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Deck 4: Rational Expressions
Full screen (f)
Question
Perform the multiplication. Simplify the answer, if possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero. 
A)
B)
C)
D)
E)in lowest terms
A)
B)
C)
D)
E)in lowest terms
Question
Perform the indicated division and express your answer in simplest form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the quotient. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Express the rational number in reduced form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the multiplication. Simplify the answer, if possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the fraction to lowest terms. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Multiply and reduce your answer to lowest terms. 
A)
B)
C)-1
D)1
E)
A)
B)
C)-1
D)1
E)
Question
Simplify the rational expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the multiplication. Simplify the result when possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the indicated division. 
A)
B)2
C)
D)
E)
A)
B)2
C)
D)
E)
Question
Find the quotient. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operations. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation. 
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
Question
Perform the indicated division and express your answer in simplest form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero. 
A)
B)
C)
D)
E)in lowest terms
A)
B)
C)
D)
E)in lowest terms
Question
Perform the multiplication. Simplify the answer, if possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the multiplication. Simplify the answer, if possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the quotient. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Express the rational number in reduced form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the indicated operation and express your answer in simplest form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the complex fraction. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the division. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use synthetic division to perform the division. 
Question
Solve the equation. 
A)n = -6
B)n = -12
C)n = 6
D)n = 8
E)n = -9
A)n = -6
B)n = -12
C)n = 6
D)n = 8
E)n = -9
Question
Perform the division. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Do the addition. Simplify the result when possible. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the complex fraction. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the division. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation involving rational numbers. Be sure to express your answer in reduced form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use a calculator and synthetic division to perform the division. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Simplify the complex fraction. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Add the rational expressions. Be sure to express your answer in simplest form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use synthetic division to perform the division. 
A)x + 10
B)x + 7
C)x - 7
D)x - 8
E)x - 10
A)x + 10
B)x + 7
C)x - 7
D)x - 8
E)x - 10
Question
Perform the indicated operations involving rational numbers. Express the final answer in reduced form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the operation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the equation. 
A)y = -4
B)y = -5
C)y = -19
D)y = -22
E)y = -20
A)y = -4
B)y = -5
C)y = -19
D)y = -22
E)y = -20
Question
Perform the indicated operation and express your answer in simplest form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Perform the indicated operation and express your answer in simplest form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Add or subtract the rational expressions. Be sure to express your answer in simplest form. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the equation. 
A){3, -1 }
B){ -1}
C){3}
D){4, -1}
E){-3, 1}
A){3, -1 }
B){ -1}
C){3}
D){4, -1}
E){-3, 1}
Question
Solve the proportion for the variable. 
A)22
B)23
C)16
D)25
E)20
A)22
B)23
C)16
D)25
E)20
Question
Question
Use similar triangles to help solve the problem. A tree casts a shadow of 24 feet at the same time as a 5-foot tall man casts a shadow of 4 feet. Find the height of the tree. 
A)h = 27 ft
B)h = 42 ft
C)h = 30 ft
D)h = 35 ft
E)h = 22 ft
A)h = 27 ft
B)h = 42 ft
C)h = 30 ft
D)h = 35 ft
E)h = 22 ft
Question
Solve the equation. 
A){ 0, 1 }
B){ 0, -1 }
C){ 0 }
D){ -1 }
E){ 1 }
A){ 0, 1 }
B){ 0, -1 }
C){ 0 }
D){ -1 }
E){ 1 }
Question
Question
Use similar triangles to help solve the problem. An airplane ascends 160 feet as it flies a horizontal distance of 1,000 feet. How much altitude will it gain as it flies a horizontal distance of 1 mile? ( Hint: 5,280 feet = 1 mile.)Round your answer to the nearest integer. 
A)x = 870 ft
B)x = 813 ft
C)x = 845 ft
D)x = 885 ft
E)x = 833 ft
A)x = 870 ft
B)x = 813 ft
C)x = 845 ft
D)x = 885 ft
E)x = 833 ft
Question
Question
Use similar triangles to help solve the problem. A man places a mirror on the ground and sees the reflection of the top of a flagpole as shown in the figure below. The two triangles in the figure are similar. Find the height h of the flagpole. 
a = 11, b = 7, c = 31
A)
ft
B)
ft
C)
D)
a = 11, b = 7, c = 31A)
ftB)
ftC)
D)
Question
Solve the following equation for the variable x . 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the following equation for the variable y . 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the equation. 
A)a = 10
B)a = -5
C)a = 2
D)a = 5
E)a = 8
A)a = 10
B)a = -5
C)a = 2
D)a = 5
E)a = 8
Question
Question
Solve the equation. 
A){1}
B){0, 9}
C){3}
D){0, 3}
E){-3}
A){1}
B){0, 9}
C){3}
D){0, 3}
E){-3}
Question
Solve the following equation for the variable x . 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve for the variable in the proportion. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Full screen (f)
Deck 4: Rational Expressions
1
Perform the multiplication. Simplify the answer, if possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero.
A)
B)
C)
D)
E)in lowest terms
A)
B)
C)
D)
E)in lowest terms
3
Perform the indicated division and express your answer in simplest form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Find the quotient.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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5
Express the rational number in reduced form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Perform the multiplication. Simplify the answer, if possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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7
Simplify the fraction to lowest terms.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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8
Multiply and reduce your answer to lowest terms.
A)
B)
C)-1
D)1
E)
A)
B)
C)-1
D)1
E)
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9
Simplify the rational expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
Perform the multiplication. Simplify the result when possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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11
Perform the indicated division.
A)
B)2
C)
D)
E)
A)
B)2
C)
D)
E)
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12
Find the quotient.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Perform the operations.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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14
Perform the operation.
A)
B)
C)
D)
E)none of these
A)
B)
C)
D)
E)none of these
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15
Perform the indicated division and express your answer in simplest form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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16
Write the expression in lowest terms. If the expression is already in lowest terms, so indicate. Assume that the denominator does not equal zero.
A)
B)
C)
D)
E)in lowest terms
A)
B)
C)
D)
E)in lowest terms
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17
Perform the multiplication. Simplify the answer, if possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Perform the multiplication. Simplify the answer, if possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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19
Find the quotient.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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20
Express the rational number in reduced form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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21
Perform the indicated operation and express your answer in simplest form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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22
Simplify the complex fraction.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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23
Perform the division.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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24
Use synthetic division to perform the division.
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25
Solve the equation.
A)n = -6
B)n = -12
C)n = 6
D)n = 8
E)n = -9
A)n = -6
B)n = -12
C)n = 6
D)n = 8
E)n = -9
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26
Perform the division.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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27
Do the addition. Simplify the result when possible.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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28
Simplify the complex fraction.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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29
Perform the division.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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30
Perform the operation involving rational numbers. Be sure to express your answer in reduced form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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31
Use a calculator and synthetic division to perform the division.
A)
B)
C)
D)
A)
B)
C)
D)
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32
Simplify the complex fraction.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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33
Add the rational expressions. Be sure to express your answer in simplest form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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34
Use synthetic division to perform the division.
A)x + 10
B)x + 7
C)x - 7
D)x - 8
E)x - 10
A)x + 10
B)x + 7
C)x - 7
D)x - 8
E)x - 10
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35
Perform the indicated operations involving rational numbers. Express the final answer in reduced form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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36
Perform the operation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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37
Solve the equation.
A)y = -4
B)y = -5
C)y = -19
D)y = -22
E)y = -20
A)y = -4
B)y = -5
C)y = -19
D)y = -22
E)y = -20
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38
Perform the indicated operation and express your answer in simplest form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 56 flashcards in this deck.
Unlock Deck
k this deck
39
Perform the indicated operation and express your answer in simplest form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 56 flashcards in this deck.
Unlock Deck
k this deck
40
Add or subtract the rational expressions. Be sure to express your answer in simplest form.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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41
Solve the equation.
A){3, -1 }
B){ -1}
C){3}
D){4, -1}
E){-3, 1}
A){3, -1 }
B){ -1}
C){3}
D){4, -1}
E){-3, 1}
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42
Solve the proportion for the variable.
A)22
B)23
C)16
D)25
E)20
A)22
B)23
C)16
D)25
E)20
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43
To travel 68 miles, it takes Sue, riding a moped, 4 hours less time than it takes Doreen to travel 80 miles riding a bicycle. Sue travels 7 miles per hour faster than Doreen. Find the times and rates of both girls.
A)Sue: 17 mph for 4 hours, Doreen: 10 mph for 8 hours
B)Sue: 10 mph for 4 hours, Doreen: 17 mph for 8 hours
C)Sue: 21 mph for 8 hours, Doreen: 14 mph for 12 hours
D)Sue: 4 mph for 17 hours, Doreen: 10 mph for 8 hours
E)Sue: 27 mph for 4 hours, Doreen: 20 mph for 8 hours
A)Sue: 17 mph for 4 hours, Doreen: 10 mph for 8 hours
B)Sue: 10 mph for 4 hours, Doreen: 17 mph for 8 hours
C)Sue: 21 mph for 8 hours, Doreen: 14 mph for 12 hours
D)Sue: 4 mph for 17 hours, Doreen: 10 mph for 8 hours
E)Sue: 27 mph for 4 hours, Doreen: 20 mph for 8 hours
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44
Use similar triangles to help solve the problem. A tree casts a shadow of 24 feet at the same time as a 5-foot tall man casts a shadow of 4 feet. Find the height of the tree.
A)h = 27 ft
B)h = 42 ft
C)h = 30 ft
D)h = 35 ft
E)h = 22 ft
A)h = 27 ft
B)h = 42 ft
C)h = 30 ft
D)h = 35 ft
E)h = 22 ft
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45
Solve the equation.
A){ 0, 1 }
B){ 0, -1 }
C){ 0 }
D){ -1 }
E){ 1 }
A){ 0, 1 }
B){ 0, -1 }
C){ 0 }
D){ -1 }
E){ 1 }
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46
A school board has determined that there should be 3 teachers for every 50 students. How many teachers are needed for an enrollment of 2,650 students?
A)134 teachers
B)148 teachers
C)159 teachers
D)143 teachers
E)216 teachers
A)134 teachers
B)148 teachers
C)159 teachers
D)143 teachers
E)216 teachers
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47
Use similar triangles to help solve the problem. An airplane ascends 160 feet as it flies a horizontal distance of 1,000 feet. How much altitude will it gain as it flies a horizontal distance of 1 mile? ( Hint: 5,280 feet = 1 mile.)Round your answer to the nearest integer.
A)x = 870 ft
B)x = 813 ft
C)x = 845 ft
D)x = 885 ft
E)x = 833 ft
A)x = 870 ft
B)x = 813 ft
C)x = 845 ft
D)x = 885 ft
E)x = 833 ft
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48
An inlet pipe can fill a tank in 8 minutes. A drain can empty the tank in 10 minutes. If the tank is empty and both the pipe and drain are open, how long will it take before the tank overflows?
A)38 minutes
B)20 minutes
C)2 minutes
D)50 minutes
E)40 minutes
A)38 minutes
B)20 minutes
C)2 minutes
D)50 minutes
E)40 minutes
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49
Use similar triangles to help solve the problem. A man places a mirror on the ground and sees the reflection of the top of a flagpole as shown in the figure below. The two triangles in the figure are similar. Find the height h of the flagpole. a = 11, b = 7, c = 31
A) ft
B) ft
C)
D)
a = 11, b = 7, c = 31A)
ftB)
ftC)
D)
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50
Solve the following equation for the variable x .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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51
Solve the following equation for the variable y .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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52
Solve the equation.
A)a = 10
B)a = -5
C)a = 2
D)a = 5
E)a = 8
A)a = 10
B)a = -5
C)a = 2
D)a = 5
E)a = 8
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k this deck
53
Kent drives his Mazda 270 miles in the same time that Dave drives his Nissan 250 miles. If Kent averages 4 miles per hour faster than Dave, find their rates.
A)46 mph for Dave and 50 mph for Kent
B)45 mph for Dave and 49 mph for Kent
C)60 mph for Dave and 64 mph for Kent
D)50 mph for Dave and 54 mph for Kent
E)54 mph for Dave and 46 mph for Kent
A)46 mph for Dave and 50 mph for Kent
B)45 mph for Dave and 49 mph for Kent
C)60 mph for Dave and 64 mph for Kent
D)50 mph for Dave and 54 mph for Kent
E)54 mph for Dave and 46 mph for Kent
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54
Solve the equation.
A){1}
B){0, 9}
C){3}
D){0, 3}
E){-3}
A){1}
B){0, 9}
C){3}
D){0, 3}
E){-3}
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Unlock Deck
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55
Solve the following equation for the variable x .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 56 flashcards in this deck.
Unlock Deck
k this deck
56
Solve for the variable in the proportion.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 56 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 56 flashcards in this deck.
