AnswersCREDIT RE-SEAT MNPS Integrated Math III IC S1 25-26Unit Test

Unit Test — Unit test Answers

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1
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Which phrase represents the algebraic expression 5x - 9?

A
the product of five times a number and nine
B
the difference of nine times a number and five
C
the sum of five times a number and five
D
the difference of five times a number and nine
2
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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.
3

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.
4

Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. To the nearest tenth of a mile, how much faster does Julia ride than Katie? Distance (mi)Rate (mph)Time (hr)Julia20 1.2Katie20 1.6

A
4.2 mph
B
8.0 mph
C
12.5 mph
D
15.4 mph
5

Which of the following is an example of why irrational numbers are not closed under addition?

A
, and 4 is not irrational
Option A
B
, and 1 is not irrational
Option B
C
, and 0 is not irrational
Option C
D
–3 + 3 = 0, and 0 is not irrational
6

Each week, Rosario drives to an ice-skating rink that is 60 miles away. The round-trip takes 2.75 hours. If he averages 55 miles per hour on his way to the rink, which equation can be used to find x, the number of miles per hour he averages on his way home?

A
StartFraction 60 Over 55 EndFraction + StartFraction 60 Over x EndFraction = 2.75
Option A
B
StartFraction 60 Over 55 EndFraction times StartFraction 60 Over x EndFraction = 2.75
Option B
C
60 (55) + 60 x = 2.75
Option C
D
60 (55) times 60 x = 2.75
Option D
7

Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add? Original(Gallons)Added(Gallons)New(Gallons)Amount of Detergent1.980 Amount of Solution11g

A
StartFraction 1.98 Over 11 + g EndFraction minus StartFraction 12 Over 100 EndFraction = 1
Option A
B
StartFraction 1.98 Over 11 + g EndFraction + StartFraction 12 Over 100 EndFraction = 1
Option B
C
StartFraction 11 + g Over 1.98 EndFraction = StartFraction 12 Over 100 EndFraction
Option C
D
StartFraction 1.98 Over 11 + g EndFraction = StartFraction 12 Over 100 EndFraction
Option D
8

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
9

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

Question illustration
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
10

Which property of real numbers is shown below?3 + ((-5) + 6) = (3 + (-5)) + 6

A
commutative property of addition
B
identity property of multiplication
C
associative property of addition
D
commutative property of multiplication
11

Paul can install a 300-square-foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long would it take Paul and Matt to install the floor working together?

A
4 hours
B
9.9 hours
C
13.2 hours
D
30 hours
12

Which algebraic expression represents the phrase “seven more than half of a number”?

A
7 minus one-half x
Option A
B
Negative 7 + one-half x
Option B
C
One-half x + 7
Option C
D
Negative one-half x minus 7
Option D
13

Which number is an integer?

A
Negative three-fourths
Option A
B
0
C
2.3
D
Pi
Option D
14

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove?

A
3.52 (22 minus n) = 0.24
Option A
B
StartFraction 22 minus n Over 3.52 EndFraction = StartFraction 24 Over 100 EndFraction
Option B
C
StartFraction 3.52 Over 22 minus n EndFraction = StartFraction 24 Over 100 EndFraction
Option C
D
3.52 + (22 minus n) = 0.24
Option D
15

Which statement best describes the growth rates of the functions below?

Question illustration
A
The quadratic function grows faster than the exponential function over the entire interval; 0<x<4.
B
The exponential function grows faster than the quadratic function over the entire interval; 0<x<4.
C
The exponential function grows faster than the quadratic function over only one interval; 2<x<3.
D
The exponential function grows faster than the quadratic function over two intervals; 2<x<4.
16

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and averages 45 miles per hour. If the total trip takes 2.5 hours, which equation can be used to find n, the number of miles Lilly’s home is from her work? Distance(mi)Rate(mi/hr)Time(hr)Trip to Workn35 mph Trip Homen45 mph

A
StartFraction n Over 35 EndFraction times StartFraction n Over 45 EndFraction = 2.5
Option A
B
StartFraction n Over 35 EndFraction + StartFraction n Over 45 EndFraction = 2.5
Option B
C
35 n + 45 n = 2.5
Option C
D
35 n times 45 n = 2.5
Option D
18

Which equation shows the inverse property of multiplication?

A
4 + (-4) = 0
B
-8 + (-3) = -3 + (-8)
C
2 times one-half = 1
Option C
D
Eight-fifths + 0 = Eight-fifths
Option D
19

Study the table. xy–28–12001228Which best describes the function represented by the data in the table?

A
linear with a common ratio of 4
B
linear with a common second difference of 4
C
quadratic with a common ratio of 4
D
quadratic with a common second difference of 4
20

How many liters of water should be added to 18 liters of a 14% bleach solution so that the resulting solution contains only 10% bleach? Original (L)Added (L)New (L)Amount of Bleach2.520 Amount of Solution18x

A
1.8 liters
B
7.2 liters
C
15.5 liters
D
25.2 liters

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