Directions: Answer the following question(s). What … · ΔCDB, which of the following statements...

1 What is the midpoint for a segment withendpoints (3,5) and (7,-1)?

A. (10,4)

B. (5,2)

C. (4,4)

D. (1,3)

2 In the figure below, ∠HFG ≅ ∠HKJ and HF ≅HK.

Select the triangle congruence criterion thatcan be used to prove that ΔHFG ≅ ΔHKJ.

A. angle–angle–side (AAS)

B. angle–side–angle (ASA)

C. side–angle–side (SAS)

D. side–side–angle (SSA)

3 Point P'(3, 6) is the image of point P after areflection. The line of reflection intersectsPP' at point R(–3, –2). Based on the definitionof a reflection, what are the coordinates of P?

A. (–9, –10)

B. (–6, –8)

C. (0, 2)

D. (9, 14)

4 Rectangle ABCD has vertices at A(–3, 1),B(–2, –1), C(2, 1), and D(1, 3). What is thearea, in square units, of this rectangle?

A. 5

B. 10

C. 25

D. 100

5 Given the triangles below and that ∠S ≅ ∠Y

What additional information would you needto prove the triangles are congruent using theSide-Side-Side Congruence Postulate?

A. ∠R ≅ ∠XB. ST ≅ YZC. TS ≅ YXD. ∠T ≅ ∠ZE. RT ≅ XZ

Copy of Copy of 2015-16 IM 1 Chapters 6-8 review v2 Assessment ID: ib.669939

Directions: Answer the following question(s).

Illuminate Itembank™ Continue: Turn to the next page.Generated On June 3, 2016, 1:54 PM PDT

6 Given ΔADE ≅ΔCDB, which of the following

statements must be true?

Select all that apply!

A. DE ≅ DBB. AB ≅ CDC. D is the midpoint of ACD. ∠A ≅ ∠BE. ∠EDA ≅ ∠BDC

7

Given the triangles below, BC ≅ DC

What additional information would beenough to prove ΔABC ≅ ΔADC by the Side–Angle–Side Congruence Postulate?

A. AB ≅ ADB. ∠ABC ≅ ∠ADCC. ∠BCA ≅ ∠DCAD. ∠CAB ≅ ∠CAD




8 Look at this right triangle.

What is the area of ΔDEF?

A. 25 square units

B. 50 square units

C. 25 5 square units




9

Given:Line segment WZ bisects line segment XYLine segment XY bisects line segment WZ

To prove:Triangles WAX and ZAY are congruent

Statements: Reasons:

1. Segment WZ bisects XY 1. given

2. Segments XA and AY are congruent2. When a segment is bisected the resulting segments are

congruent

3. Segment XY bisects WZ 3. given

4. _____________________4. When a segment is bisected the resulting segments are

congruent

5. Angles WAX and YAZ are congruent 5. Vertical angles of intersecting lines are equal

6. Triangles WAX and ZYA are congruent6. Triangles with two sides and an included angle equal are

congruent

What should be in statement 4 to complete the proof?

A. Statement 4 is not needed the proof works without it.

B. Segments WA and AZ are congruent.

C. Segments WX and YZ are congruent.

D. Angles WXA and ZYA are congruent.

10 Determine if the following statement is true orfalse.

The vertex of angle ABC is point A.

A. True

B. False

11 A triangle with coordinates A(1, 1), B(4, 2),C(3, 5) is translated three units down and fiveunits to the left. What are the coordinates ofthe new triangle?

A. A'(–2, –4), B'(1, –3), C'(0, 0)

B. A'(–4, –2), B'(–1, –1), C'(–2, 2)

C. A'(–4, –2), B'(–7, –3), C'(–6, 0)

D. A'(–4, –2), B'(–1, –3), C'(–2, –6)




12 Tessa claims that a rotation of 90° clockwiseabout the center of some polygons will carrythe polygon onto itself. Select two polygonsthat support Tessa's claim.

A. square

B. octagon

C. hexagon

D. rectangle

13 Which of the following statements are true forall pairs of triangles that meet the givenconditions? Select three that apply.

A. If the three pairs of corresponding sides of twotriangles are congruent, then a sequence of rigidmotions can be found to show that the trianglesare congruent.

B. If the three pairs of corresponding angles of twotriangles are congruent, then a sequence of rigidmotions can be found to show that the trianglesare congruent.

C. If two pairs of corresponding sides and theincluded pair of corresponding angles arecongruent, then a sequence of rigid motions canbe found to show that the triangles arecongruent.

D. If two pairs of corresponding angles and theincluded pair of corresponding sides arecongruent, then a sequence of rigid motions canbe found to show that the triangles arecongruent.

14 Anthony draws parallelogram ABCD belowand investigates the reflections and rotationsthat carry it onto itself.

Anthony claims that a rotation of 360° is theonly transformation that carries parallelogramABCD onto itself.

Which of the following transformations couldbe used to refute Anthony's claim? Selectthree that apply.

A. A reflection over diagonal AC.

B. A reflection over diagonal BD.

C. A rotation of 90° clockwise about its center.

D. A rotation of 180° clockwise about its center.

15 Which statements are true for all rotationsabout the origin? Select three that apply.

A. Angles are taken to angles of the samemeasure.

B. Perpendicular lines are taken to perpendicularlines.

C. Circles are taken to circles of the same centerand radius.

D. Line segments are taken to line segments of thesame length.




16 A student wants to prove that the base anglesof an isosceles triangle are congruent. Thestudent draws isosceles triangle ABC withbase angles B and C, as shown below.

Point M is drawn as the midpoint of BC.

Which of the following could be used as partof the proof that ∠B ≅ ∠C? Select three thatapply.

A. AM ≅ AM because of the Symmetric Property.

B. BM ≅ CM because of the definition of amidpoint.

C. AB ≅ AC because of the definition of anisosceles triangle.

D. ΔABM ≅ ΔACM because of the SAS trianglecongruence criterion.

E. ∠B ≅ ∠C because corresponding parts ofcongruent triangles are congruent.

17 Based on the following figure, determinewhich values below are correct. Select twothat apply.

A. x = 4

B. x = 6

C. x = 9

D. m∠ACB = 51°

E. m∠ACB = 63°

F. m∠ACB = 81°




18 In which of the following triangles doesm∠A=62°? Select three that apply.

A.

B.

C.

D.

19 Lines m and n are perpendicular. Which ofthe following statements are true regardinglines m and n? Select two that apply.

A. Lines m and n form four right angles.

B. Lines m and n intersect at a single point.

C. Lines m and n are equidistant from each other.

D. Lines m and n form two acute angles and twoobtuse angles.

20 Mallory is investigating transformations in thecoordinate plane. She makes the claimsshown in the options below.

Select each claim that is true for all points inthe coordinate plane.

A. A reflection over the y–axis takes the point (x, y)to (–x, y).

B. A reflection over the line y = –x takes the point(x, y) to (x, y).

C. A translation of 4 units down takes the point (x,y) to (x, y – 4).

D. A rotation of 180° clockwise about the origintakes the point (x, y) to (y, –x).

21 Select each statement that is true for allreflections in the coordinate plane.

A. A point that is mapped to itself after a reflectionis on the line of reflection.

B. A line segment connecting a point and its imagewill be perpendicular to the line of reflection.

C. The distance between a point and its image willbe twice the distance between the point and theline of reflection.




22 Equilateral triangle ABC is shown below. Triangle ABC is then rotated 60 degreesclockwise about vertex C to produce triangleA'B'C'.

Select each statement that is true based onthe definition of a rotation.

A. Vertex C and vertex C' are located in the sameplace.

B. The measure of ∠B'C'A' is 120° since 60 + 60 =120.

C. The measure of ∠B' is 60° since the measure of∠B is 60°.

D. The measure of ∠BCB' is 60° since 60° is theangle of rotation.

23 Helga knows that the corresponding angles oftwo triangles are congruent. She claims thatthe two triangles must be congruent. Whichstatement best describes Helga's claim?

A. Helga is correct since two congruent triangleshave corresponding angles that are congruent.

B. Helga is incorrect since the two triangles mustalso have congruent corresponding sides to becongruent.

C. Helga is correct since three angles determineone unique triangle, so the two triangles must becongruent.

D. Helga is incorrect since only similar triangles,but not congruent triangles, have congruentcorresponding angles.

24

Determine if the following statement is true:

Vertical angles are congruent.

A. True

B. False

25 An angle measuring 35° would bea(n)____________?

A. straight angle

B. acute angle

C. right angle

D. obtuse angle

26 Two angles are complementary. One angle has ameasure that is twice the other angle. What is themeasure of the smaller angle?

A. 15°

B. 60°

C. 45°

D. 30°

27 Which series of transformations of a figure willalways result in a congruent image?

A. Translation, rotation, then dilation.

B. Translation, reflection, then rotation.

C. Translation, dilation, then rotation.

D. None of these series of transformations willalways result in a congruent image.




28 In order to show that ΔFGH is congruent toΔF'G'H', how many degrees must ΔFGH berotated clockwise about the origin?

A. 90°

B. 180°

C. 270°

D. 360°

29 Which of the following represents the rule forreflecting an image across the x–axis?

A. (x, y) → (–x, y)

B. (x, y) → (x, –y)

C. (x, y) → (–x, –y)

D. (x, y) → (y, x)

30 If RSTU is translated by the rule(x, y) → (x + 2, y – 10), in which quadrant willthe image R'S'T'U' be located?

A. quadrant I

B. quadrant II

C. quadrant III

D. quadrant IV




31 If ΔCDE is reflected across the line y = x, whatwould be the coordinates of ΔC'D'E'?

A. C'(1, 5), D'(8, 2), E'(7, 6)

B. C'(–1, –5), D'(–8, –2), E'(–7, –6)

C. C'(–1, 5), D'(–8, 2), E'(–7, 6)

D. C'(–5, 1), D'(–2, 8), E'(–6, 7)

32 A circle is defined as

A. a flat surface extending in all directions.

B. all points between and including two givenpoints.

C. a closed plane figure in which all sides are linesegments.

D. the set of all points that are a fixed distance froma given point.

33 Is the line passing through the points (–4, 5)and (1, 10) parallel to the line passing throughthe points (–18, –6) and (–8, 4)?

A. No, because the slopes of the lines are thesame, but the y–intercepts are different.

B. No, because the slopes of the lines are different.

C. Yes, because the slopes of the lines are thesame, but the y–intercepts are different.

D. Yes, because the slopes of the lines aredifferent.

34 The equation of line r is 4x – 2y = 6, and theequation of line s is x + 2y = 14. Whichstatement about the two lines is true?

A. Lines r and s share the same y–intercept.

B. Lines r and s intersect at point (1, –1).

C. Lines r and s are perpendicular.

D. Lines r and s are parallel.

35 What is the slope of a line parallel to the line

y = – 3

2x + 3?

A.–

3

2

B.–

2

3

C. 2

3

D. 3

2

36

Which of the following best describes theconstruction above?

A. ray GE bisects angle FGH

B. ray GE trisects angle FGH

C. ray GE is parallel to ray GH only

D. ray GE is parallel to ray GH and ray GF




37

Richard is using segment AB in the construction of triangle ABC congruent to triangle JKL.

All but one of the steps he will use is listed below. Which is the missing Step 3?

1) Fix a compass with an end on point J and the other end on point L.2) Without changing the opening, move the stable end to point A and draw an arc.3) __________4) Without changing the opening, move the stable end to point B and draw an arc.5) Make a point where the two arcs intersect and label it C.6) Connect point C to A and connect C to B.

A. Fix a compass with the two ends on point A and point B.

B. Fix a compass with the two ends on point J and point K.

C. Fix a compass with the two ends on point L and point K.

D. Fix a compass with the two ends on the two endpoints of the arc drawn in Step 2.

38 Which illustration shows the markings for the construction of the perpendicular bisector of XY?

A.

B.

C.

D.




39 What type of quadrilateral is formed by thepoints A(0, 4), B(4, 0), C(0, –3), and D(–4, 0)?

A. isosceles trapezoid

B. kite

C. non-special parallelogram

D. rhombus

40 The vertices of ∆ABC are A(–4, 2), B(6, 6), C(2,7). A translation maps point A to the pointA'(6, –3). If B and C are mapped by the sametranslation, what are the coordinates of B' andC'?

A. B'(–4, 11), C'(–8, –12)

B. B'(8, 5), C'(4, 6)

C. B'(12, 3), C'(8, 4)

D. B'(16, 1), C'(12, 2)

41 Which of the following can be assumed fromthe figure?

I. ∠MQR and ∠MQN are a linear pair II. ∠MQR and ∠PQN are vertical anglesIII. ∠MQR is a right angle

A. I and II only

B. II and III only

C. I and III only

D. I, II, and III

42 Which pair of equations representsPARALLEL lines?

A.y = 2x and y = –

1

2x

B.y = 2x and y = –

1

2

C. y = 2 and y = –2

D. y = 2 and x = –2

43 Which pair of equations representsPERPENDICULAR lines?

A.y = x and y =

1

x

B. y = 1 and y = –1

C. y = x + 1 and y = x – 1

D. y = 1 and x = –1

44 Which pair of equations would represent linesthat are PERPENDICULAR to each other?

I. 3x – 2y = 12II. 3x + 2y = –12III. 2x – 3y = –12

A. I and II

B. II and III

C. I and III

D. None of these lines are perpendicular to eachother.

45 Line r contains the points (1 , 7) and (–3 , –5). Line t contains thepoints (–6 , –20) and (0 , –2). Which statement is TRUE about lines r and t?

A. Their slopes are both negative

B. Their slopes are opposite–reciprocals.

C. Their slopes are opposites but not reciprocals.

D. Their slopes are the same.




46 What type of compass and straightedgeconstruction is being made in this diagram?

A. secant equidistant from K

B. perpendicular line through K

C. perpendicular segment bisector

D. semicircle K with equidistant chord

47 This diagram represents what kind ofconstruction?

A. Parallel Lines

B. Perpendicular Lines

C. Congruent Segments

D. Parallel Segments

48 What type of compass and straightedgeconstruction is being made in this diagram?

A. Parallel Lines

B. Perpendicular Lines

C. Angle Bisector

D. Congruent Angles

49 What is the y–intercept of a line perpendicular

to y = 1

2x + 6 that passes through the point

(4 ,–3)?

A. 5

B. 5

2

C. –5

D. –11

50 If the slope of line xy is m, what is the productof the slopes of the line xy and a lineperpendicular to xy ?

A. 1

B. –1

C. 2m

D. m2

51 Fill in the blank:

Slopes of perpendicular lines are __________.

A. the same

B. negative reciprocals

C. reciprocals

D. opposites




52 Using a straightedge and a compass, whichconstruction is being performed in the picturebelow?

A. A perpendicular to a line at a given point on theline

B. A perpendicular to a line from a given pointoutside the line

C. A parallel to a given line through a given pointoutside the line

D. A perpendicular bisector of a segment

53 What is the next step in constructing an angle(∠MNO ) congruent to the given angle(∠ABC ) with a straightedge and a compass?

1. Draw a ray. Label it NO2. Using B as the center and any radius, drawan arc which intersects BA and BC . Label theinterception points D and E.3. ?

A. Draw a ray NM .

B. Using N as the center and any radius, draw anarc which intersects NM and NO. Label theinterception points P and Q.

C. With a straightedge, connect points D and E.

D. Using N as the center and the same radius asbefore, draw an arc that intersects NO. Labelthe arc PQ where Q intersects NO.

54 What type of compass and straightedgeconstruction is being made in the figurebelow?

A. an angle bisector

B. a perpendicular bisector to AB

C. a line parallel to AB

D. a tangent line to circle A

55 The center of a circle is (5 , –3) and its radiusis 4. Which point lies OUTSIDE of the circle?

A. (4 , –2)

B. (6 , 0)

C. (4 , –5)

D. (–1 , –4)

56 Which of the following is a valid TriangleCongruence Theorem?

A. AAA

B. SSA

C. ASA

D. None of the above

57 Plot the points A(–6, 4), B(–1, 1), and C(3, 1) ina coordinate plane. The angle ABCis a(n) __________.

A. acute angle

B. obtuse angle

C. right angle

D. straight angle




58 Which of the following equations has ONEsolution?

A. 2x = 2x + 18

B. 2x - 10 = 2(x - 5)

C. 5(x + 3) + x

D. 2x + 5= 11 - 4x

59 Which of the following could be the sides of aright triangle? Check two that apply.

A. 10,24,26

B. 4,5,9

C. 6,12,18

D. 18, 24, 30

60 What is the probability that a randomlyselected student who is enrolled in Biology isalso taking Chemistry?

A. 922

B. 913

C. 917

D. 945

61 A researcher surveys 100 people that tastedtwo new flavors of yogurt to find their tastepreferences. Each person surveyed tastedtwo yogurts. One was labeled A, and theother was labeled B.

The student's results are represented in thetwo–way frequency table below.

Taste Preferences Liked A Did Not Like A TotalLiked B 40 35 75

Did Not Like B 10 15 25Total 50 50 100

Which of the following statements are correctinterpretations of the information representedin the two–way frequency table? Select twothat apply.

A. Only 40 people liked A.

B. Only 50 people liked A.

C. Only 40 peo[ple liked B.

D. Only 75 people liked B.

E. Only 75 people liked A and B.




62 Points R and S are plotted on the coordinate plane below.

What is the distance between point R which is located at (‐8, ‐6) and point S which is located at (4, 2)?A. 40B. 52C. 208D. 400

63 A store is having a sale. Sally wants to buyan $80 item at the store. Which of thefollowing equations gives the discount price,y, in dollars, of the $80 item after a discountof x percent?

A. y = 80 – 1.25x

B. y = 80 – 0.8x

C. y = 80 + 0.8x

D. y = 80 + 1.25x

64 Explain what the slope represents in theequation P=15 + 0.1m, where P is your cellphone plan's monthly charge in dollars, andm is the number of minutes you used.

A. 15 is the the slope and represents the number ofminutes used.

B. The slope is 0.1 and represents the number ofminutes used

C. The slope is 0.1 and represents a rate of 1 centper minute.

D. The slope is 0.1 and represents a rate of 10cents per minute.

65 Kacey surveyed a different group of students inher science and math classes. The double boxplot shows the results for both classes.

Which measure has the greatest differencebetween the two data sets?

A. range

B. median

C. interquartile range

D. upper quartile




66 A city is divided into four quadrants: northeast, northwest, southeast, and southwest. The city'smayor conducts a survey to determine if residents in each quadrant of the city agree or disagreewith the new city policy on dog leashes. The two–way table below shows the results of the survey.

Select all statements that are true regarding the results of the survey.

A. Exactly 44.8% of all surveyed residents agree with the policy.

B. Exactly 31.2% of all surveyed residents were from the southeast quadrant.

C. Approximately 47.5% of surveyed residents in the northeast quadrant disagree with the policy.

D. Approximately 30.3% of surveyed residents who agree with the policy are from the northwest andsouthwest quadrants.




67 The age of each student in a scout troop isshown below.

7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 13,13, 14, 14

Which box plot best represents the age of thestudents in the scout troop?

A.

B.

C.

D.

68 A student researches the number of miles inthe U.S. highway system since 1990 andcreates the scatter plot below. The studentdraws a line to fit a linear function for the datapoints on the scatter plot.

Which of the following statements describesthe adequacy of the line drawn by thestudent?

A. The line drawn by the student represents anadequate fit as the line passes through the firstplotted data point.

B. The line drawn by the student represents anadequate fit as the line shows the same lineartrend as the data points.

C. The line drawn by the student does notrepresent an adequate fit as the line should becloser to more of the data points.

D. The line drawn by the student does notrepresent an adequate fit as the line should bebelow all of the data points, not above.




69 Tees for Teens is a store that sells shirts. Thegraph below represents the total cost per shirtbased on the number of colors in the design.

Which of these equations represents therelationship between the cost per shirt (s) and thenumber of colors (c)?

A. s = 0.75c + 5B. s = 1.5c + 5C. s = 5c + 0.75D. s = 5c + 3

70 The histogram shows the distribution of thenumber of cell phones owned by 210 householdsof 5 or more people with a minimum age of nine.

Which box-and-whisker plot corresponds to thisdistribution?

A.

B.

C.

D.




71 This two-way table below shows the number ofstudents with each hair color and eye color.

What percent of students have blond hair andblue eyes?

A. 15%

B. 69%

C. 17%

D. 43%

72 The histograms below show the distribution ofquiz scores on a ten point math quiz with andwithout a fifteen minute review before the quiz.

Which statement describes the differences in thedata?

A. There was a greater variety of scores with the15 minute review.

B. The median of the scores without the review is8.

C. The scores didn't improve with the 15 minutereview.

D. The scores improved with the 15 minute review.




73 Jenny uses a laundry service once a week. Shepays the same amount for each pound shewashes, plus a flat fee for using the machines.The costs for different numbers of poundswashed are shown in the graph.

What are the flat fee and the amount per poundthat Jenny pays to use the laundry service?

A. The flat fee is $1.25, and the amount per poundis $10.00.

B. The flat fee is $10.00, and the amount perpound is $1.25.

C. The flat fee is $1.25, and the amount per poundis $11.25.

D. The flat fee is $10.00, and the amount perpound is $11.25.

74 A truck driver travels from a distributor to aretailer every week. The driver records thedistance that he is from the retailer atdifferent times during his trip. After severalweeks of collecting data, the driver creates ascatter plot of the data. The line of best fit isy = 73.6 – 67.8x, where x is the number ofhours spent driving and y is the distance, inmiles, from the retailer.

Which of the following statements are true? Select three that apply.

A. The distance from the retailer increases withtime.

B. The distance from the retailer decreases withtime.

C. The distributor is 67.8 miles away from theretailer.

D. The distributor is 73.6 miles away from theretailer.

E. The truck is traveling at a rate of 67.8 miles perhour.




75 In an election for student governmentpresident, students in grades 9 through 12were eligible to vote for either Spencer orJules. The two–way table below shows theresults of the election.

Based on the two–way table, whichstatements are true regarding the election? Select two that apply.

A. Spencer won the election with exactly 60% ofthe votes.

B. Approximately 33.7% of the 12th grade studentsvoted for Spencer.

C. Exactly 50% of the students who voted in theelection were in 11th or 12th grade.

D. Approximately 59.5% of the students who votedfor Jules were in 9th or 10th grade.

76 The dot plots below show the fuel efficiency,in miles per gallon, of two different fleets ofcars. Which of the following statements aretrue? Select two that apply.

A. The mean for Fleet 1 is smaller than the meanfor Fleet 2.

B. The median for Fleet 1 is the same as themedian for Fleet 2.

C. The mode for Fleet 1 is smaller than the modefor Fleet 2.

D. The mean for Fleet 1 is larger than the mean forFleet 2.

E. The median for Fleet 1 is larger than the medianfor Fleet 2.

F. The mode for Fleet 1 is the same as the modefor Fleet 2.




77 The box–and–whisker plots shown representthe distribution of basketball team scores fortwo different teams. Based on the data in theplots, which of the following measures islarger for Team A than for Team B? Selecttwo that apply.

A. Median

B. Range

C. Maximum

D. Interquartile range

78 A recent social survey asked whether respondents believed that Antarctic penguins werethreatened. The responses are summarized in the table below.

Answer Male Female Total

A great deal 123 200 323

Some 150 164 314

Not at all 28 16 44

Total 301 380 681

A respondent is randomly selected among those who believe that penguins are threatened "a greatdeal." Approximately what is the probability that this respondent will be female?

A. 29%

B. 38%

C. 53%

D. 62%




79 A car rental company charges a daily flat feeof $55.00, plus $0.15 for each mile driven. Celia rents a car for one day.

Complete the table below with total cost thatCelia will pay for renting the car based on thenumber of miles driven.

Number of Miles Total Cost

0

25

50

75

100

125

80 A company determined the amount of dollarsit spends on developing new products peryear as well as their gross sales per year overthe past six years. The company then plottedthis data on the scatter plot shown below withall values being shown in thousands ofdollars.

Graphed Points:(18, 400), (41, 519), (43, 605), (58, 608), (72, 661), (78, 765)

The company is planning to increase theamount of money that they spend on productdevelopment and wishes to determine howthis will affect their profits.

Complete the table to determine anappropriate line of best fit written in y = ax + bform using the numbers317, 398, 602, 1.1, 5.3, or 0.7.

Variable Value

a

b




81 What is the value of a in the right triangleshown below?

A. a = 6B. a = 3C. a = 9D. a = 81

82 Which of these points are 25 units from thepoint (9, –5)? Select three that apply.

A. (–16, 8)

B. (–15, 2)

C. (2, 19)

D. (3, 20)

E. (33, –12)

F. (34, –30)

83 Pierre went on a long bike ride. The straight–line distance between his starting point andhis ending point was 25 miles. How could hehave gotten to his ending point? Select twothat apply.

A. by biking 3 miles east and 22 miles north

B. by biking 7 miles south and 24 miles west

C. by biking 15 miles west and 20 miles north




84 An executive at a car company wants to examine the relationship between the amount of money thecompany spends on marketing and the number of cars sold. The scatter plot below shows thisrelationship.

Which of the following equations most likely represents the line of best fit for the data shown in thescatter plot?

A. y = 5x

B. y = 57,500

C. y = 5x + 35,250

D. y = 5x + 57,500

85 A state transportation worker records thenumber of miles traveled on a thruway andthe corresponding tolls. The worker creates ascatter plot of the data and determines thatthe line of best fit is T(m) = 0.04m + 1.26,where T is the amount of the toll, in dollars,and m is the number of miles traveled on thethruway.

Based on this linear model, how many milescan be traveled on the thruway for eachadditional $1 increase on the toll?

miles

86 Ian used the Pythagorean Theorem to find thedistance between two points as follows.

a2 + b2 = c2

(11 – 2)2 + (3 – 15)2 = c2

92 + (–12)2 = c2

81 + 144 = c2

225 = c2

c = 15

Which of these pairs of points could he havebeen finding the distance between?

A. (–2, –15) and (11, 3)

B. (2, 15) and (11, 3)

C. (11, –2) and (3, –15)

D. (11, 2) and (3, 15)




87 In the figure below, AB and CD areperpendicular.

What is the perimeter of ΔABC?

A. 48 mm

B. 52 mm

C. 64 mm

D. 80 mm

88 As part of a proof of the PythagoreanTheorem, Katie claims the area of the outersquare is equal to the sum of the areas of thefour triangles and the area of the inner squarein the figure below.

Which of the following equations matchesKatie's claim?

A. (b + a)2 = c2 + 2(ab)

B. (b + a)2 = c2 + 4(ab)

C. 4(b + a) = 4c + 2(ab)

D. 4(b + a) = 4c + 4(a + b + c)

89 Lucas has an 11 ft ladder. To the nearest foot,how far up the wall will the ladder reach whenthe base of the ladder is 4 ft from the wall?

A. 15 ft

B. 11 ft

C. 10 ft

D. 7 ft




90The area of the figure on the left is given by 4(

1

2ab) + a2 + b2.

The area of the figure on the right is given by 4( 1

2ab) + c2.

What is the first step in using the given information to prove the Pythagorean Theorem?

A.4(

1

2ab) + a2 + b2 = 4(

1

2ab) + c2

B.

(ab)2 = 4( 1

2ab) + c2

C.

(4( 1

2ab) + a2 +b2) – (4(

1

2ab) + c2) = 1

D. 4(ab) + a2 + b2

4(ab) + c2 = 0

91 At school athletic events you can buy 3 drinksand 2 hot dogs for $4.80 or you can buy 1drink and 1 hot dog for $2.00. How muchdoes 1 hot dog cost?

A. $0.80

B. $0.96

C. $1.00

D. $1.20

92 Where do the lines defined by the followingsystem intersect?

x = 2y3x – 4y = 8

A. (8, 4)

B. (4, 2)

C.(

8

3, –2)

D. (–4, –2)




93 Marta hopes to have a test average of at least90 by the end of the marking period. Hergrades on the first four tests have been 86,84, 97 and 89. What is the lowest grade shecan receive on her fifth and final test and stillhave a test average of 90 or higher?

A. 94

B. 91

C. 90

D. 4

94 Only one of the following steps was justifiedwith the correct property. Pick thejustification that was used correctly in theproblem.

A. Associative Property of Multiplication

B. Addition Property of Equality

C. Distributive Property of Multiplication withRespect to Addition

D. Division Property of Equality

95 Which inequality defines the shaded regiongraphed below?

A. 4x + y ≥ 16

B. x – 4y ≥ –16

C. 4x + y ≤ 16

D. x – 4y ≤ –16

96 Solve: 2 – 3(x – 1) = 13

Step 1: 2 – 3x – 1 = 13Step 2: 1 – 3x = 13

Step 3: ( 1

3 )(3x) = (– 1

3 )(12)

Step 4: x = – 4

Which is the first incorrect step in thesolution shown above?

A. Step 1

B. Step 2

C. Step 3

D. Step 4




97 Lee converted 500 U.S. dollars to 625Singapore dollars. If a represents U.S. dollarsand s represents Singapore dollars, which ofthese equations represents the relationshipbetween the two currencies?

A.a =

s

0.8

B.a =

0.8

s

C.a =

s

1.25

D.a =

1.25

s

98 A parking meter charges $2 per hour. As adriver parks her car, she notices that theparking meter has 15 minutes remaining on itfrom the previous driver who used theparking spot. If the driver inserts d dollarsinto the parking meter and the parking meterhas 3 hours remaining on it as a result, whichof these equations can be used to solve ford?

A. 3 = 0.5d + 0.15

B. 3 = 0.5d + 0.25

C. 3 = 2d + 0.15

D. 3 = 2d + 0.25

99 Which of the following graphs represents the

solution to the inequality x

−2 − 2 ≥ − 6 ?

A.

B.

C.

D.




If Jess wants to graph the solution to the system of equations below, which of the following graphswould represent the solution?

A.

B.

C.

D.

100




Identify the solution to the system ofequations below.

A. (0, 0)

B. (9, 9)

C. no solution

D. infinitely many solutions

101

Which of the following points is NOT a solution tothe inequality 4x − y < 5 ?

A. (2,3)

B. (-5,0)

C. (1,5)

D. (-4,-1)

102




Examine the following graph of a system of equations.

Based on the graph above, determine the solutions to this system of equations. Select two thatapply.

A. (–7, 0)

B. (–6, –5)

C. (–4, –9)

D. (–1, 0)

E. (0, 7)

103




Examine the following graphed system oflinear inequalities.

Select the solutions to the system ofinequalities from the following points. Selecttwo that apply.

A. (–5, 3)

B. (1, –2)

C. (0, –4)

D. (–8, –1)

104

A student was given the single matrix

equation . The studentwrote the equations as 4x + 8y = 20 and 3x +4y = 35. Use the rule about matrix equationsto identify the student's mistake. What is theerror in the first equation?

A. The coefficient with y should be –8.

B. The coefficient with y should be 4.

C. The coefficient with x should be –4.

D. The coefficient with x should be 8.

105

Josh needs to solve the system of equationsbelow.

He decides to use the elimination method tocancel out the x terms in order to first solvefor y. Josh uses the following steps:

Step 1: 4x + 5y = 7 –2(2x) – 3y = 9

Step 2: 4x + 5y = 7 –4x – 3y = 9

Step 3: 2y = 16

Step 4: y = 8

Did Josh use the correct steps to solve for y?

A. Yes, Josh correctly solved for y.

B. No, Josh should have multiplied 2x by 2 insteadof by –2.

C. No, Josh should have multiplied the entiresecond equation by –2.

D. No, Josh should have multiplied the entiresecond equation by –4.

106




A student is trying to solve a system ofequations by using a single matrix equation. The equations are 4x + 5y = 30 and6x + 4y = 38. The student writes the matrix

equation as .

Select two options that refute the student'smatrix equation.

A. You cannot multiply a 2 × 1 matrix by a2 × 2 matrix.

B. You cannot multiply a 1 × 2 matrix by a2 × 2 matrix.

C. The equation should be

.

D. The equation should be

.

E. The equation should be

.

F. The equation should be

.

107Carlos uses the formula below to change Celsiustemperatures (C) into Farenheit temperatures (F).

F = 95C + 32

Which of these graphs represents the formula?

A.

B.

C.

D.

108




Jane has $7.50 to spend in the candy store. She likes lollipops and gumballs. Eachlollipop cost $2.75, and each gumball costs$0.50.

If Jane decides to buy 1 lollipop, then what isthe greatest number of gumballs Jane canbuy?

A. 15

B. 10

C. 9

D. 2

109

John wants to determine the width of hisbackyard. The equation p = 2l + 2wrepresentsthe equation of the perimeter of his backyardusing length and width. Which of the followingequations represents the equation solved for thewidth of his backyard?

A. l = p − 2w2

B. w = p − 2l2

C. 2w = 2 − plD. w = p

2 − 2l

110



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