Linear Equations in One Variable Worksheet 1 with Answers
1.
If one-half of a number is greater than its
one-third by 4, find the number.
2.
Solve the following equations:
a.
7x + 3 = 3x – 17
b.
2y – 6 = –2y + 2
c.
5x + 9 + 2x = – 12
d.
3x + 5 = 26 – 4x
e.
4a – a + 5 = 28 – 2a
f.
2 (x + 3) = 16
3.
Think of a number x, add 10 to it. If
the result is 35, find x.
4.
Match each of the following with the correct
answers:
a.
A linear equation is of degree i. –2
b. If any number is added or
subtracted on
both sides of an equation, the
equation is ii.
14
c.
If 4x + 7x + 3 = –19, then x is equal to iii.
1
d. Perimeter of triangle with sides x
+ 2, x + 4, x + 6 is 54. Hence, x is iv.
unchanged
5. Sum of three consecutive numbers is 24. If the
smallest number is x, find the numbers.
6.
Fill in the blanks.
a. If 5 is subtracted from both the
sides of the equation x/2 + 7 = x/5, then the equation remains ___________.
b.
If B’s age is 5 times A’s age, then 10 years hence B’s age equals to
___________.
c.
The power of the variable x in linear equation is ___________.
7.
On multiplying 3 with twice a number less by
5, we get 27. Find the number.
8.
State true or false for each of the following:
a.
If a number is added on either side of an equation, it remains unchanged.
b.
A number when increased by 7 is equal to 12, then the number is 19.
c.
If x + 7 = 3, then 3x + 21 = 9.
d.
If the sum of three consecutive numbers is 15, then the numbers are 4, 5 and 6.
9.
What is the length of each side of a square,
if its perimeter is 60 cm?
Linear Equations in One Variable Worksheet 2 with Answers
1. When 11 is added with twice a number, it is equal to 3 added to
thrice of it. Find the number.
2.
Fill in the blanks:
a.
If 5x = 15, then x = ___________.
b.
If 3a + 5 = 11, then a = ___________.
c.
If the cost of 5 pens is ₹30, then the cost of one pen is ___________.
d.
If 3x = – 15, then 7x = ___________.
3.
Solve for x:
a.
2x – 14 = 0
b.
5x – 10 = – 5
4. A girl is 5 years older than her brother. The sum of their ages is
25. Find their ages.
5.
Solve for y:
a.
2y + 6 = –3y – 4
b.
2y – 3 – y = 11
6. The sum of three consecutive even numbers is 15. Taking least one
as x, form an equation from this and then solve it.
7. Mohan takes twice as much time to get ready
than to eat breakfast. If he finishes both the things in 45 minutes, how much
does he take for each activity?
8.
Choose correct answer for each of the
following from the given options:
a.
An equation with one variable is called a
i. linear equation
ii. simultaneous equation
iii. equation
iv. statement
b.
A number x increased by 10 equal to 22, is written as
i. x = 32
ii. x = – 12
iii. x + 22 = 10
iv. x + 10 = 22
c.
Sum of three consecutive even number where x is the smallest is written
as
i. x + 6
ii. x + x + 2 + x + 4
iii. 3(x + 4)
iv. x + x
+ 1 + x +2
d.
If 2x + 4 = 10, then x is equal to
i. 7
ii. 3
iii. 12
iv. 4
9.
State true or false for each of the following:
a.
A linear equation has one variable with degree two.
b.
If 3x + 5 = 2x + 7, then 3x + 5 – 8 = 2x + 7 – 8.
c. A father is three times his son’s
age and the sum of their ages is 64. Therefore, father’s age is 40 years.
d. If x/3 + x/5 = 32, then x = 60.
Linear Equations in One Variable Worksheet 3 with Answers
1. Priti had x number of sweets. She distributed them among 10
friends. If each friend received 5 sweets, find x.
2. Fill in the blanks.
a.
If two consecutive odd numbers add upto 44, then the numbers are ___________
and ___________.
b.
If 4x + 2x – x + 7 = 32, then x is equal to
___________.
c.
Perimeter of a triangle whose sides are x, 3x and 2x + 8
is equal to ___________.
d.
The angles of a triangle are 2x°, 3x° and 5x°, then x is
equal to ___________.
3.
Solve each of the following equations:
a.
5x + 3 = 13
b.
2x + 3 + 4x = 27
c.
2x – 15 + 3x = 0
d.
4 – 7x = 18
e.
3x + 2 = –13
f.
2x – 5 – x = 5
4.
Write the algebraic expression for two-third
of a number exceeds 5 by 1.
5.
Sum of two consecutive odd numbers is 16. Find
the numbers.
6.
Choose the correct answer for each of the
following:
a.
If 3 is added on both sides of the equation 3x + 5 = 8, then the
equation
i. changes
ii. is unchanged
iii. decreases by 3
iv. increases by 3
b.
The equation of the statement ‘three times a number added to 15 gives 30’ is
i. 3x + 30 = 15
ii. 3x = 45
iii. 3x + 15 = 30
iv. x = –5
c.
If 2(x + 5) + 4(x – 5) = 14, then x is equal to
i. 4
ii. 6
iii. 12
iv. 7
d.
If A’s age is four times B’s age and sum of their ages is 60, then B’s age is
i. 12
ii. 48
iii. 24
iv. 60
7.
If father is five years more than three times
as old as his son and the sum of their ages is 57, find the age of each of
them.
8.
Match each of the following with the correct
answer:
a. If a number is multiplied by 5 and
then 15 taken away,
the result is 20. The number is i.
x + c
b.
An equation with one variable added to a constant c is ii. 7
c. If a term of an equation is
transposed from one side to
the other side the sign iii.
changes
9.
Solve for x:
3.85x
+ 5x = 265.5
10. If the number of mathematics books is 60 more
than the number of science books, find how many books of each type are there?
ANSWERS
Worksheet
1
1. 24
2. a. x = -5 b. y = 2
c. x = -3 d. x = 3
e. a = 23/5 f. x = 5
3. 35
4. a. iii b. iv
c. i d. ii
5. 7, 8, 9
6. a. unchanged
b. (5x + 10) years
c. one
7. 7
8. a. False b. False
c. True d. True
9. 15 cm
Worksheet 2
1. 8
2. a. 3 b. 2
c. ₹ 6 d. -35
3. a. x = 7 b. x = 1
4. 10 year, 15 years
5. a. y = -2 b. y =
14
6. x + x + 1 + x + 2 = 15,
x = 4
7. 15 minutes for breakfast;
30 minutes to get ready
8. a. i b. iv
c. ii d. ii
9. a. False b. True
c. False d. True
Worksheet 3
1. 50
2. a. 21, 23 b. 5
c. 6x + 8 d. 18°
3. a. x = 2 b. x =
4
c. x = 3 d. x = -2
e. x = -5 f. x = 10
4. 2x/3 + 1 = 5
5. 7, 9
6. a. ii b. iii
c. i d. i
7. 13 years, 44 years
8. a. ii b. i c. iii
9. x = 52.33
10. x, x + 60
MCQs Questions for Class 6 Maths
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1. Knowing our numbers class 6 worksheets
2. Integers questions for class 6
3. HCF and LCM questions for class 6
4. Fraction questions for class 6
6. Exponents and powers extra questions
7. Algebraic expressions for class 6 worksheets
9. Ratio and proportion class 6 worksheet
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12. Simple interest questions for class 6
13. Basic geometrical ideas class 6 worksheet
14. Worksheet on angles for class 6
15. Parallel lines and transversal worksheet
17. Triangles worksheet for class 6
18. Construction questions for class 6
19. Symmetry class 6 worksheet
20. Perimeter and area class 6 worksheets
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