Starts for algebra
Introduction :
Algebra is a branch of mathematics. Algebra plays an important role in our day to day life. Starts for algebra will need the four basic operations such as addition, subtraction, multiplication and division. The most important terms for starts for algebra are variables, constant, coefficients, exponents, terms and expressions. To starts for algebra, we have to use the symbols and alphabets in place of unknown values to make a statement. Hence, starts for algebra causes the leads of Arithmetic.
Example problems to starts for algebra:
Example 1:
Solve the equation for x, 2(4x) = 40.
Solution:
2(4x) = 40.
2 * 4x = 40
8x = 40 (divide both sides by 8)
`(8x)/8 = 40/8`
x = 5
Example 2:
Solve the equation for x, 2(4x-5) = 42.
Solution:
2(4x-5) = 42
(2 * 4x) – (2 * 5) = 42
8x – 10 = 42 ( add both sides by 10)
8x – 10 + 10 = 42 + 10
8x = 52 (divide both side by 8)
`(8x)/8 = 52/8`
x = 6.5
Example 3:
Solve the equation for x, `(6x-6) / 2` = 42.
Solution:
`(6x-6) / 2` = 42
`(6x) / 2` –` 6 / 2 ` = 42
3x – 3 = 42 (add both sides by 3)
3x – 3 + 3 = 42 + 3
3x = 39 (divide both sides by 3)
`(3x) / 3= 45 / 3`
x = 15
Example 4:
Solve the equation 4x + 5 = 2x + 15for x.
Solution:
4x + 5 = 2x + 15 (add both sides by -5)
4x + 5 - 5= 2x + 15 – 5
4x = 2x + 10 (add both sides by -2x)
4x – 2x = 2x – 2x + 10
2x = 10 (divide both sides by 2)
`(2x) / 2 = 10 / 2`
x = 5
Example 5:
Solve the equation 2x – 9 = -9 for x.
Solution:
2x – 9 = -9 (add both sides by 9)
2x – 9 + 9 = -9 + 9.
2x = 0 (divide both sides by 2)
`(2x) / 2 = 0 / 2`
x =0
Practice problems to starts for algebra:
Problem 1:
Solve the equation for x, x + 3 = 33.
The answer is x = 30
Problem 2:
Solve the equation for x, 5x = 25
The answer is x = 5
Problem 3:
Solve the equation for x, 5x + 5 = 30
The answer is x = 5
Problem 4:
Solve the equation for x, 5x + 5 = 35 + 2x
The answer is x = 10
Problem 5:
Solve the equation for x, 4x - 5 = 35 + 2x
The answer is x = 20
Algebra is a branch of mathematics. Algebra plays an important role in our day to day life. Starts for algebra will need the four basic operations such as addition, subtraction, multiplication and division. The most important terms for starts for algebra are variables, constant, coefficients, exponents, terms and expressions. To starts for algebra, we have to use the symbols and alphabets in place of unknown values to make a statement. Hence, starts for algebra causes the leads of Arithmetic.
Example problems to starts for algebra:
Example 1:
Solve the equation for x, 2(4x) = 40.
Solution:
2(4x) = 40.
2 * 4x = 40
8x = 40 (divide both sides by 8)
`(8x)/8 = 40/8`
x = 5
Example 2:
Solve the equation for x, 2(4x-5) = 42.
Solution:
2(4x-5) = 42
(2 * 4x) – (2 * 5) = 42
8x – 10 = 42 ( add both sides by 10)
8x – 10 + 10 = 42 + 10
8x = 52 (divide both side by 8)
`(8x)/8 = 52/8`
x = 6.5
Example 3:
Solve the equation for x, `(6x-6) / 2` = 42.
Solution:
`(6x-6) / 2` = 42
`(6x) / 2` –` 6 / 2 ` = 42
3x – 3 = 42 (add both sides by 3)
3x – 3 + 3 = 42 + 3
3x = 39 (divide both sides by 3)
`(3x) / 3= 45 / 3`
x = 15
Example 4:
Solve the equation 4x + 5 = 2x + 15for x.
Solution:
4x + 5 = 2x + 15 (add both sides by -5)
4x + 5 - 5= 2x + 15 – 5
4x = 2x + 10 (add both sides by -2x)
4x – 2x = 2x – 2x + 10
2x = 10 (divide both sides by 2)
`(2x) / 2 = 10 / 2`
x = 5
Example 5:
Solve the equation 2x – 9 = -9 for x.
Solution:
2x – 9 = -9 (add both sides by 9)
2x – 9 + 9 = -9 + 9.
2x = 0 (divide both sides by 2)
`(2x) / 2 = 0 / 2`
x =0
Practice problems to starts for algebra:
Problem 1:
Solve the equation for x, x + 3 = 33.
The answer is x = 30
Problem 2:
Solve the equation for x, 5x = 25
The answer is x = 5
Problem 3:
Solve the equation for x, 5x + 5 = 30
The answer is x = 5
Problem 4:
Solve the equation for x, 5x + 5 = 35 + 2x
The answer is x = 10
Problem 5:
Solve the equation for x, 4x - 5 = 35 + 2x
The answer is x = 20