AnswersNY-Algebra I Term 1 HillcrestCumulative Exam

Cumulative Exam — Cumulative exam Answers

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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
22
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At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The number of food tickets sold was 10 less than twice the number of ride tickets sold.The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.2x + 3y = 1240 x = 2y – 10How many of each type of ticket were sold?

A
180 food tickets and 293 ride tickets
B
180 food tickets and 350 ride tickets
C
293 food tickets and 180 ride tickets
D
350 food tickets and 180 ride tickets
23

Which sequences are arithmetic? Select three options.

A
–8.6, –5.0, –1.4, 2.2, 5.8, …
B
2, –2.2, 2.42, –2.662, 2.9282, …
C
5, 1, –3, –7, –11, …
D
–3, 3, 9, 15, 21, …
E
–6.2, –3.1, –1.55, –0.775, –0.3875, …
24

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)
25

What are the domain and range of f(x) = 4x – 8?

A
domain: {x | x is a real number}; range: {y | y > –8}
B
domain: {x | x is a real number}; range: {y | y > 8}
C
domain: {x | x > 4}; range: {y | y > –8}
D
domain: {x | x > –4}; range: {y | y > 8}
26

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.

A
$60
B
$80
C
$90
D
$100
27

Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.Dance World: y = 15xToe Tappers: y = 25 + 12.5xHow many classes would Gina need to take for the total cost to be the same at both dance studios?

A
10
B
15
C
100
D
150
28

The function graphed is reflected across the x-axis to create a new function.

Question illustration
A
Both the domain and range change.
B
Both the range and domain stay the same.
C
The domain stays the same, but the range changes.
D
The range stays the same, but the domain changes.
29

The formula for the circumference of a circle is , where d is the length of the diameter. If d is a rational number, what can you conclude about the circumference?

Question illustration
A
It is a fraction.
B
It is a repeating or terminating decimal.
C
It is a rational number.
D
It is an irrational number.
30

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
31

Which system of linear inequalities has the point (2, 1) in its solution set?

A
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3
Option A
B
y less-than negative one-half x + 3. y less-than one-half x.
Option B
C
Option
Option C
D
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2
Option D
32

The table represents a function.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
33

What is the solution to –2(8x – 4) < 2x + 5?

A
x >
Option A
B
x <
Option B
C
x > 6
D
x < 6
34

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
35

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

A
f(x) = 6x – 1
B
f(x) = 8x – 6
C
f(x) = 4x – 14
D
f(x) = 4x – 10
36

Question text not available

Question illustration
A
all real numbers
B
all real numbers less than or equal to 0
C
all real numbers less than or equal to 1
D
all real numbers greater than or equal to 1
37

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
38

A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ?

Question illustration
A
1
B
3
C
27
D
81
39

A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 4.5, 6.75, 10.125, 15.1875.

Question illustration
A
1.5
B
2.25
C
3.0
D
4.5
40

Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?

A
–100k + 3 + 101k = –245 – 181k
B
–100k + 300 + 101k = –245 – 181k
C
–k + 3 + 101k = –245 – 181k
D
–k + 300 + 101k = –245 – 181k

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