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Name:Class:Date:ID: AAlgebra EOC Practice Test #3Multiple ChoiceIdentify the choice that best completes the statement or answers the question. 21. Write the monomial4x y3y 3without the use of negative exponents.2a.b.4x y3y34y43x2c.d.4y33x224x y42. A company distributes its product by train and by truck. The cost of distributing by train can be2modeled as 0.09x 34x 100, and the cost of distributing by trucks can be modeled as2 0.04x 22x 175, where x is the number of tons of product distributed. Write a polynomial thatrepresents the difference between the cost of distributing by train and the cost of distributing bytrucks.22a. 0.05x 56x 275c. 0.05x 12x 7522b. 0.13x 12x 275d. 0.05x 12x 2753. Find the slope of the line that contains ÊÁË 1, 6 ˆ and ÊÁË 1, 9 ˆ .a. slope 0c. slope 15b. slope 1d. slope is undefined4. A video store charges a monthly membership fee of 7.50, but the charge to rent each movie is only 1.00 per movie. Another store has no membership fee, but it costs 2.50 to rent each movie. Theequation below represents this situation where m is the number of movies rented each month.7.50 1.00m 2.50mWhich of the following is the number of movies that need to be rented each month for the total feesto be the same from either store?a.b.3 movies5 moviesc.d.17 movies9 movies

Name:ID: A5. Jane is in debt. She owes her brother money and has nothing in her piggy bank. She decides to work odd jobs for herfamily and neighbors to build her savings back up. The graph below represents Jane’s situation.What is the equation of this linear function? What does the slope represent?a.b.c.d. 3x 2; The slope of 3 means Jane will be earning 3 every day.3x 2; The slope of 3 means it will take Jane 3 days to earn a dollar. 3x 2; The slope of -2 means Jane was 2 in debt to her brother.x 2; The slope of 1 means Jane will be earning 1 every day.26. Factor x 6x 8.a.b.yyyy(x 1)(x 8)(x 2)(x 4)c.d.(x 1)(x 5)(x 2)(x 4)27. Use the graph to find the solutions of x 2x 3 0.a.b. 1 and 3 1 and 3c.d.21 and 31 and 3

Name:ID: A8. The scatter plot shows the relationship between the weekly total sales ( ) and the number of different minutes of TVadvertising the store purchased. Based on this relationship, use the line of best fit to predict what the total sales will bewhen the store has paid for 150 minutes of advertising.a.b.c.d. 35,000 38,000 40,000 42,0009. Which of the following is the equation of the line that has x-intercept 7 and y-intercept 2 ?a.b.2x 7y 142x 7y 14c.d.2x 7y 142x 7y 14c.d.2(x 4)cannot be factoredc.d.y 5y 5210. Factor x 16.a.b.2(x 4)(x 4)(x 4)11. Solve 2y 10.a. y 5b. y 512. The values in the table show a linear relationship. Find the slope.xy6481011191531a.3c.13b. 3d. 313

Name:ID: A13. Latisha is on page 30 of her book and reads 3 pages every night. Sal is on page 40 of the same bookand reads 2 pages every night. How long will it take Latisha to be further in the book than Sal?a. 3 nightsc. 15 nightsb. 11 nightsd. 71 nights214. Which product results in x 10x 25?a.(x 5)b.(x 5)2215. Graph the line with the slope32c.(x 5)(x 5)d.(x 5)(2x 5)and y-intercept 1.a.c.b.d.4

Name:ID: A16. U is the set of integers. G is the set of negative integers. What is the complement of set G in universeU?a.b.natural numberswhole numbersc.d.positive integers{0}17. A patio will be built in the shape of a trapezoid. The bases of the trapezoid will measure 14.5 ft and22.5 ft. What is the minimum height of the trapezoid if the patio is to have an area of no less than259 sq ft?a. 3.5 ftc. 14 ftb. 7 ftd. 18.5 ft18. Simplify the quotient152.a.152c.7.5b.302d.23019. Factor 5(x 2) 9x(x 2).a. 45x(x 2)b. (x 2)(9x 5)c.d.(5 9x)(x 2)(x 2)(x 2)(5 9x)c.d.D: 2 x 6 ; R: 4 y 7D: 1 x 7 ; R: 1 y 620. Give the domain and range of the relation.a.b.D: 0 x 7 ; R: 1 y 7D: 1 x 6 ; R: 1 y 75

Name:ID: A6 321. Simplify (x ) .a.xb.x2322. Given f(x) 3 x with domain D:ÏÔ Ôa. R: ÔÌ 5, 4, 0, 1, 2 Ô Ó ÏÔ Ôb. R: ÔÌ 5, 4, 0, 2, 1 Ô Ó c.xd.x918ÏÔ ÔÔÌÓ 2, 1, 0, 1, 2 Ô . What is the range, R?ÏÔ Ôc. R: ÔÌ 1, 2, 3, 4, 5 Ô Ó ÏÔ Ôd. R: ÔÌ 1, 2, 3, 1, 2 Ô Ó 23. Use the zero product property to solve the equation (x 3) (x 2) 4.a. The solutions are 2 and –1.c. The solutions are 3 and –2.b. The solutions are –3 and 2.d. The solutions are –2 and 1.24. There are 2 lifeguards for every 34 people at a beach. How many people are there per lifeguard?a. 16 peoplec. 32 peopleb. 17 peopled. 18 people25. Isabel reads 12 books from the library each month for m months in a row. Each month her sister,Emma, reads 1 as many books as Isabel reads. Together they have read 108 books. The following2equation represents this situation where m is the number of months that the girls have read.12m 1(12m) 1082Which of the following is the number of months it took Isabel and Emma to read 108 books?a. 2 monthsc. 6 monthsb. 3 monthsd. 12 months26. Determine whether the pairing is a function. If it is a function, describe the rule that relates the inputvalue to the output value.inputoutput721051611a.The pairing is not a function.b.The pairing is a function. The rule is“subtract 3 from the input value.”22173126The pairing is a function. The rule is“input value multiplied by 5.”d. The pairing is a function. The rule is“subtract 5 from the input value.”c.6

Name:ID: A27. Jennifer is a car saleswoman. She is paid a salary of 2000 per month plus 300 for each car that shesells. Her monthly salary can be modeled by the equation f(x) 300x 2000 where x is the numberof cars sold. Which of the following is a graph that represents this situation?a.c.b.d.7

Name:ID: A28. 30 people were asked if they wore a blue shirt or a red shirt this week. The Venn diagram shows theresults of the survey.How many people wore a blue shirt, but not a red shirt, this week?a.b.47c.d.8812

Name:ID: A29. The height of a soccer ball that is kicked from the ground can be approximated by the function2y 16x 48x, where y is the height of the soccer ball in feet x seconds after it is kicked. Graphthis function. Find the time it takes the soccer ball to reach its maximum height, the soccer ball’smaximum height, and the time it takes the soccer ball to return to the ground.a.c.It takes the ball 36 seconds to reachits maximum height. The ball’smaximum height is 3 feet. It takes theball 36 seconds to return to theground.b.It takes the ball 1.5 seconds to reachits maximum height. The ball’smaximum height is 36 feet. It takes theball 1.5 seconds to return to theground.d.It takes the ball 1.5 seconds to reachits maximum height. The ball’smaximum height is 36 feet. It takes theball 3 seconds to return to the ground.It takes the ball 3 seconds to reach itsmaximum height. The ball’s maximumheight is 36 feet. It takes the ball 3seconds to return to the ground.9

Name:ID: A1 bh for b.230. Solve A a.b 2A hc.b 2hab.b 2Ahd.b 2h a231. Divide: (10y 6y) (2y)a.5 3yc.25y 3yb.5y 3d.5 3y32. Which inequality is shown by the graph below?a.b. 2 w 3 2 w 3c.d.w 3 and w 2 2 w 333. Solve y mx b for m.a.m b.m y bxxy bc.d.m y bxm y bx34. Write an equation for the line that contains the point (-1, 2) and is perpendicular to the line y 3 .a.b.x y 1x y 1c.d.y 2x 135. Which of the following is the solution to the inequality?x 4 6(x 2)a.b.x 2x 2c.d.10x 1.6x 1.6

Name:ID: A36. The check for Kelli’s breakfast is 5.74. Which is the best estimate of a 20% tip?a. 0.50c. 1.00b. 0.60d. 1.2037. Multiply (x 2)(x 3).a.b.2x 62x 5x 6c.2x 5d.2x 638. A 30-foot pole is stabilized by a wire attached to the ground 10 feet from the base of the pole. Howlong is the wire? Give your answer as a radical expression in simplest form.a.b.225 ft10 ft1 x w 0 for y.2y 1 x 1 w631y x 1 w6310d. 20c.10 ft2 ft39. Solve 3y a.b.y 1 x 2 w533d. y x 6w2c.40. Which of the following relations is a function?a.b.c.d.{(1, 0),(1, -1),(2, 0),(2, -1),(3, 0),(3, -1)}{(1, 3),(-1, 5),(2, 7),(-2, 7),(3, 5),(-3, 3)}{(-2, -1),(1, -2),(0, 0),(-1, -1),(-2, -2)}{(0, 3),(1, 3),(-3, 3),(1, 2),(-3, 2),(1, 3)}11

Name:ID: A41. A clothing manufacturer needs 2.4 yards of fabric to make a jacket and 1.6 yards of fabric to make a matching skirt. Thenumber of jackets, x, and skirts, y, that can be made from a 48-yard bolt of fabric can be represented by the equation 2.4x 1.6y 48. Graph the function and find its intercepts. What does each intercept represent?a.c.The x-intercept is (16, 0). The x-interceptgives the total number of skirts that can bemade from one bolt of fabric when only skirtsare made.The x-intercept is (0, 20). The x-interceptgives the total number of skirts that can bemade from one bolt of fabric when only skirtsare made.The y-intercept is (0, 24). The y-interceptgives the total number of jackets that can bemade from one bolt of fabric when onlyjackets are made.The y-intercept is (30, 0). The y-interceptgives the total number of jackets that can bemade from one bolt of fabric when onlyjackets are made.b.d.The x-intercept is (48, 0). The x-interceptgives the total number of jackets that can bemade from one bolt of fabric when onlyjackets are made.The x-intercept is (20, 0). The x-interceptgives the total number of jackets that can bemade from one bolt of fabric when onlyjackets are made.The y-intercept is (0, 48). The y-interceptgives the total number of skirts that can bemade from one bolt of fabric when only skirtsare made.The y-intercept is (0, 30). The y-interceptgives the total number of skirts that can bemade from one bolt of fabric when only skirtsare made.12

Name:ID: AÏÔÔÔÔ 3x y 742. Solve ÔÌÔ.ÔÔÔÓ 2x y 5a. ( 9, 2)b. ( 2, 9)c.d.( 1, 2)(2, 1)43. Solve a 7 2a 8.a. 3c.5d.15b. 1344. Write an equation in slope-intercept form for the line that passes through (4, 4) and has a x-interceptof 3.a.b.y 4x 31y x 124c.y 4x 12d.y 4x 1245. Graph x 2y 2 for the domain D: {–4, –2, 0, 2, 4}.a.c.b.d.13

Name:46. Simplifya.b.3ID: A300 .4910737c.1037d.307c.d.x-intercept: –4, y-intercept: –6x-intercept: –6, y-intercept: –447. Find the x- and y-intercepts.a.b.x-intercept: –6, y-intercept: 4x-intercept: 6, y-intercept: –448. A bakery has an order to make 100 cupcakes. The workers can frost and decorate 3 cupcakes perminute. Let x be the number of minutes the workers have been working. Write an inequality thatsays the number of cupcakes remaining to be decorated is less than 20.a. 3x 100 20c. 100 3x 20b. 100 3x 20d. 100 3x 2049. Which system has an infinite number of solutions?a.b.ÏÔÔÔÔÔ x 2 yÌÔÔÔÔ 4 2y xÓÏÔÔÔÔÔ 2y 6 4xÌÔÔÔÔ 3 y 2xÓc.d.14ÏÔÔÔÔÔ y 3 2xÌÔÔÔÔ 4x 2y 3ÓÏÔÔÔÔÔ y 2x 5ÌÔÔÔÔ 2 y 2xÓ

Name:ID: A2 6.8m122450. Solvea.b.c.d.364851. Let A {a, b, d, f} and B be a sets in the universe U {letters of the alphabet}. If A B {a, b, d, e,f, g}, which could be set B?a.b.B {e, f, g, h}B {a, b, d, f, g, h}52. Simplifya.ab.ab.B {e, f, g, 4, 9}B {e, f, g}c.ad.ac.d.3a 4a 5a32 10a 15a ac.d.x 2 or x 6x 3 or x 48a .2a4653. Divide (15aa.c.d.343 20a 5a21016) by 5a .210a 15a a32 3a 4a a42254. Solve x 12 4x by factoring.a.b.x 2 or x 6x 3 or x 415

Name:ID: A55. A survey of 16 people were asked if they like tacos or pizza. The results of the survey are illustratedin the Venn diagram.How many people surveyed do not like pizza?a.2b.4c.165d.11

ID: AAlgebra EOC Practice Test #3Answer SectionMULTIPLE MA.912.A.2.3

ID: .4.1MA.912.A.4.4MA.912.A.7.2MA.912.D.7.2

Algebra EOC Practice Test #3 Multiple Choice Identify the choice that best completes the statement or answers the question. _ 1. Write the monomial 4x 2 y 3y 3 without the use of negative exponents. a. 4x2 y 3y3 c. 4y3 3x2 b. 4y4 3x2 d. 4x2 y4 _ 2. A company distributes its produ