In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students can understand each and every step.

**1. Which is greater than 4?(a) 5,(b) -5,(c) -1/2,(d) -25.Solution:**

5 greater than 4.

**2. Which is the smallest?
(a) -1, (b) -1/2, (c) 0, (d) 3.
Solution:**

The smallest number is -1.

(a) 4a + 22b,

(b) -28a + 30b,

(c) -4a + 22b,

(d) 28a + 30b.

Solution:

12a + 26b -4b – 16a.

= 12a – 16a + 26b – 4b.

= -4a + 22b.

(a) -1,

(b) –2,

(c) 1,

(d) 2.

Solution:

(4 – 5) – (13 – 18 + 2).

= -1-(13+2-18).

= -1-(15-18).

= -1-(-3).

= -1+3.

= 2.

(a) -26,

(b) 26,

(c) 0,

(d) 1

Solution:

|-26|

= 26.

(a) x

(b) x

(c) x

(d) x

Solution:

(x – 4)(x + 5).

= x(x + 5) -4(x + 5).

= x

= x

(a) 5(x-4)(x+1),

(b) -2(x-4)(x+5),

(c) -5(x+4)(x-1),

(d) 5(x+4)(x+1).

Solution:

5x

= 5(x

= 5(x

= 5{x(x - 4) +1(x - 4)}.

= 5(x-4)(x+1).

(a) (x – 3)(x – 3),

(b) (x – 3)

(c) (x – 3)(3y – 2),

(d) 3y(x – 3).

**Solution:**

3y(x – 3) -2(x – 3).

= (x – 3)(3y – 2).

**Answer: (c).**

**9. Solve for x: 2x – y = (3/4)x + 6.
(a) (y + 6)/5, (b) 4(y + 6)/5, (c) (y + 6), (d) 4(y - 6)/5.
Solution:**

2x – y = (3/4)x + 6.

or, 2x - (3/4)x = y + 6.

or, (8x -3x)/4 = y + 6.

or, 5x/4 = y + 6.

or, 5x = 4(y + 6).

or, 5x = 4y + 24.

or, x = (4y + 24)/5.

Therefore, x = 4(y + 6)/5.

Solution:

(4x

= 4x

= 4x

= 9x

= 3x(3x + 2).

**11. Find the value of 3 + 2 • (8 – 3)
(a) 25, (b) 13, (c) 17, (d) 24, (e) 15.
Solution:**

3 + 2 • (8 – 3)

= 3 + 2 (5)

= 3 + 2 × 5

= 3 + 10

= 13

Solution:

3

= (4 × 3 + 3)/4 ÷ 4 pounds.

= 15/4 ÷ 4 pounds.

= 15/4 × 1/4 pounds.

= 15/16 pounds.

Now we know that, 1 pound = 16 ounces.

Therefore, 15/16 pounds = 15/16 × 16 ounces.

= 15 ounces.

Solution:

16w

= w

= w

= w

= w

= w

Solution:

3x

= 3y

= 3y

= 3y

= 3y

= 3y

**15. What is the radius of a circle that has a circumference of 3.14 meters?
Solution:**

Circumference of a circle = 2πr.

Given, circumference = 3.14 meters.

Therefore,

2πr = Circumference of a circle

or, 2πr = 3.14.

or, 2 × 3.14r = 3.14,[Putting the value of pi (π) = 3.14].

or, 6.28r = 3.14.

or, r = 3.14/6.28.

or, r = 0.5.

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