SaiBook.us SAT-3

Quiz In Class

Title: Module-2

Grade: test-sat Lesson: S3-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	Isabel grows potatoes in her garden. This year, she harvested 760 potatoes and saved 10% of them to plant next year. How many of the harvested potatoes did Isabel save to plant next year?	A) 66 B) 76 C) 84 D) 86
2	$2$ What is the y-intercept of the graph shown?	A) (0, 2) B) (0, 0) C) (2, 2) D) (2, 0)
3	What length, in centimeters, is equivalent to a length of 51 meters? (1 meter = 100 centimeters)	A) 0.51 B) 0.051 C) 51000 D) 5100
4	A bus is traveling at a constant speed along a straight portion of road. The equation d = 30t gives the distance d, in feet from a road marker, that the bus will be t seconds after passing the marker. How many feet from the marker will the bus be 2 seconds after passing the marker?	A) 30 B) 60 C) 32 D) 90
5	Which expression is equivalent to 20w − (4w + 3w)?	A) 10w B) 19w C) 21w D) 13w
6	If 6 + x = 9, what is the value of 18 + 3x ?	A) 20 B) 27 C) 32 D) 50
7	\$y = x^2 - 14x + 22\$ The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?	A) 5 B) 8 C) 3 D) 7
8	Which expression is equivalent to \$9x^2 + 5x\$?	A) \$ 5x(9x + 1)\$ B) \$x(9x + 5)\$ C) \$9x(x + 5)\$ D) \$ x^2(9x + 5)\$
9	In triangle ABC , the measure of angle B is 52° and the measure of angle C is 17°. What is the measure of angle A ?	A) 111° B) 35° C) 69° D) 21°
10	\$ x = 8\$ \$ y = x^2 + 8\$ The graphs of the equations in the given system of equations intersect at the point (x, y) in the xy-plane. What is the value of y ?	A) 8 B) 72 C) 64 D) 24
11	The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown. $11$	A) y = 13.5 + 0.8x B) y = 13.5 - 0.8x C) y = - 13.5 + 0.8x D) y = - 13.5 - 0.8x
12	The function f is defined by \$ f(x) = 8\sqrtx\$. For what value of x does f(x) = 48?	A) 6 B) 8 C) 64 D) 36
13	A circle has center O, and points R and S lie on the circle. In triangle ORS, the measure of ∠ROS is 88°. What is the measure of ∠RSO, in degrees?	A) 38 B) 46 C) 24 D) 16
14	\$ x(x + 1) - 56 = 4x(x - 7)\$ What is the sum of the solutions to the given equation?	A) \$31/3\$ B) \$ 29/3\$ C) \$ 23/2\$ D) \$ 13/2\$
15	\$ y = 3x\$ \$ 2x + y = 12\$ The solution to the given system of equations is ( x, y). What is the value of 5x ?	A) 12 B) 24 C) 15 D) 5
16	A cube has an edge length of 41 inches. What is the volume, in cubic inches, of the cube?	A) 164 B) 68,921 C) 1,681 D) 10,086
17	\$p(t) = 90,000(1.06)^t\$ The given function p models the population of Lowell t years after a census. Which of the following functions best models the population of Lowell m months after the census?	A) \$r(m) = 90,000(1.06)^(m/(12))\$ B) \$r(m) = (90,000)/(12) (1.06)^(m)\$ C) \$r(m) = (90,000)((1.06)/(12))^(m/(12))\$ D) \$r(m) = (90,000)((1.06)/(12))^(m)\$
18	\$ 6x + 7y = 28\$ \$2x + 2y = 10\$ The solution to the given system of equations is (x, y). What is the value of y ?	A) 7 B) 14 C) 18 D) - 2
19	The minimum value of x is 12 less than 6 times another number n. Which inequality shows the possible values of x ?	A) x ≤ 6n − 12 B) x ≥ 6n − 12 C) x ≤ 12 − 6n D) x ≥ 12 − 6n
20	Data set A consists of the heights of 75 buildings and has a mean of 32 meters. Data set B consists of the heights of 50 buildings and has a mean of 62 meters. Data set C consists of the heights of the 125 buildings from data sets A and B. What is the mean, in meters, of data set C?	A) 52 B) 68 C) 44 D) 32
21	The graph of 9x − 10y = 19 is translated down 4 units in the xy-plane. What is the x-coordinate of the x-intercept of the resulting graph?	A) 5.556 B) 5.321 C) 6.122 D) 6.556
22	Two variables, x and y, are related such that for each increase of 1 in the value of x, the value of y increases by a factor of 4. When x = 0, y = 200. Which equation represents this relationship?	A) \$y = 4(x)^(200) \$ B) \$y = 200(4)^x \$ C) \$y = 4(200)^x \$ D) \$y = 200(x)^4 \$
23	\$x^2 - 2x - 9 = 0\$ One solution to the given equation can be written as \$1 + \sqrtk\$, where k is a constant. What is the value of k?	A) 20 B) 40 C) 8 D) 10
24	The dot plots represent the distributions of values in data sets A and B. $24$ Which of the following statements must be true? I. The median of data set A is equal to the median of data set B. II. The standard deviation of data set A is equal to the standard deviation of data set B.	A) II only B) I only C) I and II D) Neither I nor II
25	An isosceles right triangle has a perimeter of \$94 + 94\sqrt2\$ inches. What is the length, in inches, of one leg of this triangle?	A) \$ 47\sqrt2\$ B) 47 C) 94 D) \$ 94\sqrt2\$
26	\$ - 9x^2 + 30x + c = 0\$ In the given equation, c is a constant. The equation has exactly one solution. What is the value of c ?	A) 0 B) - 25 C) 3 D) - 53
27	\$ 3/2 y - 1/4 x = 2/3 - 3/2 y\$ \$ 1/2 x + 3/2 = py + 9/2\$ In the given system of equations, p is a constant. If the system has no solution, what is the value of p ?	A) 7 B) 3 C) 6 D) 5

Problem Id

Problem

Options

Isabel grows potatoes in her garden. This year, she harvested 760 potatoes and saved 10% of them to plant next year. How many of the harvested potatoes did Isabel save to plant next year?

A) 66

B) 76

C) 84

D) 86

$2$

What is the y-intercept of the graph shown?

A) (0, 2)

B) (0, 0)

C) (2, 2)

D) (2, 0)

What length, in centimeters, is equivalent to a length of 51 meters? (1 meter = 100 centimeters)

A) 0.51

B) 0.051

C) 51000

D) 5100

A bus is traveling at a constant speed along a straight portion of road. The equation d = 30t gives the distance d, in feet from a road marker, that the bus will be t seconds after passing the marker. How many feet from the marker will the bus be 2 seconds after passing the marker?

A) 30

B) 60

C) 32

D) 90

Which expression is equivalent to 20w − (4w + 3w)?

A) 10w

B) 19w

C) 21w

D) 13w

If 6 + x = 9, what is the value of 18 + 3x ?

A) 20

B) 27

C) 32

D) 50

\$y = x^2 - 14x + 22\$
The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?

A) 5

B) 8

C) 3

D) 7

Which expression is equivalent to \$9x^2 + 5x\$?

A) \$ 5x(9x + 1)\$

B) \$x(9x + 5)\$

C) \$9x(x + 5)\$

D) \$ x^2(9x + 5)\$

In triangle ABC , the measure of angle B is 52° and the measure of angle C is 17°. What is the measure of angle A ?

A) 111°

B) 35°

C) 69°

D) 21°

\$ x = 8\$
\$ y = x^2 + 8\$
The graphs of the equations in the given system of equations intersect at the point (x, y) in the xy-plane. What is the value of y ?

A) 8

B) 72

C) 64

D) 24

The scatterplot shows the relationship between two variables, x and y. A line of best fit is also shown.

$11$

A) y = 13.5 + 0.8x

B) y = 13.5 - 0.8x

C) y = - 13.5 + 0.8x

D) y = - 13.5 - 0.8x

The function f is defined by \$ f(x) = 8\sqrtx\$. For what value of x does f(x) = 48?

A) 6

B) 8

C) 64

D) 36

A circle has center O, and points R and S lie on the circle. In triangle ORS, the measure of ∠ROS is 88°. What is the measure of ∠RSO, in degrees?

A) 38

B) 46

C) 24

D) 16

\$ x(x + 1) - 56 = 4x(x - 7)\$
What is the sum of the solutions to the given equation?

A) \$31/3\$

B) \$ 29/3\$

C) \$ 23/2\$

D) \$ 13/2\$

\$ y = 3x\$
\$ 2x + y = 12\$
The solution to the given system of equations is ( x, y). What is the value of 5x ?

A) 12

B) 24

C) 15

D) 5

A cube has an edge length of 41 inches. What is the volume, in cubic inches, of the cube?

A) 164

B) 68,921

C) 1,681

D) 10,086

\$p(t) = 90,000(1.06)^t\$
The given function p models the population of Lowell t years after a census. Which of the following functions best models the population of Lowell m months after the census?

A) \$r(m) = 90,000(1.06)^(m/(12))\$

B) \$r(m) = (90,000)/(12) (1.06)^(m)\$

C) \$r(m) = (90,000)((1.06)/(12))^(m/(12))\$

D) \$r(m) = (90,000)((1.06)/(12))^(m)\$

\$ 6x + 7y = 28\$
\$2x + 2y = 10\$
The solution to the given system of equations is (x, y). What is the value of y ?

A) 7

B) 14

C) 18

D) - 2

The minimum value of x is 12 less than 6 times another number n. Which inequality shows the possible values of x ?

A) x ≤ 6n − 12

B) x ≥ 6n − 12

C) x ≤ 12 − 6n

D) x ≥ 12 − 6n

Data set A consists of the heights of 75 buildings and has a mean of 32 meters. Data set B consists of the heights of 50 buildings and has a mean of 62 meters. Data set C consists of the heights of the 125 buildings from data sets A and B. What is the mean, in meters, of data set C?

A) 52

B) 68

C) 44

D) 32

The graph of 9x − 10y = 19 is translated down 4 units in the xy-plane. What is the x-coordinate of the x-intercept of the resulting graph?

A) 5.556

B) 5.321

C) 6.122

D) 6.556

Two variables, x and y, are related such that for each increase of 1 in the value of x, the value of y increases by a factor of 4. When x = 0, y = 200. Which equation represents this relationship?

A) \$y = 4(x)^(200) \$

B) \$y = 200(4)^x \$

C) \$y = 4(200)^x \$

D) \$y = 200(x)^4 \$

\$x^2 - 2x - 9 = 0\$
One solution to the given equation can be written as \$1 + \sqrtk\$, where k is a constant. What is the value of k?

A) 20

B) 40

C) 8

D) 10

The dot plots represent the distributions of values in data sets A and B.

$24$

Which of the following statements must be true? I. The median of data set A is equal to the median of data set B. II. The standard deviation of data set A is equal to the standard deviation of data set B.

A) II only

B) I only

C) I and II

D) Neither I nor II

An isosceles right triangle has a perimeter of \$94 + 94\sqrt2\$ inches. What is the length, in inches, of one leg of this triangle?

A) \$ 47\sqrt2\$

B) 47

C) 94

D) \$ 94\sqrt2\$

\$ - 9x^2 + 30x + c = 0\$
In the given equation, c is a constant. The equation has exactly one solution. What is the value of c ?

A) 0

B) - 25

C) 3

D) - 53

\$ 3/2 y - 1/4 x = 2/3 - 3/2 y\$
\$ 1/2 x + 3/2 = py + 9/2\$
In the given system of equations, p is a constant. If the system has no solution, what is the value of p ?

A) 7

B) 3

C) 6

D) 5