Math Problems to Solve On

Introduction to math problems to solve on algebra

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.

Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries.(Source: From Wikipedia)

Understanding Equations with Radicals is always challenging for me but thanks to all math help websites to help me out.

Example math problems to solve on algebra


Solve the following math problem on algebra

Example 1

Solve x^2 - x - 30 by factoring method.

Solution

To solve this math problem on algebra, we follow the following steps

Step 1:

The given quadratic equation is of the form `x + bx + c = 0` , where  `b = -1` and `c = -30`

From the given problem, find two real numbers n1 and n2 such that, n1+n2 = -1 and n1n2 = -30.

The two numbers are -6 and 5.

Step 2:

Sum of the roots = (-6) + 5

= -6+5

= -1

Step 3:

Product of the roots = (-6) (5)

= -30

Step 4:

So, we can write x2 - x - 30 as (x - 6) and (x + 5).

(x- 6) (x+ 5) = 0

Now, we can use zero product property and simplify.

(x- 6) (x+ 5) = 0

x - 6= 0 or x +5 = 0

x = 6 or x = -5

Step 5:

Answer: {6, -5}

Practice math problems to solve on algebra

1. Solve the following equations,

x + y = 11
3x - y = 5
2. Solve for z: 6z+4= 58

Answers:

(4, 7)
9
Having problem with Linear Combination keep reading my upcoming posts, i will try to help you.

Example math problems to solve on geometry


Solve the following math problem on geometry

Example 1

Find the area of a circle with radius 4 cm.

Solution

The area of a circle = `pi r^2` square units

here, `pi` = 3.14

r = 4 cm

So the are of the circle = 3.14 * 42 square cm

= 3.14 * 4 * 4

= 50.24 square centimeter

The area of the circle with radius 4 cm is 50.24 square cm.

Practice math problems to solve on geometry

Problem 1

What is the area of a square of side lengths 3 m.

Answer: 9 square meter.

Problem 2

Find the area of a rectangle. Given the length and breadth of the rectangle are 15 ft and 10 ft.

Answer: 150 square ft