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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
6.25 Equations With Decimal Coefficients - I

Example: Solve the equation (2.1)x + 0.04 = 5.6.
Solution:
Writing decimals as common fractions, we have
21x/10 + 4/100 = 56/10
L.C.M. of denominators 10 and 100 is 100.
\ Multiplying both sides of the equation by 100.
210x + 4 = 560
210x = 560 - 4
210x = 556
x = 556/210
x = 278/105

Verification:
Substitute x = 278/105 in the equation
L.H.S. (2.1)x + 0.04 = 2.1 * 278/105 + 0.04
583.8/105 + 0.04 5.56 + 0.04 = 5.6 = R.H.S.
\ x = 278/105 is the solution.


Directions: Solve the following equations. Also write at least ten examples of your own.
Q 1: Solve the equation (5.6)x - 3.1 = 2.5.
3
2
1

Q 2: Solve the equation (1.5)x - 0.1 = 2.9.
6
2
3

Q 3: Solve the equation (2.2)x + 1.05 = 3.6.
51/44
44
51

Q 4: Solve the equation (2.5)x - 1 = 6.5.
2
6
3

Q 5: Solve the equation (5.1)x + 0.04 = 2.6.
128/255
148/255
225

Q 6: Solve the equation (3.4)x + 0.01 = 3.5.
315
349/340
351/340

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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