تكلم مع الذكاء الاصطناعي
Deck 6: Section 1: Rational Expressions
ملء الشاشة (f)
سؤال
For the given ratio, find and equivalent ratio of integers in lowest terms. 
A) 39
B)
C)
D)
A) 39
B)
C)
D)
سؤال
Solve the equation. Watch for extraneous solutions. 
A) 2, -2
B) -2
C) No solution
D) 2
A) 2, -2
B) -2
C) No solution
D) 2
سؤال
Perform the indicated operations and write your result in lowest terms. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
A veterinarian is studying parasitic infections in German shepherds. Of the dogs studied, she discovered that one-third of the male German shepherds had some type of parasitic infection while one-fourth of the females had some type of parasitic infection. Furthermore, she found that one-sixth of the male dogs sampled were infected with the heartworm parasite and one-eighth of the females were infected with the heartworm parasite. What fraction of the parasitic infections were heartworm parasites? Assume that the study sampled the same number of males as females.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Perform the indicated operations and write your result in lowest terms.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Jimbo biked 20 miles at x mph. He then increased his speed by 6 mph and biked another 30 miles. Write a rational expression for Jimbo's total travel time.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Find the LCD for the given rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator.
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Simplify. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Reduce the given expression to lowest terms. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Reduce the given expression to lowest terms. 
A) z + 11
B)
C) z2 + 121
D) z - 11
A) z + 11
B)
C) z2 + 121
D) z - 11
سؤال
Build the rational expression into an equivalent rational expression with the indicated denominator. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Perform the indicated operations and write your result in lowest terms. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Solve the equation. 
A) -1, -2
B) 1, -2
C) 1, 2
D) 1
A) -1, -2
B) 1, -2
C) 1, 2
D) 1
سؤال
Marta averaged 
miles per hour for the x hours in which she drove home. Later, she drove another 
hour at the same rate to her parents' home. How many miles did she drive to her parents' house?
A)
B)
C)
D)
miles per hour for the x hours in which she drove home. Later, she drove another hour at the same rate to her parents' home. How many miles did she drive to her parents' house?A)
B)
C)
D)
سؤال
سؤال
Reduce the expression to lowest terms. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
سؤال
David hires a septic system contractor to dig trenches for his new septic tank. The cost to hire the contractor is a fixed cost of $150 plus an additional $80 per hour. Which expression below describes the average cost of an x-hour job?
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Reduce the expression to lowest terms. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
Find the indicated value for the given rational expression. 
A)
B)
C)
D)
A)
B)
C)
D)
سؤال
سؤال
سؤال
Solve the equation for y. 
A) y = 7x - 33
B) y = 7x - 38
C) y = 7x - 34
D) y = 7x - 42
A) y = 7x - 33
B) y = 7x - 38
C) y = 7x - 34
D) y = 7x - 42
سؤال
Solve the given equation. 
A) No solution
B) -6, 6
C) -6
D) 6
A) No solution
B) -6, 6
C) -6
D) 6
سؤال
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العب
ملء الشاشة (f)
Deck 6: Section 1: Rational Expressions
1
For the given ratio, find and equivalent ratio of integers in lowest terms.
A) 39
B)
C)
D)
A) 39
B)
C)
D)
2
Solve the equation. Watch for extraneous solutions.
A) 2, -2
B) -2
C) No solution
D) 2
A) 2, -2
B) -2
C) No solution
D) 2
2
3
Perform the indicated operations and write your result in lowest terms.
A)
B)
C)
D)
A)
B)
C)
D)
4
A veterinarian is studying parasitic infections in German shepherds. Of the dogs studied, she discovered that one-third of the male German shepherds had some type of parasitic infection while one-fourth of the females had some type of parasitic infection. Furthermore, she found that one-sixth of the male dogs sampled were infected with the heartworm parasite and one-eighth of the females were infected with the heartworm parasite. What fraction of the parasitic infections were heartworm parasites? Assume that the study sampled the same number of males as females.
A)
B)
C)
D)
A)
B)
C)
D)
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5
Perform the indicated operations and write your result in lowest terms.
A)
B)
C)
D)
A)
B)
C)
D)
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6
Jimbo biked 20 miles at x mph. He then increased his speed by 6 mph and biked another 30 miles. Write a rational expression for Jimbo's total travel time.
A)
B)
C)
D)
A)
B)
C)
D)
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7
Find the LCD for the given rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator.
A)
B)
C)
D)
A)
B)
C)
D)
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8
Simplify.
A)
B)
C)
D)
A)
B)
C)
D)
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9
Reduce the given expression to lowest terms.
A)
B)
C)
D)
A)
B)
C)
D)
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10
Reduce the given expression to lowest terms.
A) z + 11
B)
C) z2 + 121
D) z - 11
A) z + 11
B)
C) z2 + 121
D) z - 11
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11
Build the rational expression into an equivalent rational expression with the indicated denominator.
A)
B)
C)
D)
A)
B)
C)
D)
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12
Perform the indicated operations and write your result in lowest terms.
A)
B)
C)
D)
A)
B)
C)
D)
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13
Solve the equation.
A) -1, -2
B) 1, -2
C) 1, 2
D) 1
A) -1, -2
B) 1, -2
C) 1, 2
D) 1
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14
Marta averaged miles per hour for the x hours in which she drove home. Later, she drove another hour at the same rate to her parents' home. How many miles did she drive to her parents' house?
A)
B)
C)
D)
miles per hour for the x hours in which she drove home. Later, she drove another hour at the same rate to her parents' home. How many miles did she drive to her parents' house?A)
B)
C)
D)
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15
Among 100 college students, 45 said they study 11 or more hours per week while the rest said they did not. What is the ratio of those students who study at least 11 hours per week to those that do not?
A) 9 to 11
B) 20 to 11
C) 9 to 20
D) 11 to 9
A) 9 to 11
B) 20 to 11
C) 9 to 20
D) 11 to 9
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16
Reduce the expression to lowest terms.
A)
B)
C)
D)
A)
B)
C)
D)
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17
Find the least common multiple of the given terms. r2 - 8r - 9, r2 - 18r + 81
A) (r - 9)
B) (r + 1)(r - 9)
C) (r + 1)(r - 9)2
D) (r + 1)(r - 9)(r + 9)
A) (r - 9)
B) (r + 1)(r - 9)
C) (r + 1)(r - 9)2
D) (r + 1)(r - 9)(r + 9)
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18
David hires a septic system contractor to dig trenches for his new septic tank. The cost to hire the contractor is a fixed cost of $150 plus an additional $80 per hour. Which expression below describes the average cost of an x-hour job?
A)
B)
C)
D)
A)
B)
C)
D)
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19
Reduce the expression to lowest terms.
A)
B)
C)
D)
A)
B)
C)
D)
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20
Find the indicated value for the given rational expression.
A)
B)
C)
D)
A)
B)
C)
D)
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21
Brandi bought a total of 6 lb of flounder and shrimp and paid $16 for the flounder and $16 for the shrimp. If the price per pound of the shrimp is twice that of the flounder, how many pounds of each did she buy?
A) 3 lb shrimp and 3 lb flounder
B) 1 lb shrimp and 5 lb flounder
C) 2 lb shrimp and 4 lb flounder
D) 4 lb shrimp and 2 lb flounder
A) 3 lb shrimp and 3 lb flounder
B) 1 lb shrimp and 5 lb flounder
C) 2 lb shrimp and 4 lb flounder
D) 4 lb shrimp and 2 lb flounder
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22
A large pump can fill a 73,000 gallon reservoir in 7 hours. Working together, the large pump and a smaller one can fill the reservoir in 6 hours. How long would it take the smaller pump to fill the reservoir by itself?
A) 41 hours
B) 42 hours
C) 44 hours
D) 43 hours
A) 41 hours
B) 42 hours
C) 44 hours
D) 43 hours
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23
Solve the equation for y.
A) y = 7x - 33
B) y = 7x - 38
C) y = 7x - 34
D) y = 7x - 42
A) y = 7x - 33
B) y = 7x - 38
C) y = 7x - 34
D) y = 7x - 42
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24
Solve the given equation.
A) No solution
B) -6, 6
C) -6
D) 6
A) No solution
B) -6, 6
C) -6
D) 6
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25
Cora can paddle her canoe 14 miles in the same time that Susan's motorboat covers 42 miles. If Susan's boat travels 14 mph faster than Cora's canoe, then how fast is Susan's boat?
A) 23 mph
B) 21 mph
C) 7 mph
D) 22 mph
A) 23 mph
B) 21 mph
C) 7 mph
D) 22 mph
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