Benchmark Test : Algebra 1

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Benchmark Test : Algebra 1NameClass/Grade1DateBenchmark: MA.912.A.4.1Which of the following expressions is equivalentto (6x3y6)2 ?A 6x6y12B 12x6y12C 36x5y8D 36x6y12 1999-2011 Progress TestingPage 1

Benchmark Test : Algebra 12Benchmark: MA.912.A.3.8Which graph correctly shows the slope32?ACBD 1999-2011 Progress TestingPage 2

Benchmark Test : Algebra 13Benchmark: MA.912.A.3.144What is the value of the y-coordinate of thesolution to the system of equations x 2y 1and x 4y 7?A1B1C3D4 1999-2011 Progress TestingBenchmark: MA.912.A.3.1Solve this equation.3x - 610Page 3A x625B x185C x11D x312x15

Benchmark Test : Algebra 15Benchmark: MA.912.A.3.9The graph of line l is shown below.What is the slope of line l?A73B37C37D73 1999-2011 Progress TestingPage 4

Benchmark Test : Algebra 16Benchmark: MA.912.A.7.1The graph of which equation has an axis ofsymmetry of x 4?A1 2x24x10B1 2x24x10C 2x28x10D 2x28x10 1999-2011 Progress TestingPage 5

Benchmark Test : Algebra 17Benchmark: MA.912.A.2.3Which graph represents a linear function?ACBD 1999-2011 Progress TestingPage 6

Benchmark Test : Algebra 18Benchmark: MA.912.A.3.411Which statement is equivalent to the inequality4x 24 8x 16?9A x10B x10C x10D x4Benchmark: MA.912.A.3.11The graph of a line is shown on the grid below.Benchmark: 4Which of the following equations best representsthe graph?29y7z92x9y2z63D102yx3z5Benchmark: MA.912.A.4.3Which expression is equivalent to 9x2A (9x100)(x1)B (3x10)(3x10)C (9x10)(xD (3x100)(3x 1999-2011 Progress Testing100?10)1)Page 7A y3x2B y3x2C y3x2D y3x2

Benchmark Test : Algebra 112Benchmark: MA.912.A.3.1013The graph of line l is shown below.Benchmark: MA.912.A.4.4Divide:x2 - 6x 92x2 - 9x 9Which of the following is an equation for a linethat is perpendicular to line l in the graph?A y3xB y13C yD y14x-32Bx-62x - 9Cx-32x - 3Dx 32x - 3Benchmark: MA.912.A.3.95What is the slope of the line represented by theequation 3x 4y 16 0?xA3xxA34B34C43D 3 1999-2011 Progress TestingPage 8

Benchmark Test : Algebra 115Benchmark: MA.912.D.7.1Given A {0, 1, 2, 5, 7, 8} and Bwhat is the union of A and B?18{3, 5, 7, 9},Benchmark: MA.912.A.2.4Which of the following shows the domain andrange for the relation in the graph?A {0, 1, 2, 3, 5, 7, 8, 9}B {5, 7}C {0, 1, 2, 5, 7, 8}D {3, 5, 7, 9}16Benchmark: MA.912.A.5.4Nicole's aerobics class exercises to fast-pacedmusic. If the rate of the music is 120 beats perminute, how many beats would there be in a classthat is 0.75 hours long?A90B160A Domain: {1 x 8}Range: {2 y 6}C 5,400D 7,20017B Domain: {8 x 1}Range: {2 y 6}Benchmark: MA.912.A.5.4C Domain: {8 x 1}Range: {6 y 2}If the ratio of the corresponding sides of twosimilar triangles is 3:5, what is the ratio of theareas of these triangles?A3: 5D Domain: {1 x 8}Range: {6 y 2}19Benchmark: MA.912.D.7.1B 9:25If U {x} (x is an integer, 1 x 5) and P{1, 2, 5}, what is the complement of P (P')?C 3:5D 27:125A {1, 2, 5}B {3, 4}C {1, 2, 3, 4, 5}D {2, 3, 4} 1999-2011 Progress TestingPage 9

Benchmark Test : Algebra 120Benchmark: MA.912.A.3.922What is the slope of the line represented by theequation x 2y 6?ABenchmark: MA.912.A.4.1Simplify:1 -4 2(a b )212B 1A15a2b3B16a bC16a2b3Da8b106C 2D 6211 2 -5(a b )38 10Benchmark: MA.912.A.4.3Factor the following polynomial:2x3y3x2y223xy4x)B x2(2xy3y24y)C x2y(2x3yD y(2x33x2y2A xy(2x4)4x2y23Benchmark: MA.912.A.3.44x2)Which statement is equivalent to the inequalityx 2?2x 124A x3B x1C x1D x1Benchmark: MA.912.A.7.2What is the solution set of the equation(x a)(x b) 0?A { a, b}B {a, b}C { a, b}D {a, b} 1999-2011 Progress TestingPage 10

Benchmark Test : Algebra 125Benchmark: MA.912.A.3.1If 2(x3)A4B5C7x2610, what is the value of x?Benchmark: MA.912.A.3.11Look at the table below.D 14Which equation represents the relationship of xto y?A yB y5xC yxD y 1999-2011 Progress TestingPage 112x132x6

Benchmark Test : Algebra 127Benchmark: MA.912.A.3.8Which is the graph of the equation x4?ACBD 1999-2011 Progress TestingPage 12

Benchmark Test : Algebra 128Benchmark: MA.912.A.2.429The graph of a function is shown below. Eachhash mark represents 1 unit.Benchmark: MA.912.A.4.4Divide:6a2b33abA 2B 2abC 2a2b3D 2ab230Benchmark: MA.912.A.2.3Which table represents a linear function?ACBDWhich of the following best describes thedomain and range of the function in the graph?A Domain: {0Range: { 27}10}B Domain: {0 xRange: {0 y}88xy}8C Domain: {All real numbers}Range: {0 y}D Domain: {All real numbers}Range: {0 y 7} 1999-2011 Progress TestingPage 13

Benchmark Test : Algebra 131Benchmark: MA.912.A.3.10Look at the graph below.Which equation represents the relationship of x to y?32A y2x1B y2x2C y3xD y3x1Benchmark: MA.912.A.2.3Which of the following relations can bedetermined to be a function?A {( 1, 6), (2, 6), (3, 7), ( 1, 8)}B {( 1, 6), (2, 7), ( 3, 6), ( 2, 8)}C {( 1, 4), (5, 7), ( 2, 6), ( 1, 7)}D {( 1, 4), (5, 7), ( 2, 7), ( 1, 8)} 1999-2011 Progress TestingPage 14

Benchmark Test : Algebra 133Benchmark: MA.912.A.3.14What is the solution to the following system ofequations?xy2y2x477A ( 2 , 3)B ( 2, 3)101181C ( 3 , 3)D ( 5 , 5) 1999-2011 Progress TestingPage 15

Benchmark Test : Algebra 134Benchmark: MA.912.A.3.8Which is the graph of the equation y13x4?ACBD 1999-2011 Progress TestingPage 16

Benchmark Test : Algebra 135Benchmark: MA.912.A.4.338If (3x 2) is one factor of 6x2the other factor?5x6, what isBenchmark: MA.912.A.4.2Simplify:(xA 2x3B 3x3A 4x36x27x6C 2x3B 4x310x233D 6xC 4xD36Benchmark: MA.912.A.4.2What is the sum of x23x2 5x 9?372)(4x2A 4x22x2B 4x28x2C 4x22x16D 4x22x23x7 andBenchmark: MA.912.A.5.4Delroy's sailboat has two sails that are similartriangles. The larger sail has sides of 10 feet, 24feet, and 26 feet. If the shortest side of thesmaller sail measures 6 feet, what is theperimeter of the smaller sail?A15 ft.B36 ft.C60 ft.D 100 ft. 1999-2011 Progress TestingPage 174x2x623x62x38x2x3)

Benchmark Test : Algebra 1Directions: Use the diagram below to answer the questions that follow.Ben took a poll at a local ice cream shop to determine how many people like hot fudge, nuts, and caramel on theirsundaes. He recorded his results in the Venn diagram below.39Benchmark: MA.912.D.7.240Benchmark: MA.912.D.7.2How many people like hot fudge and caramel,but not nuts?How many people like hot fudge and nuts, butnot caramel?A 10AB 12B 10C 17C 17D 19D 26 1999-2011 Progress TestingPage 189

Benchmark Test : Algebra 141Benchmark: MA.912.A.6.244Look at the expression below.Benchmark: MA.912.A.3.1If 3(xx?AWhich of the following shows the expressionreduced to its simplest form?2)2(x1)8, what is the value of15B 1C 4A 8 2D 5B 4 245C 8D 16 242Benchmark: MA.912.A.3.11Look at the table below.Benchmark: MA.912.A.3.10Which statement describes the lines whoseequations are y13x12 and 6y2x 6?A They intersect each other.Which equation represents the relationship of xto y?B They are parallel to each other.C They are perpendicular to each other.D They are identical.43Benchmark: MA.912.A.3.9What is the slope of the line represented by theequation 5y 10x15?A15B10C2D10 1999-2011 Progress TestingPage 19A y5xB y7xC y6x4D y5x41

Benchmark Test : Algebra 146Benchmark: MA.912.A.3.347The equation yx2set of axes below.If 4x y H, which of the followingexpressions represents x?AH y4BH4yCH4yDH-y4Benchmark: MA.912.A.7.12x8 is graphed on theBased on the graph, what are the roots of theequation x2 2x 8 0?A 4 and 2B 2 and 4C 9 and 1D 8 and 0 1999-2011 Progress TestingPage 20

Benchmark Test : Algebra 148Benchmark: MA.912.A.3.349In terms of p and q, what is the value of x in theequation below?3xApWhich of the following is the greatest integer thatmakes the inequality 3 2x 9 a truestatement?qq-p3Bq3 pCqp3Dq3p 1999-2011 Progress TestingBenchmark: MA.912.A.3.4Page 21A4B2C2D5

Benchmark Test : Algebra 150Benchmark: MA.912.A.3.8Which is the graph of the equation y34x2?ACBD 1999-2011 Progress TestingPage 22

Benchmark Test : Algebra 151Benchmark: MA.912.A.2.454Which of the following shows the domain andrange of f (x) 2 x ?Benchmark: MA.912.A.6.2Which of the following is equivalent to theexpression below?8A Domain: {All real numbers}Range: {0 y}A 2 15C Domain: {0 x}Range: {All real numbers}B 8528D Domain: {0 xRange: {0 y88B Domain: {All real numbers}Range: {All real numbers}C 3 15}}D 4Benchmark: MA.912.A.3.555An online music club has a one-time registrationfee of 13.95 and charges 0.49 per song. IfEmma has 50.00 to join the club and buy songs,what is the maximum number of songs she canbuy?53Benchmark: MA.912.A.4.4Divide:3x3 5x2 - 48x - 80x 4A30A 3x27xB73B 3x217xC74C 3x25xD 131D 3x217xBenchmark: MA.912.A.3.3If acc?B1b 1abD ab1 1999-2011 Progress Testing20Page 232)B 2xy(x2y2)C 2xy(x2y)D 2xy(xya32Benchmark: MA.912.A.4.3A 2x2y3(yaC 120How is the binomial 2x2yfactored form?1, then which expression representsbA b56204y)4xy3 expressed in

Benchmark Test : Algebra 157Benchmark: MA.912.A.4.2What is the sum of 3x2x598 and x29?Benchmark: MA.912.A.7.2What is the solution set of the equationx2 2x 8 0?A 4x2x14x1A { 2, 8}C 4x2x17B { 4, 2}D 3x4x1C {4, 2}B 4xD {6, 2}58Benchmark: MA.912.A.3.1060Benchmark: MA.912.A.3.5The graph of a line is shown on the grid below.At Central High School, the sophomore class has60 more students than the freshman class. Thejunior class has 50 fewer than twice the numberof students in the freshman class. The seniorclass is three times as large as the freshman class.If there are a total of 1,424 students at CentralHigh School, how many students are in thefreshman class?A 202B 205C 235D 236Which equation best represents the graph of theline?A yB yC yD y2x42x2x2x444 1999-2011 Progress TestingPage 24

Benchmark Test : Algebra 1 1999-2011 Progress Testing Page 13 Benchmark: MA.912.A.2.4 The graph of a function is shown below. Each hash mark represents 1 unit. Which of the following best describes the domain and range of the function in the graph? A Domain: {0 x 7} Range: { 2 y 10} B Domain: {0 x 8} Range: {0 y 8} C Domain: {All real numbers}