Free Printable Int 1 - Quarter 2

Worksheets

Int 1 - Quarter 2 - Final Review

Total questions: 124

Worksheet time: 21hrs 40mins

Name

Class

Date

The graph of an exponential function and a linear function are shown below.

Which statement is true about the functions?

The exponential function is generally growing slower than the linear function.

The exponential function is generally growing faster than the linear function.

The linear function is generally growing faster than the exponential function.

The exponential function and the linear function are generally growing at the same rate.

Which type of function is represented by the table of values below?

exponential

linear

quadratic

square root

Which rule can be used to describe the growth of the y-values of the function $y=12^x$ over each interval from x = -1 to x = 3?

add 12

multiply by 12

add 1, then 12, then 144

multiply by 1, then by 12, then by 144

Over which interval does the exponential show a more rapid rate of change?

0 < x < 1

0 < x < 2

1 < x < 2

-2 < x < 0

Consider the quadratic function f(x) = x² – 8x – 4. What is the value of the leading coefficient?

-8

-4

Which is f(6) for the quadratic function graphed?

-2

-0.5

1.5

Consider the quadratic function f(x) = $\frac{1}{5}$ x² – 5x + 12. Which statement is true about the function and its graph?

The value of f(–10) = 82

The graph of the function opens down.

The graph contains the point (0, 0).

The graph of the function is linear.

Which is the graph of the function f(x) = x² + 2x + 3?

Which statement about the function is true?

The function f(x) = –x² – 4x + 5 is shown on the graph.

The domain of the function is all real numbers less than or equal to −2.

The domain of the function is all real numbers less than or equal to 9.

The range of the function is all real numbers less than or equal to −2.

The range of the function is all real numbers less than or equal to 9.

10.

Which is the rate of change for the interval between 3 and 6 on the x-axis?

-3

-2

11.

Which function has a vertex on the y-axis?

f(x) = (x – 2)²

f(x) = x(x + 2)

f(x) = (x – 2)(x + 2)

f(x) = (x + 1)(x – 2)

12.

Gerald graphs the function f(x) = (x – 3)² – 1. Which statement is true about the graph?

The domain is {x| x ≥ 3}.

The range is {y| y ≥ –1}.

The axis of symmetry is x = –1.

The graph faces downward

13.

What is the range of the function f(x) = −(x + 3)² + 7?

all real numbers less than or equal to 7

all real numbers greater than or equal to 7

all real numbers less than or equal to −3

all real numbers greater than or equal to −3

14.

Giselle graphs the function f(x) = x². Robin graphs the function g(x) = –x². How does Robin’s graph relate to Giselle’s?

Robin’s graph is a reflection of Giselle’s graph over the x-axis.

Robin’s graph is a reflection of Giselle’s graph over the y-axis.

Robin’s graph is a translation of Giselle’s graph 1 unit down.

Robin’s graph is a translation of Giselle’s graph 1 unit left.

15.

Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.

Which statement about the function is true?

The vertex of the function is at (–4,–15).

The vertex of the function is at (–3,–16).

The graph is negative on the interval x < –4.

The graph is positive on the interval x > –4.

16.

The graph shows the relationship between the price of frozen yogurt and the number of ounces of frozen yogurt sold at different stores and restaurants.

According to the line of best fit, about how many ounces of frozen yogurt can someone purchase for $5?

1.5

15.5

17.

A line of best fit is drawn for the set of points shown on the graph.

Which point is an approximate extrapolation for x = 30 from the line of best fit?

(23, 30)

(30, 38)

(44, 30)

(30, 72)

18.

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.

A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.

According to the line of best fit, the object was dropped from a lower height.

The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.

The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.

19.

The table shows the average number of hours of daylight per day for the last four months of the year.

What is the correlation coefficient for the data in the table?

–0.993

–0.791

0.791

0.993

20.

Which best describes the strength of the model with an r-value of –0.93?

a weak positive correlation

a strong positive correlation

a weak negative correlation

a strong negative correlation

21.

The table shows the shoe sizes of women of different ages.

Which best describes the strength of the model?

a weak positive correlation

a strong positive correlation

a weak negative correlation

a strong negative correlation

22.

Fiona wrote the predicted and residual values for a data set using the line of best fit y=3.71x-8.85.

Which statement is true about the table?

The data point for x = 1 is above the line of best fit.

The residual value for x = 3 should be a positive number because the data point is above the line of best fit.

Fiona made a subtraction error when she computed the residual value for x = 4.

The residual value for x = 2 should be a negative number because the given point is above the line of best fit.

23.

Consider the plot created from the residuals of a line of best fit for a set of data.

Does the residual plot show that the line of best fit is appropriate for the data?

Yes, the points have no pattern.

No, the points are evenly distributed about the x-axis.

No, the points are in a linear pattern.

Yes, the points are in a curved pattern.

24.

A residual plot is shown.

Which statement is true about the residual plot and the equation for the line of best fit for the data?

The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.

The equation for the line of best fit is a good approximation for the data because the points are random, having no pattern.

The residual plot has a linear pattern.

The points of the residual plot are spread evenly above and below the x-axis.

25.

Find the residual values, and use the graphing calculator tool to make a residual plot.

Does the residual plot show that the line of best fit is appropriate for the data?

Yes, the points have no pattern.

No, the points are evenly distributed about the x-axis.

No, the points are in a linear pattern.

Yes, the points are in a curved pattern.

26.

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x² + 100 models the data in the table.

For which value of x would this model make the least sense to use?

–2.75

0.25

1.75

2.25

27.

The table shows a company’s profit based on the number of pounds of food produced.

Using the quadratic regression model, which is the best estimate of the profit when 350 pounds of food are produced?

$5,150

$5,300

$10,150

$11,000

28.

The graph shows the exponential regression model for data representing a rabbit population after x years.

Which is true of the regression model?

The graph of the regression model is limited to whole-number values for x.

The graph of the regression model is limited to whole-number values for y.

The graph of the regression model cannot be used to approximate the population size for year 1.

The graph of the regression model can be used to predict the population size for any number of years in the future.

29.

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

Which shows the correct values for the variables in the table?

a = 18, b = 34, c = 65

a = 34, b = 18, c = 68

a = 34, b = 68, c = 47

a = 47, b = 18, c = 68

30.

Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either.

What are the correct values of a, b, c, d, and e?

a = 42, b = 28, c = 33, d = 5, e = 10

a = 42, b = 5, c = 28, d = 33, e = 10

a = 5, b = 42, c = 28, d = 10, e = 33

a = 5, b = 10, c = 28, d = 33, e = 42

31.

The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both.

Which is the marginal relative frequency for the people who do not like bar soap?

$\frac{100}{400}$

$\frac{120}{400}$

$\frac{280}{400}$

$\frac{300}{400}$

32.

The frequency table shows the results of a survey comparing weekly gasoline costs to the average number of miles a car can drive on a gallon of gasoline.

Marcel converts the frequency table to a conditional relative frequency table by row.

Which value should he use for Y? Round to the nearest hundredth.

0.19

0.45

0.82

0.90

33.

The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.

Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

Table A, because the given condition is that the student is in high school.

Table A, because the given condition is that the student is taking a foreign language.

Table B, because the given condition is that the student is in high school.

Table B, because the given condition is that the student is taking a foreign language.

34.

The conditional relative frequency table below was generated by column using data comparing gender and a person's favorite meal to cook.

Which would most likely indicate an association between the categorical variables?

The value of A is similar to the value of B.

The value of A is similar to the value of E.

The value of B is not similar to the value of C.

The value of B is not similar to the value of F.

35.

Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz. Group A uses a calculator, while Group B does not. The table shows the completion times, in minutes, of students in each group.

Which statement is true about the distributions of completion times?

The students in Group A tended to complete the quiz in less time.

The median of Group A is greater than the median of Group B.

The means of both groups are about the same.

The standard deviation of Group B is less than the standard deviation of Group A.

36.

The box plot represents the number of math problems on the quizzes for an algebra course.

What is the range of the data?

37.

Which data set has an outlier?

6, 13, 13, 15, 15, 18, 18, 22

4, 4, 4, 8, 9, 9, 11, 18

2, 3, 5, 7, 8, 8, 9, 10, 12, 17

3, 6, 7, 7, 8, 8, 9, 9, 9, 10

38.

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.

6, 14, 6, 18, 9, 9, 12, 10, 11, 15

Which statement is true about the number of books packed to a box?

The median number of books to a box is 8.

The median number of books to a box is 9.

The mean number of books to a box is 11.

The mean number of books to a box is 12.

39.

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza.

Which dot plot could represent the same data as the frequency table?

40.

The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

How does the $100 gift card affect the measure of center of the data?

It increases the mean value of the prizes.

It decreases the mean value of the prizes.

It increases the median value of the prizes.

It decreases the median value of the prizes.

41.

The graph shows a distribution of data with a standard deviation of 6.

Which statement is true about the data point 84?

It is within 1 standard deviation of the mean.

It is within 2 standard deviations of the mean.

It is exactly 3 standard deviations from the mean.

It is exactly 4 standard deviations from the mean.

42.

The graph shows a distribution of data.

Which statement about the data is true?

The data has a standard deviation of 0.1.

The mean of the data is greater than 0.5.

A value of 0.7 is within 1 standard deviation of the mean.

A value of 0.9 is more than 2 standard deviations from the mean.

43.

Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street and noted their hair and eye color.

Red Hair Green eyes: 18 Eye color other than green: 29

Hair Color Other Than Red Green eyes: 114 Eye color other than green: 650

Consider the relative frequency table.

To the nearest whole percent, what is the value of x in the table?

x = 14%

x = 15%

x = 16%

x = 18%

44.

Planes S and R both intersect plane T .

Which statement is true based on the diagram?

Plane S contains points B and E.

The line containing points A and B lies entirely in plane T.

Line v intersects lines x and y at the same point.

Line z intersects plane S at point E.

45.

The diagram shows several points and lines.

Which statements are true based on the diagram?

Points K, M, and N are collinear.

Points J, K, and Q are collinear.

Point R is the intersection of line KN and line MQ.

Lines JQ, KM, and MQ all intersect at point K.

46.

Which is another way to name UST?

< TSR

< TSU

< USR

< UTS

47.

Which line segment is drawn in the figure?

48.

Which point is located on ray PQ?

point M

point N

point O

point R

49.

What is the format of this proof?

Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle

two-column proof

two-paragraph proof

flowchart proof

one-paragraph proof

50.

Given: AB = BC

Prove: B is the midpoint of AC.

What is the format of this proof?

two-column proof

one-paragraph proof

flowchart proof

two-paragraph proof

51.

Which statement is true about the given information?

∠CED measures 45°.

∠CED measures 180°.

∠AEC measures 90°.

∠AEC measures 45°.

52.

Which part of the proof does the fourth statement and reason represent?

Given: AB ≅ BC BC ≅ EF

Prove: EG = AB + FG

It is part of the given information.

It is part of the argument.

It is the conclusion.

It is an assumption.

53.

Which statement must be true about the diagram?

Point K is a midpoint of JL.

m < JKN = $\frac{1}{2}$ m JKM

Ray KM is an angle bisector of NKL.

JK = KL

54.

Use the ruler to measure the length of to the nearest centimeter.

The length of is _ centimeters.

55.

Angle MON is a straight angle and OP bisects < MOQ.

What is the measure of MOP?

29°

58°

61°

122°

56.

In the diagram, mFLI is 106°, mFLG = (2x – 1)°,mGLH = (x + 17)°, and mHLI = (4x – 15)°.

What is the measure of the smallest angle in the diagram?

15°

29°

32°

45°

57.

A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?

T_1, –9(x, y)

T_–1, –9(x, y)

T_–9, 1(x, y)

T_–9, –1(x, y)

58.

Triangle EFG has vertices E(–3, 4), F(–5, –1), and G(1, 1). The triangle is translated so that the coordinates of the image are E’(–1, 0), F’(–3, –5), and G’(3, –3).

Which rule was used to translate the image?

T_{4, –4}(x, y)

T_{–4, –4}(x, y)

T_{2, –4}(x, y)

T_{–2, –4}(x, y)

59.

Which statement is true about trapezoid ABCD and its translated image, A'B'C'D'?

The rule for the translation can be written as T_{–3, 1}(x, y).

The rule for the translation can be written as T_{–1, 3}(x, y).

The rule for the translation can be written as(x, y) → (x + 1, y – 3).

Trapezoid ABCD has been translated 3 units to the right and 1 unit up.

60.

Rectangle A'B'C'D' is the image of rectangle ABCD after it has been translated according to the rule T_{–4, 3}(x, y).

Which point is a vertex of the pre-image, rectangle ABCD?

(–1, –2)

(–1, 7)

(7, -1)

(1, 1)

61.

Quinton tried to transform triangle FGH according to the rule (x, y) → (–y, x). Which best describes his attempt?

Correct. He transformed the triangle according to the rule (x, y) → (–y, x).

Incorrect. He transformed the triangle according to the rule (x, y) → (y, –x)

Incorrect. He transformed the triangle according to the rule (x, y) → (–y, –x)

Incorrect. He transformed the triangle according to the rule (x, y) → (–x, –y)

62.

Square PQRS is transformed as shown on the graph.

Which rule describes the transformation?

R_{0, 90°}

R_{0, 180°}

R_{0, 270°}

R_{0, 360°}

63.

Triangle QRS is transformed as shown on the graph.

Which rule describes the transformation?

R_{0, 90°}

R_{0, 180°}

R_{0, 270°}

R_{0, 360°}

64.

What is the rule for the reflection?

r_x_-axis(x, y) → (–x, y)

r_y_-axis(x, y) → (–x, y)

r_x_-axis(x, y) → (x, –y)

r_y_-axis(x, y) → (x, –y)

65.

A point has the coordinates (m, 0) and m ≠ 0.

Which reflection of the point will produce an image located at (0, –m)?

a reflection of the point across the x-axis

a reflection of the point across the y-axis

a reflection of the point across the line y = x

a reflection of the point across the line y = –x

66.

What are the coordinates of the image of vertex R after a reflection across the y-axis?

(–4, 3)

(4, –3)

(–3, –4)

(3, 4)

67.

Triangle XYZ with vertices X(0, 0), Y(0, –2), and Z(–2, –2) is rotated to create the image triangle X'(0, 0), Y'(2, 0), and Z'(2, –2).

Which rule could describe the rotation?

R_{0, 90°}

R_{0, 180°}

R_{0, 270°}

(x, y) → (y, –x)

68.

Which figure represents the image of trapezoid LMNP after a reflection across the x-axis?

figure A

figure B

figure C

figure D

69.

Polygon LMNOP was transformed to create polygon L'M'N'O'P'.

Which angle corresponds to < N?

< N'

< O

< O'

< P'

70.

Triangle ABC was transformed to create triangle DEF.

Which statement is true regarding the side in the image that corresponds to BA?

BC corresponds to BA because they are about the same length.

ED corresponds to BA because they are in the same position.

EF corresponds to BA because the transformation is isometric.

FD corresponds to BA because the length is not preserved.

71.

Triangle DEF was tranformed to create triangle D'E'F'. Complete the statement about the transformation.

Point F' corresponds to

point D.

point E'.

point F.

point E.

72.

A transformation of ΔDEF results in ΔD'E'F'.

Which transformation maps the pre-image to the image?

The transformation is a dilation.

The transformation is a reflection.

The transformation is a rotation.

The transformation is a translation.

73.

Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?

a reflection across line n followed by a translation down and to the right

a reflection across line n followed by a 270° rotation about point P

a translation down followed by a 270° rotation about point P

a translation down followed by a reflection across line n

74.

Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?

$T_{-6,\ -2}\circ r_{x-axis}\left(x,\ y\right)$

$r_{x-axis}\circ T_{-6,\ -2}\left(x,\ y\right)$

$T_{-6,\ -2}\circ R_{0,\ 90^{\circ}}\left(x,\ y\right)$

$R_{0,\ 90^{\circ}}\circ T_{-6,\ -2}\left(x,\ y\right)$

75.

Cedric applied the rule $r_m\circ R_{P,\ 90^{\circ\left(x,\ y\right)}}$ to figure WXYZ.

What mistake did he make?

He applied the reflection to the pre-image first.

He applied the rotation to the pre-image first.

He changed the size of the figure instead of just applying a rotation.

He used point P as the center of rotation.

76.

Which diagram has all the correct lines of reflectional symmetry for the rectangle?

77.

A regular decagon has 10 sides.

How many reflectional symmetries does a regular decagon have?

78.

Which statement describes the order of rotational symmetry for an isosceles triangle?

An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.

An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.

An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.

An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.

79.

What is the minimum angle of rotational symmetry for the quadrilateral shown below?

60°

90°

180°

360°

80.

Triangle RST is rotated 180° about the origin, and then translated up 3 units. Which congruency statement describes the figures?

ΔRST ≅ ΔACB

ΔRST ≅ ΔABC

ΔRST ≅ ΔBCA

ΔRST ≅ ΔBAC

81.

Which best explains whether or not triangles RST and ACB are congruent?

The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the x-axis and a translation 2 units to the left.

The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the y-axis and a translation 2 units down.

The figures are not congruent. Point R corresponds to point A, but S corresponds to B and T corresponds to C.

The figures are not congruent. Point R does not correspond with point A.

82.

Which best explains whether or not ΔABC ≅ ΔLMN?

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

The figures are not congruent because point B corresponds with point N and point C corresponds with point M.

The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.

83.

Which rigid transformation would map ΔABC to ΔABF?

a rotation about point A

a reflection across the line containing CB

a reflection across the line containing BA

a rotation about point B

84.

Which rigid transformation would map ABC to EDC?

a rotation about point B

a reflection across the line containing CB

a reflection across the line containing AC

a rotation about point C

85.

What are the rigid transformations that will map△ABC to △DEF?

Translate vertex A to vertex D, and then reflect△ABC across the line containing AC.

Translate vertex B to vertex D, and then rotate△ABC around point B to align the sides and angles.

Translate vertex B to vertex D, and then reflect△ABC across the line containing AC.

Translate vertex A to vertex D, and then rotate△ABC around point A to align the sides and angles.

86.

Given the function f(x) = −2x² + 4x − 7, find f(−4).

−55

−7

87.

What are the x-intercepts of the graph of the function f(x) = x² + 5x − 36?

(−4, 0) and (9, 0)

(4, 0) and (−9, 0)

(−3, 0) and (12, 0)

(3, 0) and (−12, 0)

88.

The graph of the function f(x) = −3x² − 3x + 6 is shown. Which statement describes the graph?

The vertex is the maximum value.

The range is all real numbers.

The function is decreasing from (−∞, 6.75).

The vertex is the minimum value.

89.

The graph of the function f(x) = (x + 2)(x − 4) is shown.

Which describes all of the values for which the graph is negative and increasing?

all real values of x where x < −2

all real values of x where −2 < x < 4

all real values of x where 1 < x < 4

all real values of x where x < 0

90.

The function f(x) = x² is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

g(x) = (x − 7)² − 3

g(x) = (x + 7)² − 3

g(x) = (x − 3)² − 7

g(x) = (x − 3)² + 7

91.

The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.

Which statement is true about the data?

The mean of Box A is greater than the mean of Box B.

The mean of Box B is greater than the mean of Box A.

The median of Box A is greater than the median of Box B.

The median of Box B is greater than the median of Box A.

92.

Which statement proves that PQRS is a parallelogram?

The slopes of SP and RQ are both –2 and SP = RQ = $\sqrt[]{45}$ .

The slopes of RS and QP are both 3 and SP = RQ = $\sqrt[]{45}$ .

The midpoint of RP is $\left(4,\ 5\ \frac{1}{2}\right)$ and the slope of RP is $-\frac{9}{2}$ .

The midpoint of SQ is $\left(4,\ 5\ \frac{1}{2}\right)$ and SQ = 5.

93.

What is the perimeter of kite KLMN?

$\sqrt[]{2}+\sqrt[]{5}$ units

$\sqrt[]{14}$ units

$2\sqrt[]{2}+2\sqrt[]{5}$ units

$4\sqrt[]{5}$ units

94.

What is the perimeter of parallelogram WXYZ?

$\sqrt[]{5}+\sqrt[]{17}$ units

$2\sqrt[]{5}+2\sqrt[]{17}$ units

16 units

22 units

95.

What is the perimeter of square ABCD?

$\sqrt[]{37}$ units

$4\sqrt[]{37}$ units

28 units

37 units

96.

Galina is finding the area of triangle RST. To do so, she follows the steps in the table.

To solve the problem using these steps, what are the dimensions of the rectangle she should draw?

$\sqrt[]{2}+\sqrt[]{5}$ units

$\sqrt[]{14}$ units

$2\sqrt[]{2}+2\sqrt[]{5}$ units

$4\sqrt[]{5}$ units

97.

How do the areas of the parallelograms compare?

The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.

The area of parallelogram 1 is equal to the area of parallelogram 2.

The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.

98.

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws.

Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU?

2 (18 + 4)

$\frac{1}{2}$ (18 + 4)

(18 + 4)

(18 - 4)

99.

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Using the equation for the line of best fit, what is a good approximation for x when f(x) = 30?

100.

Jace gathered the data in the table. He found the approximate line of best fit to be y = –0.7x + 2.36.

What is the residual value when x = 5?

–3.14

–0.86

0.86

3.14

101.

If a new data point at 12 is added to the graph, which will be true?

The mean will increase, and the median will stay the same.

The median will increase, and the mean will stay the same.

The mean will increase more than the median, but both will increase.

The median will increase more than the mean, but both will increase.

102.

Which is most likely the correlation coefficient for the set of data shown?

–0.83

–0.21

0.21

0.83

103.

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x² + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

When the water was 4 feet from the end of the hose, what was its height above the ground?

3.2 feet

4.8 feet

5.6 feet

6.8 feet

104.

The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. The survey was given to 120 male students and 180 female students.

How many students in the survey said that math was their favorite subject?

120

123

105.

The data set represents the number of minutes Dan spent on his homework each night.

30, 35, 35, 45, 46, 46, 52, 55, 57

Which box plot correctly represents the data?

106.

The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean.

What is the variance of the data set?

107.

f(x) = 2x – 1

g(x) = 7x – 12

What is h(x) = f(x) + g(x)?

h(x) = 9x – 13

h(x) = 9x – 12

h(x) = –5x + 11

h(x) = 5x – 13

108.

Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1.5% a year. Jack opens his account with $1,000, and Susie opens her account with $800.

x = number of years

The following functions represent the value of the savings accounts in x years:

Jack’s savings account: f(x) = 1000(1.015)^x

Susie’s savings account: g(x) = 800(1.015)^x

Which function represents the total amount Jack and Susie will save in x years?

200(1.015)^x

1800(1.015)^x

1800(1.015)²^x

1800(1.030)^x

109.

The number of rows in an auditorium can be represented by the function f(x) = 80x.

The number of seats in each row can be represented by the function g(x) = x + 7.

Which function represents the total number of seats, h(x) = f(x)g(x)?

h(x) = 136x

h(x) = 80x² + 560x

h(x) = 80x + 560

h(x) = 80x² + 560

110.

The dimensions of a triangle are represented by the functions shown.

Which function represents the area of the triangle, $g\left(x\right)=\frac{1}{2}f\left(x\right)h\left(x\right)$ ?

g(x) = 12x² + 6x

g(x) = 12x²– 6x

g(x) = 24x² – 12x

g(x) = 12x – 6

111.

The graph shows the function that defines the shape of a piece of playground equipment.

If both the x-axis and y-axis are measured in feet and the x-axis represents the ground, what is the width of the base of the piece of equipment?

8 ft

10 ft

16 ft

20 ft

112.

The table shows the trajectory of a pitch in baseball, where x represents the horizontal distance the ball travels in feet and f(x) represents the height of the ball in feet.

The pitcher releases the ball at the highest point in the curve, and the catcher is located at the y-axis. According to the table, how high is the ball when it reaches the catcher?

0 feet

2.5 feet

6.5 feet

56 feet

113.

A publicist is promoting a new record. The table below represents the plan for providing promo codes for free downloads of a single from the record, f(x), in tens of thousands of codes depending on the time since posting, x, in days.

Which is the correct interpretation of the x-intercepts of the function?

Their difference is the number of the most promo codes in a single day.

Their sum is the total number of days the number of codes increased.

Their sum is the total number of promo codes the publicist is releasing before the new record.

Their difference is the number of days the first promo codes were released before the new record.

114.

A plant food company recommends mixing a teaspoon of food with every gallon of water and only adding a teaspoon when the water level goes above the next whole gallon.

Which graph models the number of teaspoons of food depending on the amount of water?

115.

A composition of transformations maps ΔKLM to ΔK"L"M".

The first transformation for this composition is [________], and the second transformation is a translation down and to the right.

a 90° rotation about point L

a 270° rotation about point L

a 90° rotation about point P

a 270° rotation about point P

116.

Triangle ABC is rotated 45° about point X, resulting in triangle EFD.

If EF = 4.2 cm, DF = 3.6 cm, and DE = 4.5 cm, what is CB?

3.3 cm

3.6 cm

4.2 cm

4.5 cm

117.

How can ΔABC be mapped to ΔXYZ?

First, translate ____________________. Next, rotate ΔABC about B to align the sides and angles.

vertex B to vertex Z

vertex B to vertex Y

vertex A to vertex Z

vertex A to vertex Y

118.

HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.

(1,−1)

(1,1)

(1,0)

(0,1)

119.

In the diagram, WZ= $\sqrt[]{26}$ .

$2\sqrt[]{26}+2$ units

$2\sqrt[]{26}+4$ units

$2\sqrt[]{26}+6$ units

$2\sqrt[]{26}+8$ units

120.

What is the area of triangle RST?

6 square units

9 square units

12 square units

18 square units

121.

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)?

-8

-4

122.

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

112

121

123.

The data set represents the number of snails that each person counted on a walk after a rainstorm.

12, 13, 22, 16, 6, 10, 13, 14, 12

What is the outlier of the data?

124.

The graph represents a distribution of data.

What is the mean of the data?

100 %

Int 1 - Quarter 2 - Final Review

Total questions: 124

Worksheet time: 21hrs 40mins

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