AnswersFL-1200310-Algebra 1Unit Test

Unit Test — Unit test Answers

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Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room?Recall that the area of a square is calculated by l2, where l is the length of one side.

A
feet
Option A
B
feet
Option B
C
feet
Option C
D
feet
Option D
2
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Which is equivalent to ?

Question illustration
A
RootIndex 4 StartRoot 16 EndRoot Superscript 3 x
Option A
B
RootIndex 4 x StartRoot 16 EndRoot cubed
Option B
C
RootIndex 3 StartRoot 16 EndRoot Superscript 4 x
Option C
D
RootIndex 3 x StartRoot 16 EndRoot Superscript 4
Option D
3

A science teacher told his students that the expression represents the area in square units of the contaminated square region in their activity. What is the width of the region in simplest form?

Question illustration
A
units
Option A
B
units
Option B
C
12m2n2 units
D
24m2n2 units
4

A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the equation , where t represents the number of days. After seven days the biologist begins working with a second sample of 20,000 bacteria. The equation used to represent the population of sample 2 after t days is . Which of the following is an equivalent form of the equation for the population of sample 2?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Consider the expression . Which of the following is an equivalent expression?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Combine these radicals.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

What is the rate of increase for the function f(x) = ?

Question illustration
A
One-third
Option A
B
2
Option B
C
4
D
4
Option D
8

Which function has a simplified base of 4?

Question illustration
A
f(x) = 2
Option A
B
f(x) = 2
Option B
C
f(x) = 4
Option C
D
f(x) = 4
Option D
9

The number of bacteria in a sample after x days is represented using the equation . By what approximate percent does the population change per day?

Question illustration
A
4.8% decrease
B
5.0% increase
C
95.2% decrease
D
105.0% increase
10

A scientist has 100 milligrams of a radioactive element. The amount of radioactive element remaining after t days can be determined using the equation . After three days, the scientist receives a second shipment of 100 milligrams of the same element. The equation used to represent the amount of shipment 2 remaining after t days is . After any time, t, the mass of the element remaining in shipment 1 is what percentage of the mass of the element remaining in shipment 2?

Question illustration
A
78.1%
B
81.2%
C
123.1%
D
128.0%
11

What is the simplified form of the following expression?

Question illustration
A
10|a5b5|
B
10a8b8
C
100|a5b5|
D
100a8b8
12

Which expression is equivalent to ?

Question illustration
A
93
B
9
C
33
D
3
13

Nathan has a rectangular plot of grass in his backyard that has dimensions of meters in width and meters in length. What is the total area of the plot of grass? Recall that the area of a rectangle is the width multiplied by the length.

Question illustration
A
square meters
Option A
B
square meters
Option B
C
square meters
Option C
D
square meters
Option D
14

The area of a square room in square units can be represented by 169x2y4. What is the perimeter of the room?

A
13|x|y2 units
B
14|x|y2 units
C
26|x|y2 units
D
52|x|y2 units
15

What is the simplified form of the following expression?

Question illustration
A
2x4y8
B
2x2|y3z|
C
4x2|y3z|
D
4x4y8
16

Which is equivalent to ?

Question illustration
A
3
B
6
C
9
D
12

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