AnswersKY-Algebra I BCumulative Exam

Cumulative Exam — Cumulative exam Answers

66 verified answers6 views
1
Free Preview

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.

A
(–5, –80)
B
(5, 0)
C
(5, 0) and (–5, –80)
D
no solutions
2
Free Preview

Use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?

A
−9
B
−4
C
4
D
6
3

What is the axis of symmetry of h(x) = –2x2 + 12x – 3?

A
x = –15
B
x = –3
C
x = 3
D
x = 15
4

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

A
(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)
Option A
B
(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)
Option B
C
{–12, 2}
D
{–2, 12}
5

Shenika factored the polynomial completely. What is the value of A?5x3+35x2+6x+42(5x2+A)(x+B)

A
1
B
5
C
6
D
7
6

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

A
n2 + n – 210 = 0
B
n2 + n – 105 = 0
C
2n2 + 2n + 210 = 0
D
2n2 + 2n + 105 = 0
7

The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?

A
f(x) = 85(1 – 0.25)x
B
f(x) = 85(1 + 0.25)x
C
f(x) = 85(0.25)x
D
f(x) = (85 – 0.25)x
8

64, –48, 36, –27, ...

A
f(x + 1) = f(x)
Option A
B
f(x + 1) = f(x)
Option B
C
f(x) = f(x + 1)
Option C
D
f(x) = f(x + 1)
Option D
9

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?36h3, 12h6, __________

A
6h3
B
12h2
C
30h4
D
48h5
10

The diagram represents the polynomial 4x2 + 23x – 72.

Question illustration
A
(4x + 8)(x – 9)
B
(4x – 8)(x + 9)
C
(4x + 9)(x – 8)
D
(4x – 9)(x + 8)
11

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

A
2.45
B
3.16
C
5.48
D
7.07
12

The histogram shows the weights, in pounds, of checked luggage on a flight.

Question illustration
A
The mean is most likely less than 27 pounds.
B
The mean is most likely exactly 27.5 pounds.
C
The mean is most likely about 28 pounds.
D
The mean is most likely more than 28 pounds.
13

What is the vertex of the function f(x) = x2 + 12x?

A
(–6, –36)
B
(–6, 0)
C
(6, 0)
D
(6, –36)
14

Which best describes the range of the function f(x) = 2(3)x?

A
y > 0
B
y ≥ 0
C
y > 2
D
y ≥ 2
15

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4.

Question illustration
A
–6.72
B
–0.58
C
0.58
D
6.72
16

The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which function represents the situation?

A
f(x) = (x + 1)2 + 2
B
f(x) = (x – 1)2 + 2
C
f(x) = 2(x + 1)2 + 2
D
f(x) = 2(x – 1)2 + 2
17

A party planner is going to use an arch of balloons for a parade of recent graduates. The estimated curve the balloons will create is modeled by the function given in the table, where x represents the distance in feet along the ground from the start and f(x) represents the height in feet above the ground.

Question illustration
A
no, because the width of the arch is 8 feet
B
yes, because the width of the arch is 9.6 feet
C
no, because the maximum height of the arch is 8 feet
D
yes, because the maximum height of the arch is 9.6 feet
18

Mr. Walker is looking at the fundraiser totals for the last five years.

Question illustration
A
The median is $1.60 greater than the mean.
B
The mean is $1.60 greater than the median.
C
The median is $2.82 greater than the mean.
D
The mean is $2.82 greater than the median.
19

The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.

Question illustration
A
–2
B
0
C
2
D
5
20

Which is the best description of the graph of the function f(x) = 60()x?

Question illustration
A
The graph has an initial value of 20, and each successive term is determined by subtracting .
Option A
B
The graph has an initial value of 20, and each successive term is determined by multiplying by .
Option B
C
The graph has an initial value of 60, and each successive term is determined by subtracting .
Option C
D
The graph has an initial value of 60, and each successive term is determined by multiplying by .
Option D

Did you find these answers helpful?

More from this Course

Assignment
19 verified answers

Two-Way Tables

Assignment
15 verified answers

Relative Frequencies and Association

Assignment
14 verified answers

Measures of Center