Math Problem Help

Introduction to math problem help:

Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. (Source: From Wikipedia). Now, we are going to see some of the problems help in math. From these problems, we can get clear idea about how to solve the math problems easily.

Having problem with How to Find the Equation of a Parabola keep reading my upcoming posts, i will try to help you.

Some of the math problems help:


Example 1: Simplify the equation: 4x + 2 = 5(x – 1)

Solution:

4x + 2 = 5(x – 1)

4x + 2 = 5x – 5

Subtract 2 on both sides of the equation

4x + 2 - 2 = 5x – 5 – 2

4x = 5x – 7

Subtract 5x on both sides of the equation

4x – 5x = 5x – 7 – 5x

-1x = -7

Divide by -1 on both sides of the equation

`(-1x) / -1 = (-7) / -1`

x = 7

So, the simplified answer is 7.

Example 2: Evaluate the expression (7 + p) × 3 + 18 ÷ 3 – 2p when p = 1.

Solution: Here, we substitute the value of 1 in the place of p,

(7 + p) × 3 + 18 ÷ 3 – 2p becomes

(7 + 1) × 3 + 18 ÷ 3 – 2(1) = 8 × 3 + 18 ÷ 3 – 2

= 24 + 6 - 2

= 28.

So, the answer is 28.


Few more math problems help:


Example 3: Solve the inequality: 10x – 7 > 23

Solution:

10x – 7 > 23

Add 7 on both side of the inequality

10x – 7 + 7 > 23 + 7

10x > 30

Divide by 10 on both side of the inequality

`(10x) / 10 > 30 / 10`

x > 3

So, the solution is (3, infinity).

Example 4:

Find the distance between the two points (1, 6), (3, 1)?

Solution: Let d be the distance between A and B.

Then d (A, B) = `sqrt [(x2 - x1)^2 + (y2 - y1)^2]`

= `sqrt [(3 -1)^2 + (1 - 6)^2]`

=` sqrt [ (2)^2 + (-5)^2]`

=` sqrt [4 + 25]`

= `sqrt [29]`

= 5.38

So, the distance between the given points is 5.4 units.


Practice math problems help:


1)      Simplify the expression: 11 x - 2y + 15x - 5y. (Answer: 26 x - 7y)

2)      Solve for the variable p:  4(p + 1) = 10 + p (Answer: p = 2).

3)      Solve for the variable x:  7x + 21 = 14 (Answer: x = -1).