Study works math
Introduction :
Study works mathematics is an important tool in many fields, like engineering, medical science and natural science. The study work math curriculum form elementary school math, middle school math and high school mathematics. It includes the following topics, pre algebra, algebra I, algebra II, geometry, trigonometry etc. In this article we shall discuss study works math problems.
Study works math example problems
Example:
Simplify the expression
7x + 6y - 3 + 2x + 7y + 6
• +7x and +2x are like terms, so we need add the like terms +9x,
• +6y and +7y are like terms so combine like terms +13y, and
• -3 and +6 combine to get +3.
So after simplify, the expression is:
9x + 13y + 3
Example:
Subtract the polynomial 5x3 – 3x2 – 2 from 2x3 + 6x2 – 4x – 4.
Solution:
Using associative property and distributive properties to subtract real number
(2x3 + 6x2 – 4x – 4) – (5x3 – 3x2 – 2) = 2x3 + 6x2 – 4x – 4 – 5x3 + 3x2 + 2
= 2x3 – 5x3 + 6x2 + 3x2 – 4x – 4 + 2
= (2x3 – 5x3) + (6x2 + 3x2) + (–4x) + (–4+2)
= –3x3 + 9x2 – 4x – 2
Example:
Find out the area of triangle and perimeter of the triangle. The sides of a triangle values are 15 cm, 25 cm and 45 cm.
Solution:
Area of the triangle = `sqrt(`s(s-a) (s-b) (s-c) ) `) `
Here 2s = a+ b+ c= 16+25+45 = 86
Therefore s= 43,
S-a= 43 - 16 = 27
S-b = 43 - 25= 18
S-c = 43 - 45 = 2
Therefore area of a triangle = `sqrt(`43 * 27 * 18 *2 `) `
Area of triangle = 204 cm
Perimeter of triangle = a + b + c.
A = 15
B= 25
c= 45
Therefore area of triangle = 15 + 25 + 45 = 85 cm.
Study works math practice problems
Problem:
Simplify the following expression
5x + 7y - 3 + 2x + 8y + 6
Answer:
7x+15y+3
Problem:
Subtract 4x3 – 3x2 – 3 from x3 + 7x2 – 4x – 7.
Answer:
= –3x3 + 10x2 – 4x – 4.
Problem:
Find out the perimeter of the triangle. Whose sides of a triangle are 25 cm, 30 cm and 4 5 cm.
Answer:
100 cm
Study works mathematics is an important tool in many fields, like engineering, medical science and natural science. The study work math curriculum form elementary school math, middle school math and high school mathematics. It includes the following topics, pre algebra, algebra I, algebra II, geometry, trigonometry etc. In this article we shall discuss study works math problems.
Study works math example problems
Example:
Simplify the expression
7x + 6y - 3 + 2x + 7y + 6
• +7x and +2x are like terms, so we need add the like terms +9x,
• +6y and +7y are like terms so combine like terms +13y, and
• -3 and +6 combine to get +3.
So after simplify, the expression is:
9x + 13y + 3
Example:
Subtract the polynomial 5x3 – 3x2 – 2 from 2x3 + 6x2 – 4x – 4.
Solution:
Using associative property and distributive properties to subtract real number
(2x3 + 6x2 – 4x – 4) – (5x3 – 3x2 – 2) = 2x3 + 6x2 – 4x – 4 – 5x3 + 3x2 + 2
= 2x3 – 5x3 + 6x2 + 3x2 – 4x – 4 + 2
= (2x3 – 5x3) + (6x2 + 3x2) + (–4x) + (–4+2)
= –3x3 + 9x2 – 4x – 2
Example:
Find out the area of triangle and perimeter of the triangle. The sides of a triangle values are 15 cm, 25 cm and 45 cm.
Solution:
Area of the triangle = `sqrt(`s(s-a) (s-b) (s-c) ) `) `
Here 2s = a+ b+ c= 16+25+45 = 86
Therefore s= 43,
S-a= 43 - 16 = 27
S-b = 43 - 25= 18
S-c = 43 - 45 = 2
Therefore area of a triangle = `sqrt(`43 * 27 * 18 *2 `) `
Area of triangle = 204 cm
Perimeter of triangle = a + b + c.
A = 15
B= 25
c= 45
Therefore area of triangle = 15 + 25 + 45 = 85 cm.
Study works math practice problems
Problem:
Simplify the following expression
5x + 7y - 3 + 2x + 8y + 6
Answer:
7x+15y+3
Problem:
Subtract 4x3 – 3x2 – 3 from x3 + 7x2 – 4x – 7.
Answer:
= –3x3 + 10x2 – 4x – 4.
Problem:
Find out the perimeter of the triangle. Whose sides of a triangle are 25 cm, 30 cm and 4 5 cm.
Answer:
100 cm