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.
Answer: (a)
2. Which is the smallest?
(a) 1,
(b) 1/2,
(c) 0,
(d) 3.
Solution:
The smallest number is 1.
Answer: (a)
3. Combine terms: 12a + 26b 4b – 16a.
(a) 4a + 22b,
(b) 28a + 30b,
(c) 4a + 22b,
(d) 28a + 30b.
Solution:
12a + 26b 4b – 16a.
= 12a – 16a + 26b – 4b.
= 4a + 22b.
Answer: (c)
4. Simplify: (4 – 5) – (13 – 18 + 2).
(a) 1,
(b) –2,
(c) 1,
(d) 2.
Solution:
(4 – 5) – (13 – 18 + 2).
= 1(13+218).
= 1(1518).
= 1(3).
= 1+3.
= 2.
Answer: (d)
5. What is 26?
(a) 26,
(b) 26,
(c) 0,
(d) 1
Solution:
26
= 26.
Answer: (b)
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.
Answer: (b).
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
Answer: (d)
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.
Answer: 0.5 meter.
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