Linear Equations Quiz 1 | Maths | Class 6

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1.) Solve: 2x + 5 = 15
Hint:   View2x+5= 15, 2x = 15-5, 2x = 10, x = 10/2, x = 5

2.) If 3x = 27, what is x?
Hint:   Viewx = 27/3, x = 9

3.) Solve: x - 8 = 12
Hint:   Viewx = 12+8 = 20

4.) If 5x + 2 = 17, find x.
Hint:   View5x+2= 17, 5x= 17-2, 5x= 15, x=15/5, x= 3

5.) Solve: 4x = 2x + 12
Hint:   View4x = 2x + 12, 4x-2x= 12, 2x = 12, x = 12/2, x = 6

6.) Solve: 2x + 5 = 35
Hint:   View2x+5= 35, 2x = 35-5, 2x = 30, x = 30/2, x = 15

7.) If 3x + 9 = 27, what is x?
Hint:   View3x + 9 = 27, 3x = 27 - 9, 3x = 18, x = 18/3, x = 6

8.) Solve: x - 28 = 12- 3x
Hint:   Viewx - 28 = 12- 3x, x + 3x = 12 + 28, 4x = 40, x = 40/4, x = 10

9.) (2/4)x + (1/3)x = x - 8
Hint:   View(2/4)x + (1/3)x = x - 8, (2/4)x + (1/3)x - x = -8, [(6 + 4 + 12)/12]x = -8, (22/12)x = -8, (11/6)x = -8, x = -8*6/11, x = -48/11

10.) Two numbers are in the ratio 10:16. If the sum of number is 572. Find the numbers
Hint:   ViewIf the ratio of two number is 10:16. then, the two numbers are 10x and 16x. The sum of two numbers are 572. 10x + 16x =572, 26x = 572, x = 572/26, x = 22. the numbers are 10x = 10*22 =220, 16x = 16*22=352.
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