AnswersFL-1200700-Mathematics for College Algebra MISInequalities

Inequalities — Unit test Answers

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1
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Given the equation what is the value of x?

Question illustration
A
x = y w + y minus 1
Option A
B
x = 2 y w + y minus 1
Option B
C
x = 2 y w + y minus 2
Option C
D
x = 4 y w + 2 y minus 2
Option D
2
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What is the simplified expression for ?

Question illustration
A
8 x + y
Option A
B
y minus 4 x
Option B
C
7 y minus 4 x
Option C
D
Negative 4 x minus y
Option D
3

The formula for the area of a trapezoid is When this equation is solved for , one equation is . Which of the following is an equivalent equation to find ?

Question illustration
A
b Subscript 1 Baseline= StartFraction 2 A minus b Subscript 2 Baseline h Over h EndFraction
Option A
B
b Subscript 1 Baseline = 2 A minus b Subscript 2 Baseline h
Option B
C
b Subscript 1 Baseline= StartFraction h Over 2 A minus b Subscript 2 Baseline h EndFraction
Option C
D
b Subscript 1 Baseline = h (2 A minus b Subscript 2 Baseline h)
Option D
4

Which is the solution set of the compound inequality and

Question illustration
A
Negative 2 less-than x less-than 3 and three-quarters
Option A
B
Negative 2 less-than x less-than 6
Option B
C
2 less-than x less-than 6
Option C
D
2 less-than x less-than 3 and three-quarters
Option D
5

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
6

Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written?

A
2 x + z + 5 minus 6 z squared
Option A
B
2 x minus z minus 5 + 2 z squared
Option B
C
Negative 2 x minus z minus 5 + 2 z squared
Option C
D
Negative 2 x + z minus 5 + 2 z squared
Option D
7

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
8

Eight less than four times a number is less than 56. What are the possible values of that number?

A
x less-than 12
Option A
B
x greater-than 12
Option B
C
x less-than 16
Option C
D
x greater-than 16
Option D
9

When is solved for w, one equation is Which of the following is an equivalent equation to find w?

Question illustration
A
w = StartFraction 8 x squared + 2 y Over y EndFraction
Option A
B
w = StartFraction 8 x squared minus 2 y Over y EndFraction
Option B
C
w = 8 x squared minus 3 y
Option C
D
w = 8 x squared minus y
Option D
10

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem?

A
x less-than negative 5
Option A
B
x greater-than negative 5
Option B
C
x greater-than negative 1
Option C
D
x less-than negative 1
Option D
11

What is the simplified expression for ?

Question illustration
A
a squared minus 9 a b + 3 a b squared
Option A
B
a squared + 9 a b minus b squared + 3 a b squared
Option B
C
10 a b + a squared minus b squared
Option C
D
3 a b squared + a squared minus b squared minus a b
Option D
12

What is the value of when ?

Question illustration
A
-32
B
-16
C
32
D
56
13

The formula for the volume of a sphere is . What is the formula solved for r?

Question illustration
A
r = 3 uppercase V + 4 pi
Option A
B
r = RootIndex 3 StartRoot 3 uppercase V minus 4 pi EndRoot
Option B
C
r = RootIndex 3 StartRoot StartFraction 3 V Over 4 pi EndFraction EndRoot
Option C
D
r cubed = 3 uppercase V minus 4 pi
Option D
14

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
15

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?

A
(negative infinity, negative 21)
Option A
B
(negative infinity, negative 21 right-bracket
Option B
C
Left-bracket negative 21, positive infinity)
Option C
D
(21, positive infinity)
Option D
16

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
17

At a furniture manufacturer, worker A can assemble a shelving unit in 5 hours. Worker B can assemble the same shelving unit in 3 hours. Which equation can be used to find t, the time in hours it takes for worker A and worker B to assemble a shelving unit together? Rate(Shelving Units per Hour)Time(Hours)Fraction CompletedWorker At Worker Bt

Question illustration
A
5 t + 3 t = 1
Option A
B
One-fifth t minus one-third t = 1
Option B
C
One-fifth t + one-third t = 1
Option C
D
5 t minus 3 5 = 1
Option D
18

What is the simplified expression for ?

Question illustration
A
6 y + 12 x
Option A
B
12 y + 12 x
Option B
C
12 y + 8 x
Option C
D
8 y + 8 x
Option D
19

A boat has a speed of 5 mph in calm water. It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. Using the data in the table, what is the value of c, the speed of the current? Distance (mi)Rate (mph)Time (hr)Upstream3Downstream2

Question illustration
A
1 mph
B
2.5 mph
C
5 mph
D
7.5 mph
20

A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi?

A
m less-than-or-equal-to 17
Option A
B
m greater-than-or-equal-to 17
Option B
C
m less-than-or-equal-to 20.3
Option C
D
m greater-than-or-equal-to 20.3
Option D

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