This is a review packet for the entire fall semester of Algebra I at Harrison.

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1 HARRISON HIGH SCHOOL ALGEBRA I Fall Semester Review Packet This is a review packet for the entire fall semester of Algebra I at Harrison. You are receiving it now so that: you will have plenty of time to complete it, and you will have plenty of practice working multiple choice items similar to the final exam and Algebra ECA. It is not expected that you complete the entire packet in the next day or two. Rather, you are encouraged to work it a little bit at a time. Don t be afraid to go back and look at your In-Class Work, the textbook, your homework, old quizzes, and/or the online videos for help or assistance. If you finish your In-Class Work early during a class meeting, it is expected that you will use your remaining class time to work on this review packet. The items that are highlighted in gray (like this) do not need to be completed they do not address Algebra I standards according to the Indiana Algebra I curriculum. (Exceptional students would be well served to try these exercises anyway.) You will perform all of your scratch work on separate paper. You will turn in this work when you hand in the packet. The packet will not be accepted until the week before the final exam at the earliest (December 8-12). (You will need to be sure not to lose this packet. If you do lose it, you can print another copy from the class website.) This will be given a significant grade as a formative assessment. Don t choose to blow this off!

2 Chapter 1 Test, Form 1 Write the letter for the correct answer in the blank at the right of each question. 1. Write an algebraic expression for the sum of a number and 8. A 8x B x 8 C x + 8 D x 8 2. Write an algebraic expression for 27 decreased by a number. F 27 + m G 27 m H m 27 J 27 m SCORE Write a verbal expression for 19a. A the sum of 19 and a number B the difference of 19 and a number 4. Write a verbal expression for x + y. F the sum of x and y G the quotient of x and y C the quotient of 19 and a number D the product of 19 and a number H the difference of x and y J the product of x and y Evaluate 6(8 3). A 45 B 30 C 11 D Evaluate 2k + m if k = 11 and m = 5. F 32 G 216 H 27 J Name the property used in n + 0 = 7. A Multiplicative Inverse Property B Substitution Property C Additive Identity Property D Multiplicative Identity Property Evaluate F 2184 G 29 H 20 J Simplify 7b + 2b + 3c. A 12bc B 9b + 3c C 7b + 5c D 5b + 3c 10. Simplify 5(2g + 3). F 10g + 3 G 7g + 3 H 10g + 15 J 7g Evaluate A 100 B 0 C 8 D Which of the following uses the Distributive Property to determine the product 12(185)? F 12(100) + 12(13) H 12(18) + 12(5) G 12(1) + 12(8) + 12(5) J 12(100) + 12(80) + 12(5) 13. Find the solution of x + 4 = 7 if the replacement set is {1, 2, 3, 4, 5}. A 1 B 3 C 4 D A car rental company charges a rental fee of $20 per day in addition to a charge of $0.30 per mile driven. How much does it cost to rent a car for a day and drive it 25 miles? F $45.30 G $20.30 H $27.50 J $ Chapter 3 61 Glencoe Algebra 1

3 Chapter 1 Test, Form 1 (continued) 15. Which statement best describes the graph of the price of one share of a company s stock shown at the right? A The price increased more in the morning than in the afternoon. B The price decreased more in the morning than in the afternoon. C The price increased more in the afternoon than in the morning. D The price decreased more in the afternoon than in the morning. 16. What is the domain of the relation? F { 1, 0, 1, 3} H { 2, 1, 0, 1, 2, 3} G { 2, 0, 1, 3} J {0, 1, 2, 3} Determine which relation is a function. A C x y B y = 1 x + 2 D {(3, 0), ( 2, 2), (7, 2), ( 2, 0)} If h(r) = 2 r 6, what is the value of h( 9)? 3 F 12 G 0 H J 12 For Questions 19 and 20, use the graph. 19. Interpret the y-intercept of the graph. A All those polled used a social networking site 8 months after February B About 8% of those polled used a social networking site in February C No one used a social networking site in February D There were 8 social networking sites in February Interpret the end behavior of the function in terms of social networking. F expected to decrease H expected to level off at 55% G expected to increase J expected to level off at 8% Bonus Simplify (4x + 2)3. B: Chapter 1 62 Glencoe Algebra 1

4 Chapter 2 Test, Form 1 SCORE Write the letter for the correct answer in the blank at the right of each question. 1. Translate the following sentence into an equation. Twice a number m minus three equals the sum of m and five. A 2(m 3) = m + 5 B 2m 3 = m + 5 C 2m 3 = 5m D 2(m 3) = 5m Translate the following equation into a verbal sentence. x + 5 = 2(7 + x) F The quotient of x and five is two times seven plus x. G The number x plus five is two times the sum of seven and x. H The number x plus five is two times seven plus x. J The product of x and five is the sum of two times seven and x Solve y 18 = 3. A 21 B 21 C 15 D Solve 5n = 35. F 30 G 7 H 40 J Solve 3 5 x = 15. A 9 B 5 C 25 D Solve 2t + 1 = 3. F 1 G 1 H 2 J A number is added to 9. The result is then multiplied by 4 to give a new result of 120. What is the number? A 21 B 39 C 489 D 4(n + 9) Evaluate 2b if b = 1. F 2 G 2 H 4 J Solve c 5 = 7. A Ø B { 4, 4} C { 4, 6} D { 2, 12} Which ratio forms a proportion with 7 F 4 9 G 5 12 H ? J Chapter 2 67 Glencoe Algebra 1

5 Chapter 2 Test, Form 1 (continued) 11. Solve the proportion 2 7 = x 42. A 1 2 B 12 C 2 7 D Solve 3t 6 = t 2. F 2 G 4 H 2 J Solve 4(t + 1) = 6t 1. A 2 1 B 1 C 0 D Solve 5(g 2) + g = 6(g 4). F all numbers G 0 H 2 J Ø Solve ax 5 = b for a. A x(b + 5) B b 5 x C b + 5 x D x(b 5) Find the percent of change. original: 10 new: 12 F 12% G 25% H 20% J 18% 17. A baseball costs $4.00. If the sales tax is 5%, what is the total price? A $3.80 B $4.20 C $4.05 D $ How many liters of pure acid must be added to 3 liters of a 50% acid solution to obtain a 75% acid solution? F 1 L G 4.5 L H 1.5 L J 3 L 19. Joe and Janna leave home at the same time, traveling in opposite directions. Joe drives 45 miles per hour and Janna drives 40 miles per hour. In how many hours will they be 510 miles apart? A 7 hours B 6 hours C 5 hours D 4 hours 20. TEMPERATURE In Death Valley, California, the highest ground temperature recorded was 94 C on July 15, In the formula C = 5 (F 32), C represents the temperature in degrees Celsius and F 9 represents the temperature in degrees Fahrenheit. To the nearest degree, what is the highest ground temperature in Death Valley in Fahrenheit? F 201 F G 84 F H 34 F J 137 F Bonus A concrete mixture is made with 3 parts water and 5 parts cement. If 27 parts of water are being used in the current batch of concrete, how many parts of cement are being used? B: Chapter 3 68 Glencoe Algebra 1

6 Chapter 3 Test, Form 1 SCORE Write the letter for the correct answer in the blank at the right of each question. 1. Where does the graph of y = 3x 18 intersect the x-axis? A (0, 6) B (0, 6) C (6, 0) D ( 6, 0) 2. Tickets to see a movie cost $5 for children and $8 for adults. The equation 5x + 8y = 80 represents the number of children (x) and adults (y) who can see the movie with $80. If no adults see the movie, how many children can see the movie with $80? F 6 G 10 H 13 J For Questions 3-5, find the slope of each line described. 3. the line through (3, 7) and ( 1, 4) A 4 B C 11 2 D the line through ( 3, 2) and (6, 2) F 4 G H 0 J undefined a vertical line A 1 B 0 C 1 D undefined Which graph has a slope of 3? F G H J COMMUNICATION In 1996, there were 171 area codes in the United States. In 2007, there were 215. Find the rate of change from 1996 to A 44 B 4 C 1 D For Questions 8 and 9, use the arithmetic sequence 12, 15, 18, 21, Which is an equation for the nth term of the sequence? F a n = 3n + 9 H a n = 12n + 3 G a n = 9n + 3 J a n = n What is the 12th term in the sequence? A 38 B 42 C 45 D Chapter 3 49 Glencoe Algebra 1

7 Chapter 3 Test, Form 1 (continued) 10. Suppose y varies directly as x, and y = 26 when x = 8. Find x when y = 65. F 3.25 G 20 H 47 J For Questions 11 and 12, use the graph shown. 11. Which line has an y-intercept of 2? A l C t B p D both l and t 12. Which line is the graph of y = 2x + 4? F l H the x-axis G p J t 13. Which arithmetic sequence has a proportional related function? A 4, 1, 2,... B 0, 2, 4,... C 1, 2, 3,... D 1 2, 0, 1 2, Write y + 1 = 2x 3 in standard form. F 2x + y = 4 G y = 2x 4 H 2x y = 4 J x y = Find the root of 5x 20 = 0. A 20 B 0 C 4 D Determine which sequence is an arithmetic sequence. F 3, 6, 12, 24,... H 7, 3, 1, 5,... G 1, 1, 1, J 10, 5, 5, 5, Find the next three terms of the arithmetic sequence 5, 9, 13, 17,... A 21, 23, 25 B 21, 25, 29 C 41, 45, 49 D 21, 41, Find the function that represents the relationship. F y = 8x H y = 14x + 8 G y = 8x + 14 J y = 14x + 14 x y Which equation is a linear equation? A 4m 2 = 6 C 2 3 xy 3 4 y = 0 B 3a + 5b = 3 D x 2 + y 2 = Write an equation in function notation for the relation at the right. F f(x) = 2x H f(x) = 1 x G f(x) = x + 1 J f(x) = x Bonus Graph y = x 3 by using the x- and y-intercepts. B: Chapter 3 50 Glencoe Algebra 1

8 Chapter 4 Test, Form 1 SCORE Write the letter for the correct answer in the blank at the right of each question. For Questions 1-5, find the equation in slope-intercept form that describes each line. 1. a line with slope 2 and y-intercept 4 A y = 2x B y = 4x 2 C y = 2x + 4 D y = 2x 4 2. a line through (2, 4) with slope 0 F y = 2 G x = 2 H y = 4 J x = a line through (4, 2) with slope 1 2 A y = 1 2 x B y = 1 2 x 4 C y = 2x 10 D y = 1 2 x a line through ( 1, 1) and (2, 3) F y = 2 x + 5 G y = 2 x + 5 H y = 2 x the line graphed at the right A y = 2 3 x 1 C y = 2 3 x B y = 3 2 x 1 D y = 3 2 x J y = 2 3 x If 5 deli sandwiches cost $29.75, how much will 8 sandwiches cost? F $37.75 G $29.75 H $47.60 J $ What is the standard form of y 8 = 2(x + 3)? A 2x + y = 14 B y = 2x + 14 C 2x y = 14 D y 2x = Which is the graph of 3x 4y = 6? F G H J Which is the point-slope form of an equation for the line that passes through (0, 5) with slope 2? A y = 2x 5 B y + 5 = 2x C y 5 = x 2 D y = 2(x + 5) 10. What is the slope-intercept form of y + 6 = 2(x + 2)? F y = 2x 6 G y = 2x 2 H y = 2x + 6 J 2x y = When are two lines parallel? A when the slopes are opposite B when the slopes are equal C when the slopes are positive D when the product of the slopes is Chapter 4 55 Glencoe Algebra 1

9 Chapter 4 Test, Form 1 (continued) 12. Find the slope-intercept form of an equation for the line that passes through ( 1, 2) and is parallel to y = 2x 3. F y = 2x + 4 G y = 0.5x + 4 H y = 2x + 3 J y = 0.5x Find the slope-intercept form of an equation of the line perpendicular to the graph of x 3y = 5 and passing through (0, 6). A y = 1 3 x 2 B y = 3x + 6 C y = 1 3 x + 2 D y = 3x 6 For Questions 14 and 15, use the scatter plot shown. 14. How would you describe the relationship between the x- and y-values in the scatter plot? F strong negative correlation G weak negative correlation H weak positive correlation J strong positive correlation 15. Based on the data in the scatter plot, what would you expect the y-value to be for x = 2020? A greater than 80 C between 65 and 50 B between 80 and 65 D less than Which equation has a slope of 2 and a y-intercept of -5? F y = 5x + 2 G y = 5x + 2 H y = 2x + 5 J y = 2x Which correlation coefficient corresponds to the best-fit line that most closely models its set of data? A 0.84 B 0.13 C 0.87 D The table below shows Mia s bowling score each week she participated in a bowling league. Week Score Use the median-fit line to estimate Mia s score for week 16. F 173 G 180 H 182 J If f(x) = 6x + 3, find f 1 (x). A f 1 (x) = 6x 3 B f 1 (x) = x 6 3 C f 1 (x) = x 3 D f 1 (x) = 3 6x If f(x) = 4(3x 5), find f 1 (x). F f 1 (x) = x H f 1 (x) = x G f 1 (x) = x J f 1 (x) = x Bonus Find the value of r in (4, r), (r, 2) so that the slope of the line containing them is 5 3. B: Chapter 4 56 Glencoe Algebra 1

10 Chapter 5 Test, Form 1 SCORE Write the letter for the correct answer in the blank at the right of each question. For Questions 1 7, solve each inequality. 1. x 7 > 3 A {x x > 10} B {x x > 4} C {x x < 10} D {x x < 4} 2. 3 t + 1 F {t t 4} G {t t 2} H {t t 2} J {t t 4} 3. 1 y 4 A {y y 1 } 4 B {y y 4} C {y y 4} D {y y 3} 4. 5m < 25 F {m m < 125} G {m m < 125} H {m m > 5} J {m m < 5} t A {t t 12} B {t t 12} C {t t 12} D {t t 12} 6. 6y 8 > 4y + 26 F {y y > 9} G {y y > 17} H {y y > 9} J {y y > 17} 7. 3(2d 1) 4(2d 3) 3 A {d d 9} B {d d 6} C {d d 3} D {d d 6} 8. Six is at least four more than a number. Which inequality represents this sentence? F 6 n + 4 G 6 n + 4 H 4 n + 6 J 4 n More than eighteen students in an algebra class pass the first test. This is about threefifths of the class. How many students are in the class? A less than 30 Bless than 25 C more than 30 D Phillip has between two hundred and three hundred baseball cards. Which inequality represents this situation? F 200 < p < 300 H p < 300 or p < 200 G 200 > p > 300 J p < 200 and p > Which of the following is the graph of the solution set of m > 1 and m 1? A C B D Which compound inequality has the solution set shown in the graph? F x < 1 or x > 3 H x > 1 or x 3 G x > 1 or x < 3 J x 1 or x Chapter 5 49 Glencoe Algebra 1

11 Chapter 5 Test, Form 1 (continued) 13. Which of the following is the solution set of 2a + 1 > 9 or a < 1? A {a a < 1 or a > 4} C {a 1 a 4} B {a a 1 or a 4} D {a a < 1 or a > 5} Which inequality corresponds to the graph shown? F x 3 1 H x 3 1 G x 1 3 J x Solve x 3 < 2. A {x 1 < x < 5} C {x 1 < x < 1} B {x 5 < x < 1} D {x 1 < x < 5} Which inequality has the solution set shown in the graph? F y < 1 H y > 1 G y 1 J y Which inequality has the solution set shown in the graph? A y < x + 2 C y < x + 1 B y > x + 2 D y > x Determine which of the ordered pairs are a part of the solution set for the inequality graphed at the right. F (2, 1) H ( 3, 3) G (1, 3) J ( 2, 3) Which inequality has a solution set of {x x > 3 or x < 3}? A 2x > 6 C 2x 6 B 2x < 6 D 2x Juan s income y consists of at least $37,500 salary plus 5% commission on all of his sales x. Which inequality represents Juan s income in one year? F y 37, x H y 37, x G y x (37,500) J y 37, Bonus If x < 0, which integer does not satisfy the inequality x + 2 < 1? B: Chapter 5 50 Glencoe Algebra 1

12 Chapter 6 Test, Form 1 SCORE Write the letter for the correct answer in the blank at the right of each question. Use the graph for Questions The ordered pair (3, 2) is the solution of which system of equations? A y = 1 3 x + 3 C y = 1 3 x + 3 y = 3x + 2 y = 2x 4 B y = 1 3 x + 3 D y = 3x + 2 y = 2x y = 2x 4 For Questions 2-4, find how many solutions exist for each system of equations. F no solution G infinitely many solutions H one solution J cannot be determined 2. y = 2x 3. y = 2x 4. y = 3x + 2 y = 2x 4 y 2x = 0 y = 2x 5. When solving the system of equations, which expression r = 4 t could be substituted for r in the second equation? 3r + 2t = 15 A 4 t B 4 r C t 4 D 4 t 6. If x = 2 and 3x + y = 5, what is the value of y? F 0 G 1 H 11 J Use substitution to solve the system n = 3m 11 of equations. 2m + 3n = 0 A ( 2, 3) B ( 3, 2) C (3, 2) D (2, 3) 8. Use elimination to solve the system x y = 5 of equations. x + y = 3 F (4, 1) G (4, 1) H ( 4, 1) J ( 4, 1) 9. Use elimination to solve the system x + 6y = 10 of equations. x + 5y = 9 A (1, 4) B (4, 1) C ( 1, 4) D ( 4, 1) 10. Use elimination to find the value of x in 2x + 2y = 10 the solution for the system of equations. 2x 3y = 5 F 1 G 10 H 4 J To eliminate the variable y in the system of equations, 6x + 4y = 22 multiply the second equation by which number? 2x y = 1 A 3 B 9 C 22 D Chapter 6 51 Glencoe Algebra 1

13 Chapter 6 Test, Form 1 (continued) For Questions 12 and 13, determine the best method to solve the system of equations. A substitution B elimination using addition C elimination using subtraction D elimination using multiplication 12. 5x 2y = y = 3x x + 2y = 8 2x + y = The length of a rectangle is three times the width. The sum of the length and the width is 24 inches. What is the length of the rectangle? F 3 inches G 6 inches H 9 inches J 18 inches An airport shuttle company owns sedans that have a maximum capacity of 3 passengers and vans that have a maximum capacity of 8 passengers. Their 12 vehicles have a combined maximum capacity of 61 passengers. How many vans does the company own? A 5 B 8 C 12 D For Questions 16 and 17, use the graph. 16. What is a solution to the system of inequalities? A (0, 2) C (1, 1) B (0, 0) D (2, 4) What system of inequalities is represented? F y < x + 2 G y > x + 2 H y > x + 2 J y < x + 2 y x + 1 y x + 1 y x + 1 y x Bonus Determine the best method to solve x 3y = 0 the system of equations. Then solve 2x 7y = 0 the system. B. Chapter 6 52 Glencoe Algebra 1