Question

The number which when added to its half gives 30. The number is :*

1 point

10

20

40

60

5. If a and b are positive integers , then the solution of the equation ax=b will always be a : *

1 point

positive number

Negative number

1

0

6. The solution of which of the following equations is neither a positive fraction nor an integer ? *

1 point

2x+6=0

3x−5=0

5x−8=x+4

4x+7=x+2

7. The equation having 5 as a solution is : *

1 point

4x+1=2

3−x=8

x−5=3

3+x=8

8. Which of the following equations can not be formed using the equation x=7 ? *

1 point

2x+1=15

7x−1=50

x−3=4

x/7−1=0​

Answer 1

Answer:

4)Let the number be x.

x + (x/2) = 30

3x= 30×2

x = 10×20 = 20.

Number is 20

Step-by-step explanation:

5)IF A AND B ARE POSITIVE INTEGERS THEN AX=B  WILL BE A

Step-by-step explanation:  

IF X= POSITIVE INTEGER THEN,

AX=B GIVES RISE   POSITIVE X POSITIVE= POSITIVE

AND IF X=NEGATIVE INTEGER THEN,

AX=B GIVES RISE  POSITIVE X NEGATIVE = POSITIVE ,SO WHEN THIS NEGATIVE NUMBER CROSSES = IT BECOMES POSITIVE

THEREFORE  

If a and b are positive integer then the

Solution of the equation ax=b will always be a  POSITIVE  NUMBER

6)(a) 2x + 6 = 0

2x = -6

x = -3 ( only negative)

(b) 3x – 5=0

3x = 5

x = 5/3 ( not an integer but its positive)

(c) 5x – 8 = x + 4

5x -x = 4+8

4x = 12

x = 3 (positive)

(d) 4x + 7 = x + 2

4x -x = 2-7

3x = -5

x = -5/3 ( negative also and not an interger also , so its correct

7)Option (d) 3+x=8;x=5

I hope it will helps you

MARK IT AS BRAINLIST

Answer 2

QUESTION 4

SOLUTION

Let the number be x,

According to the question,

⇒ Number + Half of the Number = 30

⇒ x + x/2 = 30

⇒ (2x + x)/2 = 30

⇒ 3x = 60

⇒ x = 20

Hence, The given number is 20.

_______________________________

QUESTION 5

SOLUTION

Given, ax = b is a equation where a and b are positive integers will always be a positive integer.

Because, In the given linear equation, We see that the numbers on both sides must be positive, because a negative number (ax) can't be equal to a positive number (b)

So, In order to make the condition remain true, x must be positive.

Hence, the solution will be a positive number.

_______________________________

QUESTION 6

SOLUTION

The first and the last linear equation have negative integer and negative fraction as its solution respectively.

Since,

• 2x + 6 = 0

⇒ 2x = -6

⇒ x = -3 ( A negative integer)

• 4x + 7 = x + 2

⇒ 4x - x = 2 - 7

⇒ 3x = -5

⇒ x = -5/3 ( A negative fraction )

________________________________

QUESTION 7

SOLUTION

• 4x + 1 = 2

⇒ 4x = 2 - 1

⇒ 4x = 1

⇒ x = 1/4

∵ 1/4 ≠ 5 , So this is not the answer.

• 3 - x = 8

⇒ -x = 8 - 3

⇒ -x = 5

⇒ x = -5

∵ Again, -5 ≠ 5, Again this option is neglected.

• x - 5 = 3

⇒ x = 8

∵ Again, 8 ≠ 5, This option is also neglected.

• 3 + x = 8

⇒ x = 8 - 3

⇒ x = 5

∵ Here, x = 5, So this is the right answer.

Hence, Option D is the correct answer.

_______________________________

QUESTION 8

SOLUTION

Option B is the correct answer.

⇒ x = 7

Multiply both sides by 7

⇒ 7x = 49

Subtract 1 both sides

⇒ 7x - 1 = 49 - 1

⇒ 7x - 1 = 48

Here, It is given as 7x - 1 = 50 , which must be 7x - 1 = 48

Hence, Option B is the correct answer.