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Worksheet For Linear Equation

The document contains 20 word problems involving linear equations. The problems cover topics such as solving one-step and two-step equations, finding lengths and ratios given perimeters, finding present ages based on future ages, and converting statements to equations.

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Nilesh Nagrale
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796 views2 pages

Worksheet For Linear Equation

The document contains 20 word problems involving linear equations. The problems cover topics such as solving one-step and two-step equations, finding lengths and ratios given perimeters, finding present ages based on future ages, and converting statements to equations.

Uploaded by

Nilesh Nagrale
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Worksheet for Linear Equation

1.The solution of 2x – 3 = 7 is:


2.Which of the following is not a linear equation.
3. The present age of Sahil’s mother is three times the present age of Sahil. After 5 years their ages
will add to 66 years. Find the present age of Sahil.
4. Find the solution of 2x + 3 = 7
5. Solve: 8x = 20 + 3x
6. Solve:
7. Solve:
8. Find the solution of

9. Find the solution of


10. Solve: 8x + 3 = 27
11. Solve : 5x – 7 = 2x + 8
12. The perimeter of a rectangle is 13 cm and its width is 2 cm. Find its length in cm
13. Two numbers are in the ratio 5 : 3. If they differ by 18, what are the numbers?
14. Solve: 2x -3 = x + 2
15. Solve: 3x = 2x + 18
16. Solve: 5t – 3 = 3t – 5
17. Solve: 5x + 9 = 5 + 3x
18. Solve: 4z + 3 = 6 + 2z
19. Solve: 2x – 1 = 14 – x
20. Solve: 8x + 4 = 3(x – 1) + 7
Q.1 The two perpendicular sides of a right angled triangle are in the ratio 3:4 and it’s perimeter
is 96 cm. Find the three sides.

Q.2 Maira has a total of ` 1040 as currency notes in the denomination of ` 10, ` 20 and ` 50. The
ratio of the number of ` 10 notes and ` 20 notes is 2:5. If she has a total of 30 notes, how many
notes of each denomination she has.

Q.3 Twenty years from now, I will be 4 times as old as my present age. What is my present ag

Q.4 The sum of two numbers is 11 and their difference is 5. Find the numbers.

Q. 5 A fruit seller buys some oranges at the rate of ₹ 5 per orange. He also buys an equal
number of bananas at the rate of ₹ 2 per banana. He makes a profit of 20% on oranges and a
profit of 15% on bananas. In the end, he sold all the fruits. If he earned a profit of ₹ 390, find
the number of oranges.

Q 6. Convert the following statements into equations.


(a) 3 added to a number is 11
(b) 2 subtracted from a number is equal to 15.
(c) 3 times a number decreased by 2 is 4.
(d) 2 times the sum of the number x and 7 is 13.

Q. 7 .Verify that x = 2 is the solution of the equation 4.4x – 3.8 = 5.

Q. 8. Solve the given equation 3 (1/x) × 5(1/4) = 17(1/2)

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