Linear equations Test Paper

Question 1
Solve the following linear equations

1. $11 x + 10 = 10 x + 6$
2. $12 x + 5 = 5 x + 3$
3. $16 x + 9 = 9 x + 5$
4. $11 x + 2 = 2 x + 10$
5. $18 x + 4 = 4 x + 8$
6. $20 x + 10 = 10 x + 4$
7. $9 x + 6 = 6 x + 3$
8. $9 x + 3 = 3 x + 10$

Answers
Question 2
Solve:

1. $\frac{3 x + 8}{9 x + 4} = \frac{3}{8}$
2. $\frac{6 x + 3}{7 x + 4} = 2$
3. $\frac{7 x + 3}{9 x + 5} = \frac{7}{3}$
4. $\frac{5 x + 4}{10 x + 10} = \frac{5}{4}$
5. $\frac{6 x + 7}{x + 6} = \frac{6}{7}$
6. $\frac{x + 4}{2 x + 4} = \frac{1}{4}$

Answers


Question 3
Solve

1. $\frac{x}{8} + 6 = \frac{x}{6} + 2$
2. $\frac{x}{10} + 4 = \frac{x}{9} + 8$
3. $\frac{x}{10} + 6 = \frac{x}{3} + 8$
4. $\frac{x}{3} + 10 = \frac{x}{10} + 7$
5. $x + 5 = \frac{x}{8} + 9$
6. $\frac{x}{4} + 1 = \frac{x}{9} + 2$
7. $\frac{x}{8} + 9 = \frac{x}{10} + 6$
8. $\frac{x}{10} + 7 = \frac{x}{2} + 9$

Solution
Question 4
Solve each of the following equations
(a) $\frac {x+1}{4} = \frac {x-2}{2}$
(b) $1 -(p - 2) - [(p - 3) - (p - 1)] = 0$
(c) $7x - 7 = 21 -5x$
(d) $-7x = 84 +x$
(e)$0.25 (4m - 5) = 0.75m + 8$
(f) $3(x - 4) = 21$
(g)$\frac {3x}{2} - \frac {x}{3} = 8$
(h) $ \frac {y}{2} -\frac {1}{4}(y- \frac {1}{3}) = \frac {1}{6} (y+1) + \frac {1}{12}$
(i) 3(2z - 3) = 12(2z + 4)
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Question 5
The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers
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Question 6
A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers become twice of another new numbers. Find the original numbers.
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Question 7
The shifting of a number from one side of an equation to other is called
(a) Transposition
(b) Distributivity
(c) Commutativity
(d) Associativity
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Question 8
Crossword Puzzle

Across
1. Shifting of variable or constant from one side to another side
5. A statement formed when an equal sign in placed between two expressions.
7. The value of x for 2x -4=10
Down
2. The values for which the equation LHS equals RHS
3. If a term of an expression consists of a number multiplied by one or more variables, this number is the __________________ of the term
4. highest power of the variable in linear equation
6. Branch of mathematics concerned with operation by symbolic numbers
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Summary

This Test Paper for Linear equations Class 8 maths Chapter 2 is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feebback on the mail.

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<a href="https://physicscatalyst.com/class8/linear-equation-test-paper.php">Test Paper for Linear equations Class 8 maths Chapter 2</a> Also Read

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