20, Unit 4 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

54 4. Find the rate of change between 1980 and 2009 of the given data. Write your answers as a full sentence. Number of dropouts (1,000) The National Data Book to 17 years = There are approximately 20 fewer dropouts per year from 1980 to Predict how much money the average household will spend on clothes in $ Unit 4 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

55 Week #12 Key 1. Emma s first test scores were 80%, 84%, 95%, and 82%. Which of the following test scores would result in the greatest difference in Emma s mean score? a. 50% b. 70% c. 85% d. 100% A 2. Your grades are graphed below. Semester 1 Grades: Semester 2 Grades: The median has changed from 86 to 78. The upper quartile has changed from _95 to 88. The lower quartile has changed from _76 to 71. What can you conclude about your grades? Can you conclude that every grade dropped? Overall the grades have dropped. I cannot conclude that every grade dropped. Maybe one went up a lot and one when down a lot and they switched places. 55 Unit 4 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

56 Number of Students 3. 6 Algebra Grades 6 4. A public opinion survey explored the relationship between age and support for increasing the minimum wage Grade In the 21 to 40 age group, what percentage supports increasing the minimum wage? What is the median grade? = 50% What is the mean grade? Unit 4 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

57 Use the graph below to answer the questions Calculate the line of best fit. y = x Unit 4 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

58 Week #13 Key 1. Which number is more precise? A feet B feet B Explain: Because the units are the same, the number of decimal places will determine which number is more precise. 2. What percent of students that studied between 2 and 4 hours earned higher than a 75% on the test? % 3. Identify the outlier in the data below. Find the mean of the population of the 7 largest cities in the United States with and without the outlier. How does the outlier change the mean? City, State Population (Millions) New York, NY 8.1 Los Angeles, CA 3.8 Chicago, IL 2.7 Houston, TX 2.1 Philadelphia, PA 1.5 Phoenix, AZ 1.4 San Antonio, TX 1.3 Outlier: New York, NY Mean Population with Outlier: 3.0 million Mean Population without Outlier: 2.1 million How does the outlier change the mean? When removing the outlier the mean decreased by 0.9 million. 58 Unit 4 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

59 4. The speed of a giraffe is 50 km/h. If the giraffe continues at the same speed, after 2 hours, how many miles has the giraffe traveled? (Hint: 1 mile = kilometers) 50 km 1 hr 1 hr 2 hr 62.1 mi km 5. Convert 12 mph to feet per second. (Hint: 5,280 feet = 1 mile) 12 mi 1 hr 1 hr 60 min 1 min 5280 ft = 17.6 ft/sec 60 sec 1 mi 6. For the following situations, decide whether or not there is a correlation and whether it is a positive or negative correlation. Examine the factors and decide if there is enough evidence to state that there is causation as well. The number of pizzas delivered to a school and the number of students in that school Correlation? (yes or no) yes Positive, negative, not applicable (NA) positive Causation? (yes or no) no 59 Unit 4 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

60 Unit 5 Weekly Assessments 60 Unit 5 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

61 Week #14 1. Solve for x. 3x + (3x 12) = x 4 2. Solve for x. 3x = ax a 3. What is the greatest possible error for a measurement of 5 inches? 4. The mean of the following data is 17. Find the value of x. 14, 22, 8, 17, 15, x 5. Given the box and whisker graph, find the following. Minimum: Maximum: Upper Quartile: Lower Quartile: Median: 6. There are 640 acres in a square mile and 5280 feet in one mile. How many square feet are there in 3 acres? 61 Unit 5 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

62 Week #15 1. Solve and graph the inequality. 6x + 5 < 10 2x 2. Your test scores for your history class so far in the class were 74%, 82%, 76%, 75%, and 80%. On the last test of the year, you studied hard and earned a 100%. How did this change your test average? 3. Solve for x. x = 4x 7 4. In the formula P = F gives the pressure for P for a A force F and an area A. Solve this formula for A. 5. Six ninth-grade students and six 12th-grade students were asked: How many movies have you seen this month? Here are their responses. Ninth-grade students: 5, 1, 2, 5, 3, 8 12th-grade students: 4, 2, 0, 2, 3, 1 a. How does the mean compare for each of these data sets. 62 Unit 5 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

63 6. Identify the outlier in the data below. Find the mean of the speed of the animals with and without the outlier. How does the outlier change the mean? Animal Speed (MPH) Peregrine Falcon Cheetah 70 Lion 50 Wildebeest 50 Elk 45 Ostrich 40 Rabbit 35 Outlier: Mean Population with Outlier: Mean Population without Outlier: How does the outlier change the mean? 63 Unit 5 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

64 Unit 5 - KEYS Weekly Assessments 64 Unit 5 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

65 Week #14 KEY 1. Solve for x. 3x + (3x 12) = x 4 2. Solve for x. 3x = ax a 6x 12 = x 4 x = 2 3x ax = 5 + a x(3 a) (3 a) = 5 + a 3 a x = 5 + a 3 a 3. What is the greatest possible error for a measurement of 5 inches?.5 feet (The greatest possible error is half of the unit of measure to which a measure is rounded.) 4. The mean of the following data is 17. Find the value of x. 14, 22, 8, 17, 15, x 76 + x 6 x = 26 = Given the box and whisker graph, find the following. Minimum: 2 Maximum: 16 Upper Quartile: 11 Lower Quartile: 4 Median: 6 6. There are 640 acres in a square mile and 5280 feet in one mile. How many square feet are there in 3 acres? 3 acres 1 mi 640 acres 5280 ft 5280 ft = 130,680 ft 2 1 mi 1 mi 65 Unit 5 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

66 Week #15 KEY 1. Solve and graph the inequality. 6x + 5 < 10 2x x < Your test scores for your history class so far in the class were 74%, 82%, 76%, 75%, and 80%. On the last test of the year, you studied hard and earned a 100%. How did this change your test average? Average 1: Average 2: The test average increased by 3.8 points. 3. Solve for x. x = 4x 7 4. In the formula P = F gives the pressure for P for a A force F and an area A. Solve this formula for A. PA = F x + 1 = 12x 21 x = 2 A = F P 5. Six ninth-grade students and six 12th-grade students were asked: How many movies have you seen this month? Here are their responses. Ninth-grade students: 5, 1, 2, 5, 3, 8 12th-grade students: 4, 2, 0, 2, 3, 1 a. How does the mean compare for each of these data sets. Ninth graders: 24 6 = 4 12 th grade students: 12 6 = 2 The ninth grade students, on average, saw two more movies last month than the 12 th graders. 66 Unit 5 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

67 6. Identify the outlier in the data below. Find the mean of the speed of the animals with and without the outlier. How does the outlier change the mean? Animal Speed (MPH) Peregrine Falcon Cheetah 70 Lion 50 Wildebeest 50 Elk 45 Ostrich 40 Rabbit 35 Outlier: Peregrine Falcon Mean Population with Outlier: 70 Mean Population without Outlier: 48.3 How does the outlier change the mean? The outlier increased the mean by 21.7 MPH. 67 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

68 Unit 6 Weekly Assessments 68 Unit 6 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

69 Week #16 1. Solve the system of equations by graphing. y = 2x 6 { y = 1 x Solve the system using substitution. x + 2y = 12 { y = 1 2 x 3 3. Solve the system using substitution. 2x 3y = 7 { y = 6x Solve and graph the inequality. 5x + 4 < 3x 6 69 Unit 6 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

70 5. Which number is the most precise? How do you know? a inches b inches 6. Solve for x. 5 (x + 4) = 11x 3 70 Unit 6 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

71 Week #17 1. Solve the system of equations by elimination. 2x + 5y = 7 { 3x 5y = 8 2. Solve the system of equations by graphing. x + 2y = 10 { y = 3 x Solve the system using substitution. { 12x + 6y = 10 y = 2 3 x 1 71 Unit 6 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

72 4. Solve and graph the inequality. 5x + 6 < 3x Solve the system of equations by elimination. { 12x + 6y = 6 3x 5y = 8 72 Unit 6 Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

73 Unit 6 - KEYS Weekly Assessments 73 Unit 6 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

74 Week #16 KEY 1. Solve the system of equations by graphing. 2. Solve the system using substitution. (4, 2) y = 2x 6 { y = 1 x x + 2y = 12 { y = 1 2 x 3 x + 2 ( 1 x 3) = 12 2 x = y = 12 y = 4.5 (3, 4.5) 3. Solve the system using substitution. 2x 3y = 7 { y = 6x Solve and graph the inequality. 5x + 4 < 3x 6 8x < 10 2x 3(6x 11) = 7 x = 2 x > 5 4 y = 6(2) 11 y = 1 (2, 1) 74 Unit 6 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

75 5. Which number is the most precise? How do you know? a inches b inches A 6. Solve for x. 5 (x + 4) = 11x 3 5 x 4 = 11x 3 1 x = 11x 3 x = Unit 6 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

76 Week #17 KEY 1. Solve the system of equations by elimination. 2x + 5y = 7 { 3x 5y = 8 5x = 15 x = 3 2(3) + 5y = 7 y = 1 5 (3, 1 5 ) 2. Solve the system of equations by graphing. x + 2y = 10 { y = 3 x (4, 3) 3. Solve the system using substitution. 12x + 6y = 10 { y = 2 3 x 1 12x + 6 ( 2 x 1) = x + 4x 6 = 10 x = y = 10 y = 1 3 (1, 1 3 ) 76 Unit 6 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers

77 24. Solve and graph the inequality. 5x + 6 < 3x Solve the system of equations by elimination. 12x + 6y = 6 { 3x 5y = 8 25x + 30 < 3x x < 22 x < 1 12x + 6y = 6 12x + 20y = 32 26y = 26 y = 1 12x + 6( 1) = 6 x = 1 (1, 1) 77 Unit 6 - KEYS Algebra 1 Weekly Assessments Part 1 of Algebra 1 Teachers