Making algebra easy
Introduction :
Algebra is a branch of mathematics. Algebra plays an important role in our day to day life. For making algebra easy, we have to learn the four basic operations in algebra such as addition, subtraction, multiplication and division. The most important algebra terms , variables, constant, coefficients, exponents, terms and expressions are used for making algebra easy. Also for making algebra easy, we need to replace symbols and alphabets for unknown values. Hence, making algebra easy is regarded leads of Arithmetic.
Example problems for making algebra easy:
Example 1:
Solve the equation for x, 5(x +11) = 35.
Solution:
5(x + 11) = 35
(5 * x) + 5 * 11 = 35
5x + 55 = 35 (add both sides by -55)
5x + 55 – 55 = 35 - 55
5x = -20 (divide both sides by 5)
(5x) / 5 = `-20 / 5`
x = -4
Example 2:
Solve the equation for x, 5(x - 12) = 10.
Solution:
5(x - 12) =10
(5 * x) – (5 * 12) = 10
5x – 60 = 10 (add both sides by 60)
5x - 60 + 60 = 10 + 60
5x = 70 (divide both side by 5)
(5x)/5 = `70/5`
x = 14
Example 3:
Solve the equation for x, (x-12) / 5= 2.
Solution:
(x-12) / 5= 2 (multiply both sides by 5)
(x-12) / 5 * 5 = 2 *5
x – 12 = 10 (add both sides by 12)
x – 12 + 12 = 10 + 12
x = 22
Example 4:
Solve the equation 3x - 12 = -x + 8 for x.
Solution:
3x - 12 = -x + 8 (add both sides by 12)
3x –12 + 12 = -x + 8 + 12
3x = -x - 4 (add both sides by x)
3x + x = -x + x +20
4x = 20 (divide both sides by 4)
(4x) / 4 =` 20/ 4`
x = 5
Example 5:
Solve the equation 2x – 8 = 8 for x.
Solution:
2x – 8 = 8 (add both sides by 8)
2x – 8 + 8 = 8 + 8
2x = 16 (divide both sides by 2)
(2x) / 2 = `16 / 2`
x = 8
Practice problems for making algebra easy:
Problem 1:
Solve the equation for x, 5x + 30 = 20.
The answer is x = -2
Problem 2:
Solve the equation for x, 6x + 8 = 14
The answer is x = 1
Problem 3:
Solve the equation for x, 5x - 4 = 56
The answer is x = 12
Problem 4:
Solve the equation for x, 3x - 2 = 16
The answer is x =6
Problem 5:
Solve the equation for x, 3x + 3 = 9 + x
The answer is x = 3
I like to share this Algebra formulas with you all through my blog.
Algebra is a branch of mathematics. Algebra plays an important role in our day to day life. For making algebra easy, we have to learn the four basic operations in algebra such as addition, subtraction, multiplication and division. The most important algebra terms , variables, constant, coefficients, exponents, terms and expressions are used for making algebra easy. Also for making algebra easy, we need to replace symbols and alphabets for unknown values. Hence, making algebra easy is regarded leads of Arithmetic.
Example problems for making algebra easy:
Example 1:
Solve the equation for x, 5(x +11) = 35.
Solution:
5(x + 11) = 35
(5 * x) + 5 * 11 = 35
5x + 55 = 35 (add both sides by -55)
5x + 55 – 55 = 35 - 55
5x = -20 (divide both sides by 5)
(5x) / 5 = `-20 / 5`
x = -4
Example 2:
Solve the equation for x, 5(x - 12) = 10.
Solution:
5(x - 12) =10
(5 * x) – (5 * 12) = 10
5x – 60 = 10 (add both sides by 60)
5x - 60 + 60 = 10 + 60
5x = 70 (divide both side by 5)
(5x)/5 = `70/5`
x = 14
Example 3:
Solve the equation for x, (x-12) / 5= 2.
Solution:
(x-12) / 5= 2 (multiply both sides by 5)
(x-12) / 5 * 5 = 2 *5
x – 12 = 10 (add both sides by 12)
x – 12 + 12 = 10 + 12
x = 22
Example 4:
Solve the equation 3x - 12 = -x + 8 for x.
Solution:
3x - 12 = -x + 8 (add both sides by 12)
3x –12 + 12 = -x + 8 + 12
3x = -x - 4 (add both sides by x)
3x + x = -x + x +20
4x = 20 (divide both sides by 4)
(4x) / 4 =` 20/ 4`
x = 5
Example 5:
Solve the equation 2x – 8 = 8 for x.
Solution:
2x – 8 = 8 (add both sides by 8)
2x – 8 + 8 = 8 + 8
2x = 16 (divide both sides by 2)
(2x) / 2 = `16 / 2`
x = 8
Practice problems for making algebra easy:
Problem 1:
Solve the equation for x, 5x + 30 = 20.
The answer is x = -2
Problem 2:
Solve the equation for x, 6x + 8 = 14
The answer is x = 1
Problem 3:
Solve the equation for x, 5x - 4 = 56
The answer is x = 12
Problem 4:
Solve the equation for x, 3x - 2 = 16
The answer is x =6
Problem 5:
Solve the equation for x, 3x + 3 = 9 + x
The answer is x = 3
I like to share this Algebra formulas with you all through my blog.