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Deck 7: Radical Expressions and Equations
Full screen (f)
Question
The orbital speed ( s ) of an earth satellite is related to its distance ( r ) from the earth's center by the formula 
. If the satellite's orbital speed is 
meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter. 
A) 4,397
B) 21,478
C) 19,331,856
D) 19,333,456
E) 19,330,256
. If the satellite's orbital speed is meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter. A) 4,397
B) 21,478
C) 19,331,856
D) 19,333,456
E) 19,330,256
Question
Find the domain and range of the function. 
A) D : (-∞, ∞), R : (-∞, ∞)
B) D : (-∞, ∞), R : [-8, ∞)
C) D : (-∞, 7)∪(7, ∞), R : (-∞, ∞)
D) D : (-∞, 7)∪(7, ∞), R : [-8, ∞)
A) D : (-∞, ∞), R : (-∞, ∞)
B) D : (-∞, ∞), R : [-8, ∞)
C) D : (-∞, 7)∪(7, ∞), R : (-∞, ∞)
D) D : (-∞, 7)∪(7, ∞), R : [-8, ∞)
Question
What size is the television screen shown in the illustration? Find 
if 
in. and 
in. 
A) 25 in.
B) 35 in.
C) 14.2 in.
D) 13.2 in.
E) 5 in.
if in. and in. A) 25 in.
B) 35 in.
C) 14.2 in.
D) 13.2 in.
E) 5 in.
Question
A 17-foot ladder reaches a window 15 feet above the ground. How far from the wall is the base of the ladder?
A) 8 ft
B) 2 ft
C)
ft
D)
ft
E) 23 ft
A) 8 ft
B) 2 ft
C)
ftD)
ftE) 23 ft
Question
Find the square root without using a calculator. 
A) 1.3
B) 12
C) 0.12
D) 1.1
E) 1.2
A) 1.3
B) 12
C) 0.12
D) 1.1
E) 1.2
Question
Find the value without using a calculator. 
A) 999
B) 10
C) 1,000
D) 30
E) 100
A) 999
B) 10
C) 1,000
D) 30
E) 100
Question
Find the square root without using a calculator. 
A) 8
B) 10
C)
8
D)
7
E) 7
A) 8
B) 10
C)
8D)
7E) 7
Question
Find the domain and range of the function. ![<strong>Find the domain and range of the function. </strong> A) D : (0, ∞), R :(-∞, -6) B) D : [0, ∞), R :(-6, ∞] C) D : [0, ∞), R :(-∞, -6] D) D : [0, ∞), R :(-∞, ∞) <div style=padding-top: 35px>](https://storage.examlex.com/TBX8967/11ec1e8e_2c0b_c21d_be9b_7397a39e849c_TBX8967_00.jpg)
A) D : (0, ∞), R :(-∞, -6)
B) D : [0, ∞), R :(-6, ∞]
C) D : [0, ∞), R :(-∞, -6]
D) D : [0, ∞), R :(-∞, ∞)
A) D : (0, ∞), R :(-∞, -6)
B) D : [0, ∞), R :(-6, ∞]
C) D : [0, ∞), R :(-∞, -6]
D) D : [0, ∞), R :(-∞, ∞)
Question
Simplify the radical. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary. 
A) -3 y
B) -3 y 2
C) 3| y |
D) 3 y 2
E) 3 y
A) -3 y
B) -3 y 2
C) 3| y |
D) 3 y 2
E) 3 y
Question
Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary. 
A) | a + 1|
B) a - 1
C) -a - 1
D) a + 1
E) | a - 1|
A) | a + 1|
B) a - 1
C) -a - 1
D) a + 1
E) | a - 1|
Question
The formula 
relates the speed 
(in mph) of a car and the distance 
of the skid when a driver hits the brakes. On wet pavement, 
. How far will a car skid if it is going 50 mph?
A) about 215 ft
B) about 204 ft
C) about 238 ft
D) about 283 ft
E) about 226 ft
relates the speed (in mph) of a car and the distance of the skid when a driver hits the brakes. On wet pavement, . How far will a car skid if it is going 50 mph?A) about 215 ft
B) about 204 ft
C) about 238 ft
D) about 283 ft
E) about 226 ft
Question
A cubical box has a volume of 8 cubic feet. Substitute 8 for V in the formula 
, and solve for s to find the length of each side of the box.
A)
B) 6 cu. ft.
C) 4 cu. ft.
D) 2 cu. ft.
E) none of the above
, and solve for s to find the length of each side of the box.A)
B) 6 cu. ft.
C) 4 cu. ft.
D) 2 cu. ft.
E) none of the above
Question
Find the value. 
Question
Find the value. 
A) -9
B) 9
C)
D) - 1
E) 1
A) -9
B) 9
C)
D) - 1
E) 1
Question
Find the domain and range of the function. 
A) D : (-4, ∞), R : [0, ∞)
B) D : [-4, ∞), R : (0, ∞)
C) D : [-4, ∞), R : [0, ∞)
D) D : (-4, ∞), R : (0, ∞)
A) D : (-4, ∞), R : [0, ∞)
B) D : [-4, ∞), R : (0, ∞)
C) D : [-4, ∞), R : [0, ∞)
D) D : (-4, ∞), R : (0, ∞)
Question
Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find the value without using a calculator. 
A) -0.1
B) 0.1
C) 0.3
D) -0.3
E) not a real number
A) -0.1
B) 0.1
C) 0.3
D) -0.3
E) not a real number
Question
The number of wrenches that can be produced at a given price can be predicted by the formula 
, where 
is the supply (in thousands) and 
is the price (in dollars). If the demand 
for the wrenches can be predicted by the formula 
, find the equilibrium price.
A) $5
B) $4
C) $3
D) None of the above
, where is the supply (in thousands) and is the price (in dollars). If the demand for the wrenches can be predicted by the formula , find the equilibrium price.A) $5
B) $4
C) $3
D) None of the above
Question
After joining two pieces of picture frame molding together, a frame maker checks her work by making a diagonal measurement (see the illustration). If the sides of the frame that form a right angle are 
in. and 
in., what measurement should the frame maker read on the yardstick? 
A)
in.
B)
in.
C) 11 in.
D) 13 in.
E) 17 in.
in. and in., what measurement should the frame maker read on the yardstick? A)
in.B)
in.C) 11 in.
D) 13 in.
E) 17 in.
Question
Simplify the expression. 
A) 25
B)
C) 4
D) 16
E) 81
A) 25
B)
C) 4
D) 16
E) 81
Question
Simplify: 
A) 2
B) 3
C) 16
D) 96
A) 2
B) 3
C) 16
D) 96
Question
Simplify the exponential expression. 
A) |u - 3|
B) u - 3
C) u 2 - 9
D) not a real number
A) |u - 3|
B) u - 3
C) u 2 - 9
D) not a real number
Question
Simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the expression. All variables represent positive real numbers. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the distance between points P and Q , where P (5, 6) and Q (8, -7).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the exponential expression. 
A) -36 p
B) 6 p 2
C) 36 p 2
D) not a real number
A) -36 p
B) 6 p 2
C) 36 p 2
D) not a real number
Question
Find the distance between the two points. (1, 9) and (-9, -3)
A)
B)
C) 61
D)
E)
A)
B)
C) 61
D)
E)
Question
Simplify the radical expression. Assume that variables represent positive numbers. 
A)
B) 8
C) 64 z 2
D)
A)
B) 8
C) 64 z 2
D)
Question
Simplify the radical expression. Assume that variables represent positive numbers. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write 
using positive rational exponents.
A)
B)
C)
D)
E)
using positive rational exponents.A)
B)
C)
D)
E)
Question
Perform the operation. Do not use negative exponents in the answer. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Question
Simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the expression. All variables represent positive real numbers. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation. Do not use negative exponents in the answer. Assume that all variables represent positive numbers. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The formula 
relates the speed 
(in mph) of a car and the distance 
of the skid when a driver hits the brakes. How far will a car skid if it is going 52 mph on dry pavement? On dry pavement, 
.
A) about 73 ft
B) about 90 ft
C) about 113 ft
D) about 95 ft
E) about 106 ft
relates the speed (in mph) of a car and the distance of the skid when a driver hits the brakes. How far will a car skid if it is going 52 mph on dry pavement? On dry pavement, .A) about 73 ft
B) about 90 ft
C) about 113 ft
D) about 95 ft
E) about 106 ft
Question
Multiply and simplify where possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the following product and express your answer in simplest radical form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The power generated by a windmill is related to the speed of the wind by the formula 
, where 
is the speed of the wind (in mph) and 
is the power (in watts). Find the speed of the wind when the windmill is producing 413 watts of power.
A) 27.07 mph
B) 28.99 mph
C) 28.25 mph
D) 27.44 mph
E) 27.56 mph
, where is the speed of the wind (in mph) and is the power (in watts). Find the speed of the wind when the windmill is producing 413 watts of power.A) 27.07 mph
B) 28.99 mph
C) 28.25 mph
D) 27.44 mph
E) 27.56 mph
Question
Use the distributive property to help simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the distributive property to help simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Johannes Kepler discovered that a planet's mean distance 
from the sun (in astronomical units) is related to its period 
(in years) by the formula 
Find 
when 
and 
.
A) 19.17 AU
B) 15.34 AU
C) 17.25 AU
D) 18.58 AU
E) 13.42 AU
from the sun (in astronomical units) is related to its period (in years) by the formula Find when and .A) 19.17 AU
B) 15.34 AU
C) 17.25 AU
D) 18.58 AU
E) 13.42 AU
Question
Find lengths of AC and BC, if AB = 
. 
A) AC =
, BC = 12
B) AC = 12, BC =
C) AC =
, BC = 
D) AC = 12, BC =
E) AC =
, BC = 6
. A) AC =
, BC = 12B) AC = 12, BC =
C) AC =
, BC = D) AC = 12, BC =
E) AC =
, BC = 6 Question
Rationalize the denominator and simplify. All variables represent positive real numbers. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Rationalize the numerator of a fraction. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the distributive property to help simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the length of AB, if BC = 
. 
A) 18
B)
C)
D)
E) 6
. A) 18
B)
C)
D)
E) 6
Question
Rationalize the numerator of a fraction. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Rationalize the denominator and simplify. The variables represent positive real numbers. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Rationalize the numerator of a fraction. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the equation. Check all solutions. 
A) 29
B) 25
C) 5
D) 31
E) no solution
A) 29
B) 25
C) 5
D) 31
E) no solution
Question
Express the following expression in simplest radical form. All variables represent positive real numbers. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Multiply and simplify where possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the expression. Assume that all variables represent positive numbers. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the length of AB, if BC = 
. 
A) 4
B) 2
C) 3
D) 8
E) 16
. A) 4
B) 2
C) 3
D) 8
E) 16
Question
Write 
in terms of i and simplify.
A)
B)
C)
D)
E)
in terms of i and simplify.A)
B)
C)
D)
E)
Question
Solve the equation. Write all solutions and then indicate which of those solutions are extraneous. 
A)
is extraneous
B)
is extraneous
C)
D)
E)
A)
is extraneousB)
is extraneousC)
D)
E)
Question
Solve the equation. Check all solutions. 
A) x = 0, x =
is extraneous
B) x = 0, x = -
is extraneous
C) x = 0, x =
D) x = 0, x = -
E) x = 0, x =
A) x = 0, x =
is extraneousB) x = 0, x = -
is extraneousC) x = 0, x =
D) x = 0, x = -
E) x = 0, x =
Question
Solve the equation. 
A) t = 6
B) t = 7
C) t = 5
D) t = 5, 6
E) no solution
A) t = 6
B) t = 7
C) t = 5
D) t = 5, 6
E) no solution
Question
Solve the equation. Check all solutions. 
A) 7
B)
7
C) 0
D)
7, 7
E) 0 is extraneous
A) 7
B)
7C) 0
D)
7, 7E) 0 is extraneous
Question
Simplify the expression. Enter the answer in a + bi form. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Write 
in terms of i , perform the indicated operations, and simplify.
A)
B)
C)
D)
E)
in terms of i , perform the indicated operations, and simplify.A)
B)
C)
D)
E)
Question
The period of a pendulum is the time it takes to swing from one side to the other side and back. The formula 
where T represents the time in seconds and L the length in feet, can be used to determine the period of a pendulum (see the figure). Find the period of a 4-feet pendulum. Express your answer to the nearest tenth of a second.
A) 2.4 seconds
B) 2.9 seconds
C) 2.2 seconds
D) 2.5 seconds
E) 0.8 seconds
where T represents the time in seconds and L the length in feet, can be used to determine the period of a pendulum (see the figure). Find the period of a 4-feet pendulum. Express your answer to the nearest tenth of a second.A) 2.4 seconds
B) 2.9 seconds
C) 2.2 seconds
D) 2.5 seconds
E) 0.8 seconds
Question
Solve the formula for an indicated variable. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Simplify the expression. Enter the answer in a + bi form. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Write the expression in 
form. 
A)
B)
C)
D)
E)
form. A)
B)
C)
D)
E)
Question
Solve the equation. Check all solutions. 
A) x = 12, x = - 9 is extraneous
B) x = 82, x = - 82 is extraneous
C) x = 12, x = -
is extraneous
D) x =
, x = - 
E) x = 12, x = - 9
A) x = 12, x = - 9 is extraneous
B) x = 82, x = - 82 is extraneous
C) x = 12, x = -
is extraneousD) x =
, x = - E) x = 12, x = - 9
Question
Perform the operation. Write the answer in a + bi form. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Simplify the expression. Enter the answer in a + bi form. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Write 
in terms of i and simplify.
A)
B)
C)
D)
E)
in terms of i and simplify.A)
B)
C)
D)
E)
Question
Use the following formula to find the speed of a car that left skid marks of 300 feet in length: 
where the coefficient of friction, 
, D is the distance skidded, and S is the speed of the car. Express your answer to the nearest mile per hour.
A) 47 miles per hour
B) 11 miles per hour
C) 60 miles per hour
D) 55 miles per hour
E) 67 miles per hour
where the coefficient of friction, , D is the distance skidded, and S is the speed of the car. Express your answer to the nearest mile per hour.A) 47 miles per hour
B) 11 miles per hour
C) 60 miles per hour
D) 55 miles per hour
E) 67 miles per hour
Question
Solve the equation. Check all solutions. 
A) 39
B) 64
C) 41
D) 52
E) no solution
A) 39
B) 64
C) 41
D) 52
E) no solution
Question
Simplify the expression. Enter the answer in a + bi form. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Solve the equation. 
A) 0
B) 1
C) -1
D) -1, 1
E) no solution
A) 0
B) 1
C) -1
D) -1, 1
E) no solution
Question
Solve the equation. 
A) a = 36
B) a = 3
C) a = 9
D) a = 6
E) no solution
A) a = 36
B) a = 3
C) a = 9
D) a = 6
E) no solution
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Deck 7: Radical Expressions and Equations
1
The orbital speed ( s ) of an earth satellite is related to its distance ( r ) from the earth's center by the formula . If the satellite's orbital speed is meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter.
A) 4,397
B) 21,478
C) 19,331,856
D) 19,333,456
E) 19,330,256
. If the satellite's orbital speed is meters per second, find its altitude a (in meters) above the earth's surface, as shown in the illustration. Round the answer to the nearest meter. A) 4,397
B) 21,478
C) 19,331,856
D) 19,333,456
E) 19,330,256
19,330,256
2
Find the domain and range of the function.
A) D : (-∞, ∞), R : (-∞, ∞)
B) D : (-∞, ∞), R : [-8, ∞)
C) D : (-∞, 7)∪(7, ∞), R : (-∞, ∞)
D) D : (-∞, 7)∪(7, ∞), R : [-8, ∞)
A) D : (-∞, ∞), R : (-∞, ∞)
B) D : (-∞, ∞), R : [-8, ∞)
C) D : (-∞, 7)∪(7, ∞), R : (-∞, ∞)
D) D : (-∞, 7)∪(7, ∞), R : [-8, ∞)
D : (-∞, ∞), R : (-∞, ∞)
3
What size is the television screen shown in the illustration? Find if in. and in.
A) 25 in.
B) 35 in.
C) 14.2 in.
D) 13.2 in.
E) 5 in.
if in. and in. A) 25 in.
B) 35 in.
C) 14.2 in.
D) 13.2 in.
E) 5 in.
25 in.
4
A 17-foot ladder reaches a window 15 feet above the ground. How far from the wall is the base of the ladder?
A) 8 ft
B) 2 ft
C) ft
D) ft
E) 23 ft
A) 8 ft
B) 2 ft
C)
ftD)
ftE) 23 ft
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5
Find the square root without using a calculator.
A) 1.3
B) 12
C) 0.12
D) 1.1
E) 1.2
A) 1.3
B) 12
C) 0.12
D) 1.1
E) 1.2
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6
Find the value without using a calculator.
A) 999
B) 10
C) 1,000
D) 30
E) 100
A) 999
B) 10
C) 1,000
D) 30
E) 100
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7
Find the square root without using a calculator.
A) 8
B) 10
C) 8
D) 7
E) 7
A) 8
B) 10
C)
8D)
7E) 7
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8
Find the domain and range of the function.
A) D : (0, ∞), R :(-∞, -6)
B) D : [0, ∞), R :(-6, ∞]
C) D : [0, ∞), R :(-∞, -6]
D) D : [0, ∞), R :(-∞, ∞)
A) D : (0, ∞), R :(-∞, -6)
B) D : [0, ∞), R :(-6, ∞]
C) D : [0, ∞), R :(-∞, -6]
D) D : [0, ∞), R :(-∞, ∞)
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9
Simplify the radical.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.
A) -3 y
B) -3 y 2
C) 3| y |
D) 3 y 2
E) 3 y
A) -3 y
B) -3 y 2
C) 3| y |
D) 3 y 2
E) 3 y
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k this deck
11
Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.
A) | a + 1|
B) a - 1
C) -a - 1
D) a + 1
E) | a - 1|
A) | a + 1|
B) a - 1
C) -a - 1
D) a + 1
E) | a - 1|
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k this deck
12
The formula relates the speed (in mph) of a car and the distance of the skid when a driver hits the brakes. On wet pavement, . How far will a car skid if it is going 50 mph?
A) about 215 ft
B) about 204 ft
C) about 238 ft
D) about 283 ft
E) about 226 ft
relates the speed (in mph) of a car and the distance of the skid when a driver hits the brakes. On wet pavement, . How far will a car skid if it is going 50 mph?A) about 215 ft
B) about 204 ft
C) about 238 ft
D) about 283 ft
E) about 226 ft
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k this deck
13
A cubical box has a volume of 8 cubic feet. Substitute 8 for V in the formula , and solve for s to find the length of each side of the box.
A)
B) 6 cu. ft.
C) 4 cu. ft.
D) 2 cu. ft.
E) none of the above
, and solve for s to find the length of each side of the box.A)
B) 6 cu. ft.
C) 4 cu. ft.
D) 2 cu. ft.
E) none of the above
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k this deck
14
Find the value.
Unlock Deck
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k this deck
15
Find the value.
A) -9
B) 9
C)
D) - 1
E) 1
A) -9
B) 9
C)
D) - 1
E) 1
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k this deck
16
Find the domain and range of the function.
A) D : (-4, ∞), R : [0, ∞)
B) D : [-4, ∞), R : (0, ∞)
C) D : [-4, ∞), R : [0, ∞)
D) D : (-4, ∞), R : (0, ∞)
A) D : (-4, ∞), R : [0, ∞)
B) D : [-4, ∞), R : (0, ∞)
C) D : [-4, ∞), R : [0, ∞)
D) D : (-4, ∞), R : (0, ∞)
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k this deck
17
Find the square root. Assume that all variables are unrestricted, and use absolute value symbols if necessary.
A)
B)
C)
D)
A)
B)
C)
D)
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k this deck
18
Find the value without using a calculator.
A) -0.1
B) 0.1
C) 0.3
D) -0.3
E) not a real number
A) -0.1
B) 0.1
C) 0.3
D) -0.3
E) not a real number
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k this deck
19
The number of wrenches that can be produced at a given price can be predicted by the formula , where is the supply (in thousands) and is the price (in dollars). If the demand for the wrenches can be predicted by the formula , find the equilibrium price.
A) $5
B) $4
C) $3
D) None of the above
, where is the supply (in thousands) and is the price (in dollars). If the demand for the wrenches can be predicted by the formula , find the equilibrium price.A) $5
B) $4
C) $3
D) None of the above
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k this deck
20
After joining two pieces of picture frame molding together, a frame maker checks her work by making a diagonal measurement (see the illustration). If the sides of the frame that form a right angle are in. and in., what measurement should the frame maker read on the yardstick?
A) in.
B) in.
C) 11 in.
D) 13 in.
E) 17 in.
in. and in., what measurement should the frame maker read on the yardstick? A)
in.B)
in.C) 11 in.
D) 13 in.
E) 17 in.
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k this deck
21
Simplify the expression.
A) 25
B)
C) 4
D) 16
E) 81
A) 25
B)
C) 4
D) 16
E) 81
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22
Simplify:
A) 2
B) 3
C) 16
D) 96
A) 2
B) 3
C) 16
D) 96
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k this deck
23
Simplify the exponential expression.
A) |u - 3|
B) u - 3
C) u 2 - 9
D) not a real number
A) |u - 3|
B) u - 3
C) u 2 - 9
D) not a real number
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k this deck
24
Simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
25
Simplify the expression. All variables represent positive real numbers.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
26
Simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
27
Find the distance between points P and Q , where P (5, 6) and Q (8, -7).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
28
Simplify the exponential expression.
A) -36 p
B) 6 p 2
C) 36 p 2
D) not a real number
A) -36 p
B) 6 p 2
C) 36 p 2
D) not a real number
Unlock Deck
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k this deck
29
Find the distance between the two points. (1, 9) and (-9, -3)
A)
B)
C) 61
D)
E)
A)
B)
C) 61
D)
E)
Unlock Deck
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Unlock Deck
k this deck
30
Simplify the radical expression. Assume that variables represent positive numbers.
A)
B) 8
C) 64 z 2
D)
A)
B) 8
C) 64 z 2
D)
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k this deck
31
Simplify the radical expression. Assume that variables represent positive numbers.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
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k this deck
32
Simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
33
Simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
34
Write using positive rational exponents.
A)
B)
C)
D)
E)
using positive rational exponents.A)
B)
C)
D)
E)
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Unlock for access to all 89 flashcards in this deck.
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k this deck
35
Perform the operation. Do not use negative exponents in the answer.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
36
Find the distance between two points. (2, 2) and (8, 10)
A) 10
B) 15
C) 13
D) 7
E) 16
A) 10
B) 15
C) 13
D) 7
E) 16
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k this deck
37
Simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
38
Simplify the expression. All variables represent positive real numbers.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
39
Simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
40
Perform the operation. Do not use negative exponents in the answer. Assume that all variables represent positive numbers.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
41
The formula relates the speed (in mph) of a car and the distance of the skid when a driver hits the brakes. How far will a car skid if it is going 52 mph on dry pavement? On dry pavement, .
A) about 73 ft
B) about 90 ft
C) about 113 ft
D) about 95 ft
E) about 106 ft
relates the speed (in mph) of a car and the distance of the skid when a driver hits the brakes. How far will a car skid if it is going 52 mph on dry pavement? On dry pavement, .A) about 73 ft
B) about 90 ft
C) about 113 ft
D) about 95 ft
E) about 106 ft
Unlock Deck
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k this deck
42
Multiply and simplify where possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
43
Find the following product and express your answer in simplest radical form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
44
The power generated by a windmill is related to the speed of the wind by the formula , where is the speed of the wind (in mph) and is the power (in watts). Find the speed of the wind when the windmill is producing 413 watts of power.
A) 27.07 mph
B) 28.99 mph
C) 28.25 mph
D) 27.44 mph
E) 27.56 mph
, where is the speed of the wind (in mph) and is the power (in watts). Find the speed of the wind when the windmill is producing 413 watts of power.A) 27.07 mph
B) 28.99 mph
C) 28.25 mph
D) 27.44 mph
E) 27.56 mph
Unlock Deck
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k this deck
45
Use the distributive property to help simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
46
Use the distributive property to help simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
47
Johannes Kepler discovered that a planet's mean distance from the sun (in astronomical units) is related to its period (in years) by the formula Find when and .
A) 19.17 AU
B) 15.34 AU
C) 17.25 AU
D) 18.58 AU
E) 13.42 AU
from the sun (in astronomical units) is related to its period (in years) by the formula Find when and .A) 19.17 AU
B) 15.34 AU
C) 17.25 AU
D) 18.58 AU
E) 13.42 AU
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Unlock Deck
k this deck
48
Find lengths of AC and BC, if AB = .
A) AC = , BC = 12
B) AC = 12, BC =
C) AC = , BC =
D) AC = 12, BC =
E) AC = , BC = 6
. A) AC =
, BC = 12B) AC = 12, BC =
C) AC =
, BC = D) AC = 12, BC =
E) AC =
, BC = 6 Unlock Deck
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k this deck
49
Rationalize the denominator and simplify. All variables represent positive real numbers.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
50
Rationalize the numerator of a fraction.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
51
Use the distributive property to help simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
52
Find the length of AB, if BC = .
A) 18
B)
C)
D)
E) 6
. A) 18
B)
C)
D)
E) 6
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k this deck
53
Rationalize the numerator of a fraction.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
54
Rationalize the denominator and simplify. The variables represent positive real numbers.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
55
Rationalize the numerator of a fraction.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
56
Solve the equation. Check all solutions.
A) 29
B) 25
C) 5
D) 31
E) no solution
A) 29
B) 25
C) 5
D) 31
E) no solution
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k this deck
57
Express the following expression in simplest radical form. All variables represent positive real numbers.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
58
Multiply and simplify where possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
59
Simplify the expression. Assume that all variables represent positive numbers.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
60
Find the length of AB, if BC = .
A) 4
B) 2
C) 3
D) 8
E) 16
. A) 4
B) 2
C) 3
D) 8
E) 16
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Unlock Deck
k this deck
61
Write in terms of i and simplify.
A)
B)
C)
D)
E)
in terms of i and simplify.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
62
Solve the equation. Write all solutions and then indicate which of those solutions are extraneous.
A) is extraneous
B) is extraneous
C)
D)
E)
A)
is extraneousB)
is extraneousC)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
63
Solve the equation. Check all solutions.
A) x = 0, x = is extraneous
B) x = 0, x = - is extraneous
C) x = 0, x =
D) x = 0, x = -
E) x = 0, x =
A) x = 0, x =
is extraneousB) x = 0, x = -
is extraneousC) x = 0, x =
D) x = 0, x = -
E) x = 0, x =
Unlock Deck
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Unlock Deck
k this deck
64
Solve the equation.
A) t = 6
B) t = 7
C) t = 5
D) t = 5, 6
E) no solution
A) t = 6
B) t = 7
C) t = 5
D) t = 5, 6
E) no solution
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k this deck
65
Solve the equation. Check all solutions.
A) 7
B) 7
C) 0
D) 7, 7
E) 0 is extraneous
A) 7
B)
7C) 0
D)
7, 7E) 0 is extraneous
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Unlock Deck
k this deck
66
Simplify the expression. Enter the answer in a + bi form.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
67
Write in terms of i , perform the indicated operations, and simplify.
A)
B)
C)
D)
E)
in terms of i , perform the indicated operations, and simplify.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
68
The period of a pendulum is the time it takes to swing from one side to the other side and back. The formula where T represents the time in seconds and L the length in feet, can be used to determine the period of a pendulum (see the figure). Find the period of a 4-feet pendulum. Express your answer to the nearest tenth of a second.
A) 2.4 seconds
B) 2.9 seconds
C) 2.2 seconds
D) 2.5 seconds
E) 0.8 seconds
where T represents the time in seconds and L the length in feet, can be used to determine the period of a pendulum (see the figure). Find the period of a 4-feet pendulum. Express your answer to the nearest tenth of a second.A) 2.4 seconds
B) 2.9 seconds
C) 2.2 seconds
D) 2.5 seconds
E) 0.8 seconds
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Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
69
Solve the formula for an indicated variable.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
70
Simplify the expression. Enter the answer in a + bi form.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
71
Write the expression in form.
A)
B)
C)
D)
E)
form. A)
B)
C)
D)
E)
Unlock Deck
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k this deck
72
Solve the equation. Check all solutions.
A) x = 12, x = - 9 is extraneous
B) x = 82, x = - 82 is extraneous
C) x = 12, x = - is extraneous
D) x = , x = -
E) x = 12, x = - 9
A) x = 12, x = - 9 is extraneous
B) x = 82, x = - 82 is extraneous
C) x = 12, x = -
is extraneousD) x =
, x = - E) x = 12, x = - 9
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
73
Perform the operation. Write the answer in a + bi form.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
74
Simplify the expression. Enter the answer in a + bi form.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
75
Write in terms of i and simplify.
A)
B)
C)
D)
E)
in terms of i and simplify.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
76
Use the following formula to find the speed of a car that left skid marks of 300 feet in length: where the coefficient of friction, , D is the distance skidded, and S is the speed of the car. Express your answer to the nearest mile per hour.
A) 47 miles per hour
B) 11 miles per hour
C) 60 miles per hour
D) 55 miles per hour
E) 67 miles per hour
where the coefficient of friction, , D is the distance skidded, and S is the speed of the car. Express your answer to the nearest mile per hour.A) 47 miles per hour
B) 11 miles per hour
C) 60 miles per hour
D) 55 miles per hour
E) 67 miles per hour
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
77
Solve the equation. Check all solutions.
A) 39
B) 64
C) 41
D) 52
E) no solution
A) 39
B) 64
C) 41
D) 52
E) no solution
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
78
Simplify the expression. Enter the answer in a + bi form.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
79
Solve the equation.
A) 0
B) 1
C) -1
D) -1, 1
E) no solution
A) 0
B) 1
C) -1
D) -1, 1
E) no solution
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Unlock Deck
k this deck
80
Solve the equation.
A) a = 36
B) a = 3
C) a = 9
D) a = 6
E) no solution
A) a = 36
B) a = 3
C) a = 9
D) a = 6
E) no solution
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 89 flashcards in this deck.
