How to Understand Math

How to understand math (Introduction):
Math is also called as mathematics. Compare to other subject math is tough subject to understand this math subject; we want to listen the class care fully. Mathematics is separated into different sub titles shown here:

Number theory
Mensuration
Sets and functions
Algebra
Applied mathematics.
Geometry
Analytical geometry
Trigonometry
Practical geometry
Statistics
In this topic we discuss how to understand math with examples as problems are shown below:

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Easy Understand math Problems with Answers:


Problem 1:

Given the equation

5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Multiply factors.

-15x - 10 - x + 3 = -16x - 20 +13

Group like terms.

-16x - 7 = -16x - 7

Add 16x + 7 to both sides and write the equation as follows

0 = 0

Hence this statement is true for all values of x and therefore all real numbers are solutions to the given equation.

Problem 2:

Given the line

5x - 5y = 7

Re-write the equation in slope intercept form y = mx + b and identify the value of m the slope.

-5y = -5x + 7

y = x - ` 7/5`

The slope is given by the coefficient of x which is 1.

Problem 3:

To find the eqn of the line through the points (-1, -1) and (-1, 2), we use the slope m.

m = `(y_2 - y_1)/(x_2-x_1)` = `(2 - (-1)) / ((-1) - (-1))` = `3 / 0`

The slope is defined that means the line is perpendicular to the x axis and its equation has the form x = constant. Since all points have equal x coordinates with -1, the equation is given by:

x = -1

Problem 4:

Given the equation

2x - 4y = 10

To find the x intercept we set y = 0 and solve for x.

2x - 0 = 10

Solve for x.

x = `10 / 2`

= 5

The x intercept is at the point ( 5 , 0).

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Easy Understand math Practice Problems with Answers:


1. Find the statement is equal or not equal: 7(-4x - 3) - (x - 4) = -8(2x + 6) + 11

Answer: Not Equal.

2. To find the equation of the line through the points (-8, -6) and (-6, 2), we first use the slope m.

Answer: Slope m =1/4

3. Solve: 8x - 2y = 3

Answer:  The x intercept is at the point (3/8 , 0).