AnswersLHS Algebra ICumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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What is the following sum?

Question illustration
A
4 x (RootIndex 3 StartRoot 2 y EndRoot) + 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot)
Option A
B
8 x (RootIndex 3 StartRoot x y EndRoot) + 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot)
Option B
C
16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot)
Option C
D
48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot)
Option D
2
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The box plots below show the ages of college students in different math courses. Math 1 Math 2Which statement is true?

Question illustration
A
The median age of the students in Math 1 is greater than the median age of the students in Math 2.
B
The median age of the students is Math 1 is less than the median age of the students in Math 2.
C
The mean and median age are most likely the same for both sets of data.
D
The mean and median age are more likely to be the same for the students in Math 1.
3

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
4

Which statement is true about the function f(x) = ?

Question illustration
A
It has the same domain and range as the function f(x) = .
Option A
B
It has the same range but not the same domain as the function f(x) = .
Option B
C
It has the same domain and range as the function f(x) = .
Option C
D
It has the same range but not the same domain as the function f(x) = .
Option D
5

The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

Question illustration
A
The function y = 3x is growing slower than y = 3x.
B
The function y = 3x is growing faster than y = 3x.
C
The functions y = 3x and y = 3x are growing at the same rate.
D
The function y = 3x is growing slower than y = 3x.
6

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
7

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show an upward trend.

Question illustration
A
–0.872
B
–0.191
C
0.191
D
0.872
8

The radius and circumference of several objects were measured.

Question illustration
A
It is a weak positive correlation, and it is not likely causal.
B
It is a weak positive correlation, and it is likely causal.
C
It is a strong positive correlation, and it is not likely causal.
D
It is a strong positive correlation, and it is likely causal.
9

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

A
ab(7a2 + 10ab + 14b2)
B
a2b(7 + 10b + 14b2)
C
7a2(b + 3b2 + 7b3)
D
7a2b3(b2 + 3b + 7)
10

Which expression is equivalent to ? Assume x 0 and .

Question illustration
A
StartFraction 4 x (RootIndex 4 StartRoot y squared EndRoot) Over 9 EndFraction
Option A
B
StartFraction 2 x (RootIndex 4 StartRoot y squared EndRoot) Over 3 EndFraction
Option B
C
StartFraction 4 x squared y Over 9 EndFraction
Option C
D
StartFraction 2 x squared y Over 3 EndFraction
Option D
11

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
12

What is the simplified form of the following expression?

Question illustration
A
2 StartRoot 2 EndRoot
Option A
B
5 StartRoot 2 EndRoot
Option B
C
9 StartRoot 2 EndRoot
Option C
D
15 StartRoot 2 EndRoot
Option D
13

Which number line shows the solution set for ?

Question illustration
A
A number line going from negative 5 to positive 4. Closed circles are at negative 5 and positive 1. Everything to the left of negative 5 and to the right of positive 1 is shaded.
Option A
B
A number line going from negative 5 to positive 4. Open circles are at negative 5 and positive 1. Everything to the left of negative 5 and to the right of positive 1 is shaded.
Option B
C
A number line going from negative 5 to positive 4. Closed circles are at negative 5 and positive 1. Everything between the points is shaded.
Option C
D
A number line going from negative 5 to positive 4. Open circles are at negative 5 and positive 1. Everything between the points is shaded.
Option D
14

Which expression is equivalent to ? Assume .

Question illustration
A
(x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)
Option A
B
(x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline)
Option B
C
(x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline)
Option C
D
(x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline)
Option D
15

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
16

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)
17

What does a residual value of 1.3 mean when referring to the line of best fit of a data set?

A
A data point is 1.3 units above the line of best fit.
B
A data point is 1.3 units below the line of best fit.
C
The line of best fit has a slope of –1.3
D
The line of best fit has a slope of 1.3.
18

Which graph represents the function g(x) = |x + 4| + 2?

A
Option
B
Option
C
Option
D
Option
19

Priya is playing a game where she earns online badges for scoring higher than the mean score on a level. After the tenth level, she scores 3,540 points, which is 2 standard deviations above the mean score of 3,110 points.

A
215
B
311
C
354
D
430
20

Which shows all the values of x that make the rational expression undefined?

Question illustration
A
x = 6
B
x = 7
C
x = –6 or x = 6
D
x = –7 or x = 7

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