AnswersLAUSD-Algebra I Prescriptive - SummerUnit Test

Unit Test — Unit test Answers

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Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companies in years and y represents growth in terms of number of employees. Company 1 Company 2 If the number of employees is an indicator of a successful business, in which company should Ajay invest?

Question illustration
A
company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year
B
company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year
C
company 2 because it is adding six employees each year while company 1 is multiplying its number of employees by six each year
D
company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year
2
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Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16)?

A
f(x) = –(x – 2)(x – 4)
B
f(x) = –(x + 2)(x + 4)
C
f(x) = –2(x – 2)(x – 4)
D
f(x) = –2(x + 2)(x + 4)
3

The function f(x) = –(x – 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?

A
3 square units
B
6 square units
C
9 square units
D
12 square units
4

Which equation describes the relationship between the variables in the table below?xy-11928146,561559,049

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A
; each y-value is the previous y-value multiplied by 9.
Option A
B
; each y-value is the previous y-value plus 9 more than was added previously.
Option B
C
; each y-value is the previous y-value plus 9.
Option C
D
; each y-value is the previous y-value multiplied by another 9.
Option D
5

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

A
The graph of f(x) = x2 is widened.
B
The graph of f(x) = x2 is shifted left 8 units.
C
The graph of f(x) = x2 is shifted down 44 units.
D
The graph of f(x) = x2 is reflected over the x-axis.
6

An algebra tile configuration. Only the Product spot is shown. 8 tiles are in the Product spot in 3 columns with 3 rows. First row: 1 + x squared, 2 + x. Second row: 1 +x, 2 +. Third row: 1 +x, 1 +.

Question illustration
A
1
B
2
C
3
D
4
7

What is the axis of symmetry for the function f(x)=7−4x+x2?

A
x = –3
B
x = –2
C
x = 2
D
x = 3
8

The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown.f(x) = 4(x2 + 12x) + 10 = 36

Question illustration
A
f(x) = 4(x + 6)2 + 10
B
f(x) = 4(x + 6)2 – 26
C
f(x) = 4(x + 6)2 – 134
D
f(x) = 4(x + 6)2 + 154
9

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.Write the function in standard form.f(x) = 5x2 + 40xFactor a out of the first two terms.f(x) = 5(x2 + 8x)Form a perfect square trinomial. = 16 f(x) = 5(x2 + 8x + 16) – 5(16)What is the function written in vertex form?

Question illustration
A
f(x) = 5(x + 4) – 80
B
f(x) = 5(x + 8) – 80
C
f(x) = 5(x + 4)2 – 80
D
f(x) = 5(x + 8)2 – 80
10

According to one company’s profit model, the company has a profit of 0 when 10 units are sold and a maximum profit of $18,050 when 105 units are sold. What is the function that represents this company’s profit f(x) depending on the number of items sold, x?

A
f(x)=−2(x+105)2+18,050
B
f(x)=−2(x−105)2+18,050
C
f(x)=−10(x+105)2+18,050
D
f(x)=−10(x−105)2+18,050
11

Which of the following describes the growth rate of the exponential function in the graph below?

Question illustration
A
For each x increase of 1, the y increases by a common difference of 3.
B
For each x increase of 1, the y increases by a common factor of 3.
C
For each x increase of 1, the y increases by 4 more than the previous increase.
D
For each x increase of 1, the y increases by doubling and then adding 1.
12

Which function in vertex form is equivalent to f(x) = x2 + x +1?

A
f(x) = +
Option A
B
f(x) = +
Option B
C
f(x) = +
Option C
D
f(x) = +
Option D
13

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

A
left 1 unit, up 5 units
B
right 1 unit, up 5 units
C
left 2 units, up 2 units
D
right 2 units, up 2 units
14

Tables of values for two different functions are given below. Which statement is true?

Question illustration
A
The right function grows approximately 21 times faster than the left function over the interval 4 < x < 5.
B
The right function grows approximately 21 times slower than the left function over the interval 4 < x < 5.
C
The right function grows approximately 6 times faster than the left function over the interval 2 < x < 3.
D
The right function grows approximately 2.5 times slower than the left function over the interval 2 < x < 3.
15

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?

A
The graph of f(x) = x2 is widened.
B
The graph of f(x) = x2 is shifted left 3 units.
C
The graph of f(x) = x2 is shifted up 30 units.
D
The graph of f(x) = x2 is reflected over the x-axis.
16

Consider the function shown on the graph.

Question illustration
A
f(x) = (x + 3)(x + 7)
B
f(x) = (x – 3)(x – 7)
C
f(x) = 3(x – 3)(x – 7)
D
f(x) = 11(x + 3)(x + 7)
17

An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot in 5 columns with 5 rows. First row: 1 + x squared, 4 + x. Below the + x squared tile are 4 +x tiles.

Question illustration
A
4
B
8
C
16
D
64
18

What are the coordinates of the vertex of the function f(x)=x2+10x−3?

A
(–5, –28)
B
(–5, 28)
C
(5, –28)
D
(5, 28)
19

What is the axis of symmetry of h(x) = 5x2 + 40x + 64?

A
x = −16
B
x = −4
C
x = 4
D
x = 16
20

Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?

A
f(x) = (x – 8)2 – 56
B
f(x) = (x – 4)2 + 0
C
f(x) = (x + 8)2 – 72
D
f(x) = (x + 4)2 – 32

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