The mathematical concept of a function expresses the intuitive idea that one quantity (the argument of the function, also known as the input) completely determines another quantity (the value, or the output). A function assigns a unique value to each input of a specified type. The argument and the value may be real numbers. (Source: Wikipedia)
Example Problems for Elementary Functions Math :
Elementary functions math - problem 1:
Subtract x3 – 5x2 – 7 from 7x3 + 8x2 – 2x – 9.
Solution:
7x3 + 8x2 – 2x – 9 – x3 + 5x2 +7
6x3 + 13x2 – 2x – 2
Elementary functions math - problem 2:
Find the sum of 6x4 – 7x2 + 9x + 11 and 5x + 7x3 – 6x2 – 9.
Solution:
6x4 + 7x3 – 7x3 – 6x2 + 9x + 11 – 9
6x4 – 13x2 + 9x + 2
Elementary functions math - problem 3:
Factorize: x2 + 10x + 16
Solution:
x2 + 10x + 16
x2 + 8x + 2x + 16
x(x+8) + 2(x + 8)
(x + 2) (x + 8)
Elementary functions math - problem 4:
Simplify 7 * 3 - 2(4)3 ÷ (-6)
Solution:
` (7 * 3 - 2(4)^3 )/ -6`
= =>`(21 - 2(64) )/ -6`
= =>`(21- 128 )/ -6`
= =>`-107/ -6 `
= => `107/6` .
Elementary functions math - problem 5:
Simplify (5y + x)(8y – x)
Solution:
(5y + x)(8y – x)
= = > 40y2 – 5xy + 8xy – x2
= =>40y2 + 3xy – x2
Elementary functions math - problem 6:
Solve the given algebraic equation
3(-5x - 6) - (x - 7) = -8(4x + 7) + 21
Solution:
Given equation is 3(-5x - 6) - (x - 7) = -8(4x + 7) + 21
Multiply the terms
-15 x-18-x+7 = -32x-56+21
Make them as a group
-14x -11= -32x - 35
-14x + 32x = 11 - 35
18x = -24
x = `-24/18`
X = `-12/9` .
Practice Problems for Elementary Functions Math :
1. Subtract x3 – 3x2 – 1 from 3x3 + 6x2 – 4x – 8.
Answer: 2x3 + 9x2 – 4x – 7
2. Find the sum of 5x4 – 8x2 + 7x + 8 and 7x + 6x3 – 3x2 – 1.
Answer: 5x4 – 2x3 – 3x2 + 7
3. Factorize: x2 + 6x + 8
Answer: (X + 2) (X + 4)
4. Simplify 8 * 5 - 5(4)3 ÷ (-8)
Answer: 35.
5. Simplify (4y + x)(4y – x)
Answer: (4y + x)(4y – x) = 16y2 – x2
6. Solve the given algebraic equation 6(-2x - 3) - (x - 2) = -5(2x + 3) + 19
Answer: X = 10.
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