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Section 4-8 : Rational Functions
Sketch the graph of each of the following functions. Clearly identify all intercepts and asymptotes.
- \( \displaystyle f\left( x \right) = \frac{{ - 4}}{{x - 2}}\) Solution
- \( \displaystyle f\left( x \right) = \frac{{6 - 2x}}{{1 - x}}\) Solution
- \( \displaystyle f\left( x \right) = \frac{8}{{{x^2} + x - 6}}\) Solution
- \( \displaystyle f\left( x \right) = \frac{{4{x^2} - 36}}{{{x^2} - 2x - 8}}\) Solution
Practice the questions given in the worksheet on word problems on rational numbers. The questions are related to various types of word problems on four fundamental operations on rational numbers.
1. From a rope 11 m long, two pieces of lengths 13/5 m and 33/10 m are cut off. What is the length of the remaining rope?
2. A drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum.
3. A basket contains three types of fruits weighing 58/3 kg in all. If 73/9 kg of these be apples, 19/6 kg be oranges and the rest pears. What is the weight of the pears in the basket?
4. On one day a rickshaw puller earned $80. Out of his earnings he spent $68/5 on tea and snacks, $51/2 on food and $22/5 on repairs of the rickshaw. How much did he save on that day?
5. Find the cost of 17/5 meters of cloth at $147/4 per meter.
6. A car is moving at an average speed of 202/5 km/hr. How much distance will it cover in 15/2 hours?
7. Find the area of a rectangular park which is 183/5 m long and 50/3 m broad.
8. Find the area of a square plot of land whose each side measures 17/2 meters.
9. One liter of petrol costs $187/4. What is the cost of 35 liters of petrol?
10. An airplane covers 1020 km in an hour. How much distance will it cover in 25/6 hours?
11. The cost of 7/2 meters of cloth is $231/4. What is the cost of one meter of cloth?
12. A cord of length 143/2 m has been cut into 26 pieces of equal length. What is the length of each piece?
13. The area of a room is 261/4 m\(^{2}\). If its breadth is 87/16 meters, what is its length?
14. The product of two rational numbers is 48/5. If one of the rational number is 66/7, find the other rational number.
15. Rita had $300. She spent 1/3 of her money on notebooks and 1/4 of the remainder on stationery items. How much money is left with her?
16. Adrian earns $16000 per month. He spends 1/4 of his income on food; 3/10 of the remainder on house rent and 5/21 of the remainder on the education of children. How much money is still left with him?
Answers
for the worksheet on word problems on rational numbers are given below to check the exact answers of the above rational problems.
Answers:
1. 51/10 m
2. 317/12 kg
3. 145/18 kg
4. $73/2
5. $2499/20
6. 303 km
7. 610 m\(^{2}\)
8. 289/4 m\(^{2}\)
9. $6545/4
10. 4250 km
11. $33/2
12. 11/4 m
13. 12 m
14. 56/55
15. $150
16. $6400
● Rational Numbers - Worksheets
Worksheet on Rational Numbers
Worksheet on
Equivalent Rational Numbers
Worksheet on Lowest form of a Rational Number
Worksheet on Standard form of a Rational Number
Worksheet on Equality of Rational Numbers
Worksheet on Comparison of Rational Numbers
Worksheet on Representation of Rational Number on a Number Line
Worksheet on Adding Rational Numbers
Worksheet on Properties of Addition of Rational Numbers
Worksheet on Subtracting Rational Numbers
Worksheet on Addition and Subtraction of Rational Number
Worksheet on Rational Expressions Involving Sum and Difference
Worksheet on Multiplication of Rational Number
Worksheet on Properties of Multiplication of Rational Numbers
Worksheet on Division of Rational Numbers
Worksheet on Properties of Division of Rational Numbers
Worksheet on Finding Rational Numbers between Two Rational Numbers
Worksheet on Word Problems on Rational Numbers
Worksheet on Operations on Rational Expressions
Objective Questions on Rational Numbers
Math Homework Sheets
8th Grade Math Practice
From Worksheet on Word Problems on Rational Numbers to HOME PAGE
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