AnswersNY-Algebra I Term 1 HillcrestCumulative Exam

Cumulative Exam — Cumulative exam Answers

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The graph of f(x) = (2.5)x and its reflection across the x-axis, g(x), are shown.

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A
all real numbers
B
all real numbers less than 0
C
all real numbers greater than 0
D
all real numbers less than or equal to 0
2
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What is the value of p in the linear equation ?

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A
−4
B
−2
C
2
D
4
3

Consider the function represented by the graph.

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.Which solution can be used to fill in both blanks in the table?

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A
(2, 5)
B
(5, 2)
C
(5, −8)
D
(−8, 5)
5

Over which interval are the exponential and linear function approximately the same?

Question illustration
A
from 0.25 to 0.5
B
from 0.5 to 0.75
C
from 0.75 to 1.0
D
from 1.25 to 1.5
6

Which value of a in the exponential function below would cause the function to shrink?f(x) = a

Question illustration
A
Four-fifths
Option A
B
Five-fourths
Option B
C
Three-halves
Option C
D
Seven-fourths
Option D
7

All points of the step function f(x) are graphed.

Question illustration
A
−3, −2, −1, 0, 1
B
−2, −1, 0, 1
C
all real numbers such that −3 < y ≤ 1
D
all real numbers such that −2 < y ≤ 1
8

Lukas graphed the system of equations shown.2x + 3y = 2y = x + 3What is the solution to the system of equations?

Question illustration
A
(–2, 2)
B
(0, 0.67)
C
(0, 3)
D
(1, 0)
9

Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

A
f(x) = y + 3
B
f(x) = –y – 3
C
f(x) = –x + 3
D
f(x) = x – 3
10

A sequence is defined by the recursive function f(n + 1) = f(n) – 2.

A
1
B
6
C
8
D
30
11

Which number is rational?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
9.23157 ...
12

The function f(x) = 5 is reflected over the y-axis. Which equations represent the reflected function? Select two options.

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 5
Option C
D
f(x) = 5(5)x
E
f(x) = 5(5)–x
13

Which best describes the relationship between the successive terms in the sequence shown?9, –1, –11, –21, …

A
The common difference is –10.
B
The common difference is 10.
C
The common ratio is –9.
D
The common ratio is 9.
14

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.18 + 3x = 24 + 2x What does x represent?

A
the total cost to fill the rectangular bird feeder after any number of weeks
B
the total cost to fill the cylindrical bird feeder after any number of weeks
C
the number of weeks the bird feeders are filled
D
the number of bird feeders purchased each week
15

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.Plan B: Put the $1,000 in an account that pays 5 percent interest per year.Which statement is true?

A
Plan A will be worth more than plan B after two years.
B
Plan A will be worth the same amount as plan B after one year.
C
Plan B will be worth more than plan A after three years.
D
Plan B will be worth more than plan A after four years.
16

Which of the following best describes how the y values are changing over each interval?xy122438416532

A
They are increasing by 2 each time.
B
They are increasing by 4 each time.
C
They are being multiplied by 2 each time.
D
They are being multiplied by 4 each time.
17

Which of the following expresses as a fraction in simplest form?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

Which is a stretch of an exponential growth function?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D
19

The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides.Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole number.

A
6 sides
B
7 sides
C
8 sides
D
9 sides
20

Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?

A
The range contains only natural numbers.
B
The domain contains only natural numbers.
C
Exponential bases must be whole numbers.
D
Initial values must be whole numbers.

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