Question 1

Four students are each trying to raise the same amount of money for a class trip. The table below shows how much of each student’s goal has been met. Which list shows the numbers in the table in order from least to greatest?

Accepted Answer

5/8  , 65%, 2/3, 0.7

Answer

0.7, 65%, 5/8, 2/3

Answer

5/8, 2/3, 65%, 0.7

Answer

0.7, 5/8, 65%, 2/3

Question 2

Which graph shows a proportional relationship between x and y?

Accepted Answer

#texas/4876ccaa-c493-486a-ad31-ede91c8ef9b3/A.png

Answer

#texas/4876ccaa-c493-486a-ad31-ede91c8ef9b3/D.png

Answer

#texas/4876ccaa-c493-486a-ad31-ede91c8ef9b3/C.png

Answer

#texas/4876ccaa-c493-486a-ad31-ede91c8ef9b3/B.png

Question 3

Point M is located at (4, 6) on a coordinate grid. Point M is translated 8 units to the left and 9 units down to create point M′. Which measurement is closest to the distance between point M and point M′ in units?

Accepted Answer

12 units

Answer

4 units

Answer

9 units

Answer

17 units

Question 4

Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not make any additional deposits or withdrawals. How much interest will Tamara earn on her investment at the end of 3 years?

Accepted Answer

$1,800

Answer

$450

Answer

$600

Answer

$1,873

Question 5

An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled. Which statement best describes the rate of change for this situation?

Accepted Answer

The height of the water increases 2.5 inches per second.

Answer

The height of the water increases 20 inches per second.

Answer

The height of the water increases 5 inches per second.

Answer

The height of the water increases 1 inch per second.

Question 6

In the diagram a person who is 6 ft tall is standing on the ground 3 ft away from point P. A line segment drawn from the top corner of the building to point P creates two similar triangles. Which proportion can be used to find h, the height of the building in feet?

Accepted Answer

6/3 = h/18

Answer

3/h = 18/6

Answer

3/15 = h/6

Question 7

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?

Accepted Answer

25

Answer

10

Answer

50

Answer

75

Question 8

The coordinate grid shows parallelogram PQRS. Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram PQRS′.
Which rule describes this transformation?

Accepted Answer

(x , y)→ ( y,-x)

Answer

(x , y)→ ( x, -y)

Answer

(x , y)→ ( y,x)

Answer

(x , y)→ ( -x, y)

Question 9

The value of y varies directly with x. When  y= 75, x =$\frac{1}{2}$. What is the value of y when x is $2	frac{1}{4}$ ?

Accepted Answer

$337	frac{1}{2}$

Answer

$16	frac{2}{3}$

Answer

$84	frac{3}{8}$

Answer

$168	frac{3}{4}$

Question 10

A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square centimeters?

Accepted Answer

144 cm$^2$

Answer

192 cm$^2$

Answer

128 cm$^2$

Answer

152 cm$^2$

Question 11

Julie made 25 international long-distance phone calls to London last month. The scatterplot below shows the length and cost of each phone call she made. Which conclusion is best supported by the scatterplot?

Accepted Answer

As the length of a call increases, the cost of the call remains the same.

Answer

As the length of a call increases, the cost of the call increases.

Answer

As the length of a call increases, the cost of the call decreases.

Answer

There is no relationship between the length of a call and the cost of a call.

Question 12

What are the slope and the y-intercept of the graph of the linear function shown on the grid?

Accepted Answer

Slope= -1/4, y-intercept =-1.5

Answer

Slope = -4, y-intercept = -1.5

Answer

Slope = 4, y-intercept = -6

Answer

Slope= 1/4 = , y-intercept = -6

Question 13

A preschool has a rectangular field and a rectangular playground that are similar in shape. Each dimension of the field is 3.2 times the corresponding dimension of the playground. Which statement is true?

Accepted Answer

The area of the field is 10.24 times the area of the playground.

Answer

The area of the field is 6.4 times the area of the playground.

Answer

The perimeter of the field is 10.24 times the perimeter of the playground.

Answer

The perimeter of the field is 6.4 times the perimeter of the playground.

Question 14

Which function is best represented by this graph?

Accepted Answer

y = -$\frac{1}{2}$x + 3

Answer

y = $\frac{1}{2}$x + 6

Answer

y = -2x + 3

Answer

y = 2x + 6

Question 15

The set designer for a play painted some background scenery on a large piece of plywood. He used a 13-foot-long pole to hold the piece of plywood upright, as shown in the diagram below. What is h, the total height in feet of the piece of plywood?
Be sure to use the correct place value.

Accepted Answer

14

Question 16

Which table contains only corresponding x-values and y-values where the value of y is 3 more than the quotient of x and 2?

Accepted Answer

#texas/b0357696-f276-416b-94ab-742c141ba80e/B.png

Answer

#texas/b0357696-f276-416b-94ab-742c141ba80e/A.png

Answer

#texas/b0357696-f276-416b-94ab-742c141ba80e/D.png

Answer

#texas/b0357696-f276-416b-94ab-742c141ba80e/C.png

Question 17

A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters?

Accepted Answer

82.45 cm$^3$

Answer

33.93 cm$^3$

Answer

46.38 cm$^3$

Answer

122.15 cm$^3$

Question 18

Alejandra and her family are discussing how to pay for her college education. The cost of tuition at the college that Alejandra wants to attend is $9,000 per year. Alejandra’s parents will pay 85% of the tuition cost every year, and she will pay the rest. Alejandra has one year to save enough money to attend her first year of college. What is the minimum amount of money she should save every month in order to reach her goal?

Accepted Answer

$112.50

Answer

$1,350.00

Answer

$28.12

Answer

$637.50

Question 19

The coordinates of the vertices of a quadrilateral are 
P (1, 2), R (1, 4), S (3, 4), and T (4, 2)
Quadrilateral PRST is reflected across the y-axis to create quadrilateral P'R'S'T' Which rule describes this transformation?

Accepted Answer

(x , y)→ ( -x, y)

Answer

(x , y)→ ( y,-x)

Answer

(x , y)→ ( x, -y)

Answer

(x , y)→ ( -y,x)

Question 20

Which situation represents a proportional relationship?

Accepted Answer

The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound

Answer

The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket

Answer

The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00

Answer

The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost

Question 21

Jamie used a microscope to measure the diameter of a hair. She found that the diameter of the hair was 0.000072 meter. How is this number written in scientific notation?

Accepted Answer

7.2 × $10^{-5}$

Answer

7.2 × $10^5$

Answer

7.2 × $10^{-6}$

Answer

7.2 × $10^6$

Question 22

Triangles PQR and RST are similar right triangles.

Accepted Answer

#texas/0a0703f7-2fed-422f-9cfd-279d6b55bbd5/A.png

Answer

#texas/0a0703f7-2fed-422f-9cfd-279d6b55bbd5/B.png

Answer

#texas/0a0703f7-2fed-422f-9cfd-279d6b55bbd5/D.png

Answer

#texas/0a0703f7-2fed-422f-9cfd-279d6b55bbd5/C.png

Question 23

The scatterplot shows the average number of hours each of 13 people spends at work every week and the average number of hours each of them spends on recreational activities every week. Based on the scatterplot, what is the best prediction of the average number of hours a person spends at work every week if that person spends an average of 10 hours on recreational activities every week?

Accepted Answer

65 h

Answer

50 h

Answer

33 h

Answer

85 h

Question 24

Four triangles are shown. Based on these triangles, which statement is true?

Accepted Answer

w = 105°, because 180 -(45 + 60) = 75 and 180 -75 = 105

Answer

w = 75°, because 45 + 60 = 105 and 180 -105 = 75

Answer

w = 165°, because 180 - 60 = 120 and 120 + 45 = 165

Answer

w = 285°, because 45 + 60 = 105 and 105 + 180 = 285

Question 25

Which set of ordered pairs represents y as a function of x?

Accepted Answer

{(2, -1), (4, -2), (6, -3), (8, -4)}

Answer

{(0, 0), (1, 1), (1, 0), (2, 1)}

Answer

{(3, 3), (3, 4), (4, 3), (4, 4)}

Answer

{(1, -5), (1, 5), (2, -10), (2, -15)}

Question 26

Circle I was dilated with the origin as the center of dilation to create Circle II. Which rule best represents the dilation applied to Circle I to create Circle II?

Accepted Answer

( x, y) →($\frac{8}{3}$x, $\frac{8}{3}$y)

Answer

( x, y) → (x + 5, y + 5)

Answer

( x, y) → (x - 5, y - 5)

Answer

( x, y) →($\frac{3}{8}$ x, $\frac{3}{8}$y)

Question 27

The manager of a restaurant recorded how many people were in different groups of customers and how much those groups spent on food and beverages. The scatterplot below shows the data she recorded. Based on this scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?

Accepted Answer

$135

Answer

$115

Answer

$105

Answer

$150

Question 28

Which statement describes the mapping?

Accepted Answer

The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.

Answer

The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.

Answer

The mapping does not represent y as a function of x, because two of the x-values correspond to the same y-value.

Answer

The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.

Question 29

A cylinder and its dimensions are shown below. One equation for calculating the volume of a cylinder is V = B , where B represents the area of the base of the cylinder. Which expression can be used to find the value of B, in square centimeters, for this cylinder?

Accepted Answer

π(12.1)$^2$

Answer

2π(12.1)

Answer

π(3.8)$^2$

Answer

None of these

Question 30

Three groups of students used different methods to estimate the diagonal length of a patio in feet. Their results were:
4√13 ft
$14	frac{2}{5}$ ft
14.33 ft
Which list shows these diagonal lengths in order from greatest to least?

Accepted Answer

4√13, $14	frac{2}{5}$, 14.33

Answer

14.33, $14	frac{2}{5}$, 4√13

Answer

14.33, 4√13, $14	frac{2}{5}$

Answer

$14	frac{2}{5}$, 14.33, 4√13

Question 31

The model represents an equation. What value of x makes the equation true? Be sure to use the correct place value.

Accepted Answer

2.25

Question 32

The diagram below shows the side view of a ramp used to help load and unload a moving van. Which measurement is closest to the length of the ramp in feet?

Accepted Answer

9.5 ft

Answer

10.5 ft

Answer

8.5 ft

Answer

13.5 ft

Question 33

Which representation of a transformation on a coordinate grid does not preserve congruence?

Accepted Answer

(x , y)→ ( 1/7x, 1/7y)

Answer

(x , y)→ ( y,-x)

Answer

(x , y)→ (x,-y)

Answer

(x, y ) → (x + 7,y + 7)

Question 34

A tree in Dante’s neighborhood grew 18 inches in the first 2 years after it was planted. If the tree continues to grow at this same rate, which graph best represents the growth rate of the tree in inches per year?

Accepted Answer

#texas/99236d09-5053-4c4b-aed7-37ca56ba8004/B.png

Answer

#texas/99236d09-5053-4c4b-aed7-37ca56ba8004/A.png

Answer

#texas/99236d09-5053-4c4b-aed7-37ca56ba8004/D.png

Answer

#texas/99236d09-5053-4c4b-aed7-37ca56ba8004/C.png

Question 35

An artist joined three square regions at their vertices to create the figure shown in the diagram. The artist will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, which statement is true?

Accepted Answer

The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y.

Answer

The number of tiles needed to cover Region Y is the same as the number of tiles needed to cover both Region X and Region Z.

Answer

None of these

Answer

The number of tiles needed to cover Region X is the same as the number of tiles needed to cover both Region Y and Region Z.

Question 36

Mr. Leonard is renting a car for one day. The table below shows the total amount he will be charged for the car based on the number of miles he drives. Which equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles?

Accepted Answer

c = 0.10m + 30

Answer

c = 30m + 0.10

Answer

c = 30m + 0.50

Answer

c = 0.50m + 30

Question 37

Which list shows the numbers below in order from least to greatest? 
5.78, -5.9, 58%, -$\frac{23}{4}$

Accepted Answer

-5.9,-23/4 , 58%, 5.78

Answer

58%, -$\frac{23}{4}$, 5.78, -5.9

Answer

-5.9, -$\frac{23}{4}$, 5.78, 58%

Answer

-$\frac{23}{4}$, -5.9, 58%, 5.78

Question 38

A storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet?

Accepted Answer

1,335 ft$^3$

Answer

691 ft$^3 $

Answer

534 ft$^3 $

Answer

1,696 ft$^3 $

Question 39

The graph of a linear function is shown on the coordinate grid. What is the y-intercept of the graph of the linear function? Be sure to use the correct place value.

Accepted Answer

-6

Question 40

Triangle ABC was translated 2 units to the right and 3 units down. Which rule describes the translation that was applied to triangle ABC to create triangle A'B'C′?

Accepted Answer

(x ,y ) → (x +2, y -3)

Answer

(x ,y ) → (- 3x, 2y )

Answer

(x ,y ) → (2x, - 3y )

Answer

(x ,y ) → (x - 3, y + 2)

Question 41

Nicolas has $650 to deposit into two different savings accounts.
• Nicolas will deposit $400 into Account I, which earns 3.5% annual simple interest.
• He will deposit $250 into Account II, which earns 3.25 %  interest compounded annually.
Nicolas will not make any additional deposits or withdrawals. Which amount is closest to the total balance of these two accounts at the end of 2 years?

Accepted Answer

$694.51

Answer

$694.25

Answer

$695.00

Answer

$672.13

Question 42

On a field trip, there are 3 adults for every 45 students. Which graph models a relationship with the same unit rate?

Accepted Answer

#texas/b4f9bbef-251e-418f-8ad8-9cbd6da80a1d/C.png

Answer

#texas/b4f9bbef-251e-418f-8ad8-9cbd6da80a1d/A.png

Answer

#texas/b4f9bbef-251e-418f-8ad8-9cbd6da80a1d/D.png

Answer

#texas/b4f9bbef-251e-418f-8ad8-9cbd6da80a1d/B.png

Question 43

Pentagon ABCDE is rotated 180° clockwise about the origin to form pentagon A'B'C'D'E'. Which statement is true?

Accepted Answer

Pentagon ABCDE is congruent to pentagon A'B'C'D'E'

Answer

Each side length of pentagon A'B'C'D'E' is 2 times the corresponding side length of pentagon ABCDE.

Answer

Each side length of pentagon A'B'C'D'E' is 1/2 the corresponding side length of pentagon ABCDE.

Answer

The sum of the angle measures of pentagon A'B'C'D'E' is 180° more than the sum of the angle measures of pentagon ABCDE.

Question 44

The measures of two angles are 
(5x + 24)° and (9x - 17)°.
What is the value of x if these angles are congruent?

Accepted Answer

10.25

Answer

0.5

Answer

13.2

Answer

1.75

Question 45

A rectangular prism and its dimensions are shown in the diagram. What is the total surface area of this rectangular prism in square inches? Be sure to use the correct place value.

Accepted Answer

102.16

Question 46

The scatterplot shows the number of hours that 12 people spent learning to type on a keyboard and each person’s average typing speed.Based on the scatterplot, what is the best prediction of a person’s average typing speed in words per minute (wpm) if the person has spent 70 hours learning to type?

Accepted Answer

85 wpm

Answer

100 wpm

Answer

100 wpm

Answer

70 wpm

Question 47

Carolyn will buy the same number of stamps every month to add to a stamp collection her grandfather gave her. The table shows the number of stamps Carolyn will have at the end of x months. How many stamps was Carolyn given, and how many stamps will she buy every month?

Accepted Answer

Carolyn was given 200 stamps, and she will buy 50 stamps every month.

Answer

Carolyn was given 200 stamps, and she will buy 70 stamps every month.

Answer

Carolyn was given 180 stamps, and she will buy 50 stamps every month.

Answer

Carolyn was given 180 stamps, and she will buy 70 stamps every month.

Question 48

Which point on the number line best represents the location of √92?

Accepted Answer

Point P

Answer

Point Q

Answer

Point N

Answer

Point M

Question 49

The list shows the number of songs that five students each downloaded last week. 32, 43, 38, 28, 51 . What is the mean absolute deviation of the numbers in the list?

Accepted Answer

6.88

Answer

7.68

Answer

38.4

Answer

34.4

Question 50

The graph models the linear relationship between the charge for a trip and the number of miles driven for two taxis. Based on the graph, which statement appears to be true?

Accepted Answer

The charge for a trip with a distance of 5 miles is $20 for both Taxi 1 and Taxi 2

Answer

The charge for a trip with a distance of 5 miles is $5 greater for Taxi 1 than for Taxi 2.

Answer

The charge for a trip with a distance of 5 miles is $5 less for Taxi 1 than for Taxi 2.

Answer

The charge for a trip with a distance of 5 miles cannot be determined for either Taxi 1 or Taxi 2.

Question 51

Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow. Which rule best represents the dilation that was applied to Figure S to create Figure T?

Accepted Answer

(x ,y ) → (2x , 2y )

Answer

(x ,y ) → ($\frac{1}{4}$ x , $\frac{1}{4}$ y )

Answer

(x ,y ) → ($\frac{1}{2}$x ,$\frac{1}{2}$y )

Answer

(x ,y ) → (4x , 4y )

Question 52

Veronica is ordering trophies for her school. Company P charges $3.50 for each trophy and a one-time engraving fee of $25. Company R charges $7.50 for each trophy and a one-time engraving fee of $17. Which inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at Company P is less than the total charge at Company R?

Accepted Answer

3.5x + 25 < 7.5x + 17

Answer

3.5 + 25x < 7.5 + 17x

Answer

3.5x + 25 > 7.5x + 17

Answer

3.5 + 25x > 7.5 + 17x

Question 53

Which scatterplot suggests a linear relationship between x and y?

Accepted Answer

#texas/d35e3cec-1c15-4524-9c25-f0a705e06db2/B.png

Answer

#texas/d35e3cec-1c15-4524-9c25-f0a705e06db2/D.png

Answer

#texas/d35e3cec-1c15-4524-9c25-f0a705e06db2/A.png

Answer

#texas/d35e3cec-1c15-4524-9c25-f0a705e06db2/C.png

Question 54

Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid off. Which equation represents the relationship between m, the number of monthly payments Frankie has made, and t, the total amount that Frankie has paid the store?

Accepted Answer

t= 30m + 50

Answer

t = 50m - 30

Answer

t= 50m + 30

Answer

t = 30m - 50

Question 55

A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram. Which measurement is closest to the volume of the party hat in cubic inches?

Accepted Answer

84.82 in.$^3$

Answer

254.47 in.$^3$

Answer

339.29 in.$^3$

Answer

1,017.88 in.$^3$

Question 56

Which graph represents y as a function of x?

Accepted Answer

#texas/6912142c-bdf4-491c-9ff9-55b2167125cd/B.png

Answer

#texas/6912142c-bdf4-491c-9ff9-55b2167125cd/D.png

Answer

#texas/6912142c-bdf4-491c-9ff9-55b2167125cd/A.png

Answer

#texas/6912142c-bdf4-491c-9ff9-55b2167125cd/C.png

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