AnswersMAT311 - Algebra II Honors A - 202Test

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The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

Question illustration
A
2 feet
B
4 feet
C
11 feet
D
19 feet
2
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A company plans to sell embroidered hats for $15 each. The company’s financial planner estimates that the cost, y, of manufacturing the hats is a quadratic function with a y-intercept of 7,920 and a vertex of (150, 9,000). What is the minimum number of hats the company must sell to make a profit?

A
151
B
401
C
529
D
601
3

The mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

Question illustration
A
103 millibars
B
194 millibars
C
363 millibars
D
910 millibars
4

What is the solution of ?

Question illustration
A
x = –17
B
x = 13
C
x = 53
D
no solution
5

Review the graph.

Question illustration
A
y ≤ x2 – 8 and x > y2 + 1
B
y ≥ x2 – 8 and x < y2 + 1
C
y ≤ x2 + 1 and x > y2 – 8
D
y ≥ x2 + 1 and x < y2 – 8
6

Organizers of the town fair make a total of $706 from selling 164 hot dogs and 74 hamburgers at one of their concession stands. At their other concession stand, they make $884 by selling 256 hot dogs and 61 hamburgers. If the prices are the same at both concession stands, what is the price of a hot dog?

A
$0.40
B
$2.50
C
$3.75
D
$4.00
7

Which graph represents the solution to the system of inequalities?

Question illustration
A
On a coordinate plane, a curve approaches the x-axis in quadrant 2 and increase through (0, 1) and (2, 9). An ellipse has center (0, 0) and goes through (4, 0), (0, negative 8), (negative 4, 0), and (0, 8). Everything inside of the ellipse and below the curve is shaded.
Option A
B
On a coordinate plane, a curve approaches the x-axis in quadrant 2 and increase through (0, 1) and (2, 9). An ellipse has center (0, 0) and goes through (4, 0), (0, negative 8), (negative 4, 0), and (0, 8). Everything inside of the ellipse and above the curve is shaded.
Option B
C
On a coordinate plane, a curve approaches the x-axis in quadrant 2 and increase through (0, 1) and (2, 9). An ellipse has center (0, 0) and goes through (8, 0), (0, negative 4), (negative 8, 0) and (0, 4). Everything inside of the ellipse and below the curve is shaded.
Option C
D
Option
Option D
8

Which graph shows a system of equations with a solution at (2, –1)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

The first two steps in determining the solution set of the system of equations, y = –x2 + 4x + 12 and y = –3x + 24, algebraically are shown in the table. Which represents the solution(s) of this system of equations?

Question illustration
A
(3, 15)
B
(–4, 36)
C
(3, 15) and (4, 12)
D
(–3, 33) and (–4, 36)
10

A store owner puts in an order for product X and product Y for a total of 4,000 units. It costs $0.10 per item to ship of product X and $0.04 per item to ship product Y. If the total shipping cost is $352, which system of equations can be used to determine how much of product X and product Y the store owner bought?

A
StartLayout Enlarged Left-Brace 1st Row x + y = 4,000 2nd Row 10 x + 4 y = 352 EndLayout
Option A
B
StartLayout Enlarged Left-Brace 1st Row 10 x + 4 y = 4,000 2nd Row x + y = 352 EndLayout
Option B
C
StartLayout Enlarged Left-Brace 1st Row x + y = 4,000 2ndRow 0.1 x + 0.04 y = 352 EndLayout
Option C
D
StartLayout Enlarged Left-Brace 1st Row 0.1 x + 0.04 y = 4,000 2nd Row x + y = 352 EndLayout
Option D
11

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Select two options.y = x2 + 5x + 10y + 5x = x2 + 10 + 4x – 100 = x2 – 9x0 = x2 – 9x + 20One x-value of a solution to the system is 4.

A
y = x2 + 5x + 10
B
y + 5x = x2 + 10 + 4x – 10
C
0 = x2 – 9x
D
0 = x2 – 9x + 20
E
One x-value of a solution to the system is 4.
12

The first three steps in determining the solution set of the system of equations algebraically are shown in the table.y = −x2 +2x − 9 y = −6x + 6

Question illustration
A
(5, −24) and (3, −12)
B
(5, 36) and (3, 24)
C
(−5, −24) and (−3, 12)
D
(−5, 36) and (−3, 24)
13

What is the solution of ?

Question illustration
A
x = –10
B
x = 3
C
x = –10 or x = 3
D
no solution
14

A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.

Question illustration
A
4 km west and 12 km south
B
6 km west and 4 km north
C
2 km east and 10 km north
D
6 km east and 8 km north
15

Which graph represents the solution of x2 + (y – 2)2 8x?

A
On a coordinate plane, a circle has center (0, 2) and radius 3. A parabola opens to the right and goes through (8, 8), has vertex (0, 0), and goes through (4, negative 6). Everything inside of the circle and inside of the parabola is shaded.
Option A
B
On a coordinate plane, a circle has center (0, 2) and radius 3. A parabola opens to the right and goes through (8, 8), has vertex (0, 0), and goes through (4, negative 6). Everything inside of the circle and outside of the parabola is shaded.
Option B
C
On a coordinate plane, a circle has center (2, 0) and radius 6. A parabola opens to the right and goes through (8, 8), has vertex (0, 0), and goes through (4, negative 6). Everything inside of the circle and outside of the parabola is shaded.
Option C
D
Option
Option D

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