AnswersLAUSD-Algebra I Prescriptive - SummerCumulative Exam

Cumulative Exam — Cumulative exam Answers

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A function g(x) is defined as shown.g(x) = What is the value of g(4)?

Question illustration
A
10
B
12
C
14
D
16
2
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What is the axis of symmetry of h(x) = –2x2 + 12x – 3?

A
x = –15
B
x = –3
C
x = 3
D
x = 15
3

Which sample fairly represents the population? Select two options.using a yearbook to determine the most popular names for girls in the United Statesasking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercisescalling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral racesending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfactiontaking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City

A
using a yearbook to determine the most popular names for girls in the United States
B
asking the people exiting a vitamin store how often they exercise to determine the amount of time the average American exercises
C
calling every registered member of the national Republican Party to determine the voter turnout for a city’s mayoral race
D
sending a mandatory and confidential e-mail survey to every tenth employee of a company to determine overall job satisfaction
E
taking a poll in the main hallway between classes to determine the number of students who would be interested in a school trip to New York City
4

The histogram shows the duration, in minutes, of movies in theaters.

Question illustration
A
The mean is less than the median.
B
The median is less than the mean.
C
The mean is equal to the median.
D
The median and mean cannot be compared from a histogram.
5

Which is the solution of the quadratic equation (4y – 3)2 = 72?

A
y = and y =
Option A
B
y = and y =
Option B
C
y = and y =
Option C
D
y = and y =
Option D
6

Which polynomial is prime?

A
x4 + 3x2 – x2 – 3
B
x4 – 3x2 – x2 + 3
C
3x2 + x – 6x – 2
D
3x2 + x – 6x + 3
7

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
8

Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?

A
0 = –3x – 5 + x2
B
0 = x – 3 – 5x2
C
0 = 3x – 5 – x2
D
0 = –3x + 5 – x2
9

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
10

Which graph shows a rate of change of between –4 and 0 on the x-axis?

Question illustration
A
On a coordinate plane, a straight line with a positive slope crosses the x-axis at (6, 0) and the y-axis at (0, 3). Solid circles appear on the line at (negative 4, negative 1), (0, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 5.25, 4), has a vertex of (0, negative 3), and goes through (5.25, 4). Solid circles appear on the parabola at (negative 4, 1), (0, negative 3).
Option B
C
On a coordinate plane, a parabola opens down. It goes through (negative 5.5, negative 4), has a vertex of (0, 4), and goes through (5.5, negative 4). Solid circles appear on the parabola at (negative 4, 0), (0, 4).
Option C
D
On a coordinate plane, a curved line opens up and left in quadrant 2. It is asymptotic to the negative x-axis and positive y-axis. Solid circles appear on the line at (negative 4, 0.25), (0, 4).
Option D
11

The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?

A
–19
B
–9
C
1
D
10
12

The function y = – 3 is graphed only over the domain of {x | –8 < x < 8}. What is the range of the graph?

Question illustration
A
{y | –5 < y < 5}
B
{y | –5 < y < –1}
C
{y | 1 < y < 5}
D
{y | 1 < y < –1}
13

What is the difference of the polynomials?(5x3 + 4x2) – (6x2 – 2x – 9)

A
–x3 + 6x2 + 9
B
–x3 + 2x2 – 9
C
5x3 – 2x2 – 2x – 9
D
5x3 – 2x2 + 2x + 9
14

What is the inverse of the function f(x) = 4x + 8?

A
h(x) = x – 2
Option A
B
h(x) = x + 2
Option B
C
h(x) = x – 2
Option C
D
h(x) = x + 2
Option D
15

Which is true about the polynomial ?

Question illustration
A
It is a binomial with a degree of 2.
B
It is a binomial with a degree of 3.
C
It is a trinomial with a degree of 2.
D
It is a trinomial with a degree of 3.
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

The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?

A
y = (x + 8)(x + 3)
B
y = (x + 4)(x + 6)
C
y = (x + 9)(x + 2)
D
y = (x + 7)(x + 4)
18

The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

A
x3 + 3x − 1
B
x3 + 4x − 1
C
x3 + 3x2 + 3x − 1
D
x3 + 2x2 − x + 1
19

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.
20

The graph of f(x) = is reflected over the y-axis. Use the graphing calculator to graph this reflection. Which list contains three points that lie on the graph of the reflection?

Question illustration
A
(–81, 9), (–36, 6), (–1, 1)
B
(1, –1), (16, –4), (36, –6)
C
(–49, 7), (–18, 9), (–1, 1)
D
(1, –1), (4, –16), (5, –25)

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