SaiBook.us SAT-3

Quiz In Class

Title: Module-2

Grade: test-sat Lesson: S4-T2

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	The line graph shows the estimated number of chipmunks in a state park on April 1 of each year from 1989 to 1999. $1$ Based on the line graph, in which year was the estimated number of chipmunks in the state park the greatest?	A) 1994 B) 1989 C) 1995 D) 1998
2	A fish swam a distance of 5,104 yards. How far did the fish swim, in miles? (1 mile = 1,760 yards)	A) 0.3 B) 2.9 C) 3,344 D) 6,864
3	Which expression is equivalent to \$12x^3 - 5x^3\$?	A) \$7x^6\$ B) \$17x^3\$ C) \$7x^3\$ D) \$17x^6\$
4	\$ x + y = 18\$ \$ 5y = x\$ What is the solution ( x, y) to the given system of equations?	A) (16, 2) B) (17, 1) C) (18, 0) D) (15, 3)
5	The point (8, 2) in the xy-plane is a solution to which of the following systems of inequalities?	A) x > 0 y < 0 B) x < 0 y > 0 C) x > 0 y > 0 D) x < 0 y < 0
6	\$ \| x - 5 \| = 10\$ What is one possible solution to the given equation?	A) 20, 6 B) - 15, 5 C) - 15, - 5 D) 15, - 5
7	\$ f(x) = 7x + 1\$ The function gives the total number of people on a company retreat with x managers. What is the total number of people on a company retreat with 7 managers?	A) 60 B) 80 C) 50 D) 70
8	\$ h(x) = x^2 - 3\$ Which table gives three values of x and their corresponding values of h(x) for the given function h?	A) $8b$ B) $8a$ C) $8c$ D) $8d$
9	The function f is defined by \$f(x) = 270(0.1)^x\$. What is the value of f(0) ?	A) 0 B) 270 C) 1 D) 27
10	To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on the sample, it is estimated that the proportion of the population that has the characteristic is 0.49, with an associated margin of error of 0.04. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?	A) It is plausible that the proportion is less than 0.45. B) The proportion is exactly 0.49. C) It is plausible that the proportion is greater than 0.53. D) It is plausible that the proportion is between 0.45 and 0.53.
11	A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than 4,600 pounds. What is the maximum number of boxes this truck can tow in a trailer with a weight of 500 pounds if each box weighs 120 pounds?	A) 35 B) 39 C) 38 D) 34
12	\$ - 4x^2 - 7x = - 36\$ What is the positive solution to the given equation?	A) \$ 7/4\$ B) 4 C) \$9/4\$ D) 7
13	The table summarizes the distribution of color and shape for 100 tiles of equal area. $13$ If one of these tiles is selected at random, what is the probability of selecting a red tile? (Express your answer as a decimal or fraction, not as a percent.)	A) \$ 5, 2/9\$ B) \$ 2, 2/11\$ C) 0.2 D) \$ 3, 3/10\$
14	\$f(x) = 2x + 3\$ For the given function f, the graph of y = f(x) in the xy-plane is parallel to line j. What is the slope of line j ?	A) 2 B) 6 C) 5 D) 9
15	A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?	A) 15,000 B) 7,500 C) 22,500 D) 45,000
16	$16$ Note: Figure not drawn to scale. In the figure, lines m and n are parallel. If x = 6k + 13 and y = 8k − 29, what is the value of z?	A) 41 B) 3 C) 21 D) 139
17	\$ - 3x + 21px = 84\$ In the given equation, p is a constant. The equation has no solution. What is the value of p?	A) 0 B) \$1/7\$ C) \$4/3\$ D) 4
18	\$ f(x)= (x - 10)(x + 13)\$ The function f is defined by the given equation. For what value of x does f(x) reach its minimum?	A) - 130 B) - 13 C) \$ - 3/2\$ D) \$- (23)/2\$
19	The function \$ f(x) = 1/9(x - 7)^2 + 3\$ gives a metal ball’s height above the ground f(x), in inches, x seconds after it started moving on a track, where 0≤ x ≤ 10. Which of the following is the best interpretation of the vertex of the graph of y = f(x) in the xy-plane?	A) The metal ball’s minimum height was 3 inches above the ground. B) The metal ball’s minimum height was 7 inches above the ground. C) The metal ball’s height was 3 inches above the ground when it started moving. D) The metal ball’s height was 7 inches above the ground when it started moving.
20	In triangle JKL, \$cos(K) = 24/51\$ and angle J is a right angle. What is the value of cos(L)?	A) \$ 17/15\$ B) \$ 19/17\$ C) \$ 15/17\$ D) \$17/19\$
21	\$ - x^2 + bx - 676 = 0\$ In the given equation, b is a positive integer. The equation has no real solution. What is the greatest possible value of b ?	A) 55 B) 53 C) 51 D) 65
22	$22$ If a new graph of three linear equations is created using the system of equations shown and the equation x + 4y = −16, how many solutions (x, y) will the resulting system of three equations have?	A) Exactly one B) Exactly two C) Infinitely many D) Zero
23	\$f(x) = 5,470(0.64)^(x/(12))\$ The function f gives the value, in dollars, of a certain piece of equipment after x months of use. If the value of the equipment decreases each year by p% of its value the preceding year, what is the value of p ?	A) 4 B) 5 C) 36 D) 64
24	$24$ The dot plot represents the 15 values in data set A. Data set B is created by adding 56 to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?	A) The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A. B) The median of data set B is equal to the median of data set A, and the range of data set B is equal to the range of data set A. C) The median of data set B is equal to the median of data set A, and the range of data set B is greater than the range of data set A. D) The median of data set B is greater than the median of data set A, and the range of data set B is greater than the range of data set A.
25	The equation \$x^2 + (y - 1)^2 = 49\$ represents circle A. Circle B is obtained by shifting circle A down 2 units in the xy-plane. Which of the following equations represents circle B?	A) \$ x^2 + (y - 3)^2 = 49\$ B) \$ x^2 + (y + 1)^2 = 49\$ C) \$ (x - 2)^2 + (y - 1)^2 = 49\$ D) \$ (x + 2)^2 + (y - 1)^2 = 49\$
26	Two identical rectangular prisms each have a height of 90 centimeters (cm). The base of each prism is a square, and the surface area of each prism is \$K cm^2\$ . If the prisms are glued together along a square base, the resulting prism has a surface area of \$ 92/47 K cm^2\$. What is the side length, in cm, of each square base?	A) 4 B) 9 C) 16 D) 8
27	210 is p% greater than 30. What is the value of p?	A) 700 B) 600 C) 500 D) 650

Problem Id

Problem

Options

The line graph shows the estimated number of chipmunks in a state park on April 1 of each year from 1989 to 1999.

$1$

Based on the line graph, in which year was the estimated number of chipmunks in the state park the greatest?

A) 1994

B) 1989

C) 1995

D) 1998

A fish swam a distance of 5,104 yards. How far did the fish swim, in miles? (1 mile = 1,760 yards)

A) 0.3

B) 2.9

C) 3,344

D) 6,864

Which expression is equivalent to \$12x^3 - 5x^3\$?

A) \$7x^6\$

B) \$17x^3\$

C) \$7x^3\$

D) \$17x^6\$

\$ x + y = 18\$
\$ 5y = x\$
What is the solution ( x, y) to the given system of equations?

A) (16, 2)

B) (17, 1)

C) (18, 0)

D) (15, 3)

The point (8, 2) in the xy-plane is a solution to which of the following systems of inequalities?

A) x > 0 y < 0

B) x < 0 y > 0

C) x > 0 y > 0

D) x < 0 y < 0

\$ | x - 5 | = 10\$
What is one possible solution to the given equation?

A) 20, 6

B) - 15, 5

C) - 15, - 5

D) 15, - 5

\$ f(x) = 7x + 1\$
The function gives the total number of people on a company retreat with x managers. What is the total number of people on a company retreat with 7 managers?

A) 60

B) 80

C) 50

D) 70

\$ h(x) = x^2 - 3\$
Which table gives three values of x and their corresponding values of h(x) for the given function h?

A) $8b$

B) $8a$

C) $8c$

D) $8d$

The function f is defined by \$f(x) = 270(0.1)^x\$. What is the value of f(0) ?

A) 0

B) 270

C) 1

D) 27

To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on the sample, it is estimated that the proportion of the population that has the characteristic is 0.49, with an associated margin of error of 0.04. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?

A) It is plausible that the proportion is less than 0.45.

B) The proportion is exactly 0.49.

C) It is plausible that the proportion is greater than 0.53.

D) It is plausible that the proportion is between 0.45 and 0.53.

A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than 4,600 pounds. What is the maximum number of boxes this truck can tow in a trailer with a weight of 500 pounds if each box weighs 120 pounds?

A) 35

B) 39

C) 38

D) 34

\$ - 4x^2 - 7x = - 36\$
What is the positive solution to the given equation?

A) \$ 7/4\$

B) 4

C) \$9/4\$

D) 7

The table summarizes the distribution of color and shape for 100 tiles of equal area.

$13$

If one of these tiles is selected at random, what is the probability of selecting a red tile? (Express your answer as a decimal or fraction, not as a percent.)

A) \$ 5, 2/9\$

B) \$ 2, 2/11\$

C) 0.2

D) \$ 3, 3/10\$

\$f(x) = 2x + 3\$
For the given function f, the graph of y = f(x) in the xy-plane is parallel to line j. What is the slope of line j ?

A) 2

B) 6

C) 5

D) 9

A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?

A) 15,000

B) 7,500

C) 22,500

D) 45,000

$16$

Note: Figure not drawn to scale.

In the figure, lines m and n are parallel. If x = 6k + 13 and y = 8k − 29, what is the value of z?

A) 41

B) 3

C) 21

D) 139

\$ - 3x + 21px = 84\$
In the given equation, p is a constant. The equation has no solution. What is the value of p?

A) 0

B) \$1/7\$

C) \$4/3\$

D) 4

\$ f(x)= (x - 10)(x + 13)\$
The function f is defined by the given equation. For what value of x does f(x) reach its minimum?

A) - 130

B) - 13

C) \$ - 3/2\$

D) \$- (23)/2\$

The function \$ f(x) = 1/9(x - 7)^2 + 3\$ gives a metal ball’s height above the ground f(x), in inches, x seconds after it started moving on a track, where 0≤ x ≤ 10. Which of the following is the best interpretation of the vertex of the graph of y = f(x) in the xy-plane?

A) The metal ball’s minimum height was 3 inches above the ground.

B) The metal ball’s minimum height was 7 inches above the ground.

C) The metal ball’s height was 3 inches above the ground when it started moving.

D) The metal ball’s height was 7 inches above the ground when it started moving.

In triangle JKL, \$cos(K) = 24/51\$ and angle J is a right angle. What is the value of cos(L)?

A) \$ 17/15\$

B) \$ 19/17\$

C) \$ 15/17\$

D) \$17/19\$

\$ - x^2 + bx - 676 = 0\$
In the given equation, b is a positive integer. The equation has no real solution. What is the greatest possible value of b ?

A) 55

B) 53

C) 51

D) 65

$22$

If a new graph of three linear equations is created using the system of equations shown and the equation x + 4y = −16, how many solutions (x, y) will the resulting system of three equations have?

A) Exactly one

B) Exactly two

C) Infinitely many

D) Zero

\$f(x) = 5,470(0.64)^(x/(12))\$
The function f gives the value, in dollars, of a certain piece of equipment after x months of use. If the value of the equipment decreases each year by p% of its value the preceding year, what is the value of p ?

A) 4

B) 5

C) 36

D) 64

$24$

The dot plot represents the 15 values in data set A. Data set B is created by adding 56 to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?

A) The median of data set B is greater than the median of data set A, and the range of data set B is equal to the range of data set A.

B) The median of data set B is equal to the median of data set A, and the range of data set B is equal to the range of data set A.

C) The median of data set B is equal to the median of data set A, and the range of data set B is greater than the range of data set A.

D) The median of data set B is greater than the median of data set A, and the range of data set B is greater than the range of data set A.

The equation \$x^2 + (y - 1)^2 = 49\$ represents circle A. Circle B is obtained by shifting circle A down 2 units in the xy-plane. Which of the following equations represents circle B?

A) \$ x^2 + (y - 3)^2 = 49\$

B) \$ x^2 + (y + 1)^2 = 49\$

C) \$ (x - 2)^2 + (y - 1)^2 = 49\$

D) \$ (x + 2)^2 + (y - 1)^2 = 49\$

Two identical rectangular prisms each have a height of 90 centimeters (cm). The base of each prism is a square, and the surface area of each prism is \$K cm^2\$ . If the prisms are glued together along a square base, the resulting prism has a surface area of \$ 92/47 K cm^2\$. What is the side length, in cm, of each square base?

A) 4

B) 9

C) 16

D) 8

210 is p% greater than 30. What is the value of p?

A) 700

B) 600

C) 500

D) 650