WIXLIB

Name:Class:Date:Algebra 1 Final Exam ReviewMultiple ChoiceIdentify the choice that best completes the statement or answers the question.Write an equation of the line with the given slope and y-intercept1. slope: 1, y-intercept: 104a. y 3 x 10b.y x – 10c.y x 10d.y –x 10Write a linear equation in slope-intercept form to model the situation.2. An icicle is 12 inches long and melts at a rate ofa.b.1L 12 4 tL 14 12t14inch per hour.c.L 12 4td.t 12 4 L1Beach Bike Rentals charges 5.00 plus 0.20 per mile to rent a bicycle.3. Write an equation for the total cost C of renting a bicycle and riding for m miles.a. C 5 0.2mc. m 5 0.2Cb. C 0.2 5md. C 5 2m1ID: A

Name:ID: A4. Graph the equation needed to represent the cost at Beach Bike Rentals.a.c.b.d.5. What is the cost of renting a bike and riding 18 miles?a. 3.60c. 8.60b. 41.00d. 11.60Write the point-slope form of an equation for a line that passes through the point with the given slope.6. (–1, –2), m 1a. y 2 1(x – 1)b. y – 2 1(x 1)7. (1, 2), m c.d.y 2 –(x 1)y 2 1(x 1)52a.y – 2 2 (x – 1)5c.y – 2 2 (x 1)5b.y 2 2 (x – 1)5d.y – 2 2 (x – 1)52

Name:ID: AWrite each equation in standard form.8. y – 2 –2(x – 9)a. y –2x 20b. 2x y 20c.d.2x – y 202x y 16c.d.y 2x 5y 2x 5Write the equation in slope-intercept form.9. y 3 2 (x 1 )a. y 2x 5b. y 2x 5Write the slope-intercept form of an equation of the line that passes through the given point and is parallel tothe graph of the equation.10. (–3, 5), y 5x 3a. y 10x – 5b. y 5x – 10c.d.y 5x 101y 5x– 5Write the slope-intercept form of an equation that passes through the given point and is perpendicular to thegraph of the equation.11. (5, 2), y x – 5a. y x 7b. y 3x 1c.d.y x 712y x 53

Name:ID: ADetermine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there isa positive or negative correlation, describe its meaning in the situation.12.Women in the ArmyYearSource: Time Magazine, March 24, 2003a.b.c.d.positive; as time goes on, more women are in the army.no correlationnegative; as time goes on, fewer women are in the army.negative; as time goes on, more women are in the army.13.Average Cycling Speeda.b.c.d.no correlationnegative; as time passes, speed decreasespositive; as time passes, speed increasespositive; as time passes, speed decreases4

Name:ID: A14.Video Rental Finesa.b.c.d.negative; as the number of videos rented increases, the amount of fine increases.negative; as the number of videos rented increases, the amount of fine decreases.no correlationpositive; as the number of videos rented increases, the amount of fine decreases.Solve the inequality. Graph the solution on a number line.15. k 7 4a. k 11b.k 3c.k 3d.k 11Solve the inequality.16.b 45a. b 1b. b 20c.d.b 20b 245

Name:ID: A17. 10m 50a. m 500b. m 5c.d.m 40m 518. 2h 6 8a. h 10b. h 7c.d.h 7h 1419. 4a 3 7a 15a. a 4b. a 3c.d.a 6a 420. 2(6z 9) 6(2z 4)a. all real numbersb. (No Solution)c.d. 24z 42z 42Solve the compound inequality and graph the solution set.21. u 2 1 and u 4 3a. 1 u 7b. 1 u 3c. 1 u 7d. 1 u 36

Name:ID: A22. g 9 1 or g 2 6a. g 4b.g 8c.4 g 8d.g 423. Solve d 1 6.a. d –5 or d 7b. d 7c.d.–5 d 7d –524. At a track meet, the height of John’s high jump was within 6 inches of the track record of 76 inches. What isthe range of heights for John’s jump?a. {x 70 x 82}c. {x 70 x}b. {x x 70 or x 82}d. {x x 82}25. The weather reporter said that the previous day’s temperatures varied 8 from the normal temperature of45 F. What was the possible range of temperatures on the previous day?a. {t 41 t 49}c. {t 37 t 53}b. {t t 41 or t 49}d. {t t 37 or t 53}7

Name:ID: ASolve the system of inequalities by graphing.26. y x 2y 2x 2a.c.b.d.8

Name:ID: A27. y 2x 1y x 2a.c.b.d.9

Name:ID: AUse the graph below to determine the number of solutions the system has.28. x 4y x 3a. no solutionb. onec.d.twoinfinitely manyc.d.twoinfinitely manyc.d.twoinfinitely many29. 2x 2y 6y x 3a. no solutionb. one30. 2x 2y 6y x 2a. no solutionb. one10

Name:ID: AGraph the system of equations. Then determine whether the system has no solution, one solution, or infinitelymany solutions. If the system has one solution, name it.31. y 2x 6y 2x 6a. one solution; (0, 3)c.one solution; (3, 0)b.d.infinitely manyno solutionUse substitution to solve the system of equations.32. y x 102x 3y 0a. (0, 10)b. (–30, –20)c.d.(–20, –30)(30, 40)11

Name:ID: A33. 2 x 2y x 8 ya. infinitely many solutionsb. (14, 6)c.d.(–2, –2)(–10, –6)34. The sum of two numbers is 90. Their difference is 12. What are the numbers?a. no solutionc. 35 and 47b. 31 and 59d. 39 and 5135. Joji earns 3 times as much as Masao. If Joji and Masao earn 4500.00 together, how much money does Masaoearn?a. 1125.00c. 1500.00b. 3375.00d. 1000.0036. Dakota’s math test grade was 7 points less than his science test grade. The sum of the grades was 183%. Whatdid Dakota get on his math test?a. 83%c. 93%b. 88%d. 95%Use elimination to solve the system of equations.37. 2x 6y 104x 6y 2a. (4, –3)b. (2, –1)c.d.(–4, 3)(–2, 1)c.d.(–24, 8)(–4, 0)c.d.(45, 20)(5, 0)c.d.(–2, –8)(2, 8)c.d.(4, 7)(–4, –7)38. 2x 5y 82x 7y 8a. (4, 0)b. (24, –8)39. 2x 5y 10 2x 4y 10a. (–5, 0)b. (–45, –20)40. 7x 3y 109x 3y 6a. (1, 1)b. (–1, –1)41. 6x 2y 10 10x 6y 2a. (–1, –2)b. (–2, –1)12

Name:ID: A42. 4x 2y 4 9x 3y 6a. (0, –2)b. (–10, –4)c.d.(0, 2)(–4, –10)43. The cost of 3 large candles and 5 small candles is 6.40. The cost of 4 large candles and 6 small candles is 7.50. Which pair of equations can be used to determine, t, the cost of a large candle, and s, the cost of asmall candle?a. 3t 5s 6.4c. 3t 5s 6.44t 6s 7.5t s 6.4b.d.4t 6s 7.5t s 7.55t 3s 6.46t 4s 7.5Determine the best method to solve the system of equations. Then solve the system.44. 7x 2y 85x 2y 4a. elimination using subtraction; (2, 3) 1b. elimination using addition; (, 1)2c. elimination using subtraction; ( 3, 2) 1d. elimination using addition; (1,)245. x 2y 13x 3y 9a. substitution; (7, 4)b. elimination using multiplication; (3, 2)c. substitution; (4, 7)d. elimination using multiplication; ( 21, 10)46. Sam’s test score is 12.5 more than Nicole’s score. The sum of twice Sam’s score and three times Nicole’sscore is 195. What are Sam and Nicole’s test scores?a. Sam’s score: 46.5; Nicole’s score: 59b. Sam’s score: 21.5; Nicole’s score: 34c. Sam’s score: 34; Nicole’s score: 46.5d. Sam’s score: 46.5; Nicole’s score: 34Simplify. Assume that no denominator is equal to zero.555347. (a b )(a b )a.b.98a b6 8a bc.d.915a b6 15a b13

Name:3ID: A4 348. (4g h )49.9a.125g hb.15g h363381(2a b)24ba.b.51.7d.15g h12c.d.3 839829ac.112b61 3n 2a93b19d.3b2mn pa b316 38b.64a20ma.125g h3550.7c.113a.b.1210n pm410n843m p34c.d.10n pm210m483n p3Express the number in scientific notation.52. 0.00241 4a. 24.1 10 5b. 241.0 10 3c.d.2.41 10 20.241 10c.d.0.352 10 43.52 10 653. 352 10 5a. 35.2 10 8b. 3.52 10 3Express the number in the statement in standard notation.554. In 2001, the United States Postal Service employed 7.76 10 people.a. 77,600c. 7,760,000b. 776,000d. 77,600,00014

Name:ID: AEvaluate. Express the result in scientific notation.3555. (7.5 10 )(5 10 )a.b.56.83.7 10737 1042 104 10a.b.9c.d.0.37 1063.7 10c.d.0.105 1091.05 105 371.05 10810.5 101510

1 Algebra 1 Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. Write an equation of the line with the given slope and y-intercept 1. slope: 1, y-intercept: 10 a. y 4 3 x 10 c. y x 10 b. y x - 10 d. y -x 10 Write a linear equation in slope-intercept form to model .