Algebra Problems Online Tutoring - Maths Tutors

Algebra Problems Online Tutoring - Maths Tutors We know Algebra is one of the main things in math. We can say Algebra is the study of rules of operations and relations. We have many branches of Algebra; those are Elementary Algebra, Linear Algebra, pre Algebra, Modern Algebra and Boolean algebra. In algebra to simplify and use the different types of operations, we follow a rule that is termed as PEMDAS. Here, P stands for Parenthesis E stands for exponents M stands for Multiplication D stands for division A stands for Addition S stands for Subtraction. Example 1: Evaluate [6 (3 6 (6 4) + 7)] + 3. Solution: To simplify this, we can use the PEMDAS rule. First we can do the operation in the parenthesis. = [6 (3 6 (6 4) + 7)] + 3 = [6 (3 6(2) + 7)] + 3 Now we can do the multiplication = [6 (3 12 + 7)] + 3 = [6 + 2] + 3 = 10 Example 2: Solve (x-4) /3 = (x+5) /2 Solution: To solve this we can do the cross multiplication, that is 2 (x 4) = 3 (x + 5) 2x 8 = 3x + 15 We can write this as 3x + 15 = 2x 8 We can add 2x on both sides 3x + 15 2x = 2x 8 2x (3x 2x) + 15 = - 8 x + 15 = - 8 We can add 15 on both sides of the equation x + 15 15 = - 8 15 x = - 23