Math Question To Do

Introduction to math question to do:
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.Please express your views of this topic practice problems for algebra 2 by commenting on blog.

Now, we are going to get some of the math questions with answers.


Math questions and answers:


Example problem 1:

Simplify the expression: 2x – 21 + 21x - 3x + 20

Solution:

Add the like terms in the given expression

2x – 21 + 21x - 3x + 20 = 2x + 21x - 3x – 21 + 20

= (2 + 21 -3) x + (-21 + 20)

= 20x - 1

So, the answer is 20 x - 1.

Example problem 2:

Factor the expression completely:  x2 + 37x + 36.

Solution:

Here, a = coefficient of x2 = 1,

b = coefficient of x = 37,

c = constant = 36.

Here we find a*c = 1 × 36 = 36 and a + c = 1 + 36 = 37 = b.

By splitting the middle term,

x2 + 37x + 36 = x2 +1x + 36x + 36

= x(x + 1) + 36(x + 1)

= (x + 1) (x + 36)

Example problem 3:

Solve for the variable y: y + 28 = 39

Solution:

y + 28 =39

Subtract 28 on both sides of the equation

y + 28 – 28 = 39 – 28

y = 11

So, the answer is y = 11.

Example problem 4:

Solve for the variable m: m – 13 = 17

Solution:

m – 13 = 17

Add 13 on both sides of the equation

m – 13 + 13 = 17 + 13

m = 30

So, the answer is m = 30.

Example problem 5:

Solve for the variable t: 7t = 35

Solution:

7t = 35

Divide by 7 on both sides of the equation

`(7t) / 7 = 35 / 7`

t = 5

So, the answer is t = 5.


Few more math questions and answers:


Example problem 6:

Solve for the variable x:` x / 11` = 11

Solution:

`x / 11` = 11

Multiply 11 on both sides of the equation

`(x / 11) ` * 11 = 11 * 11

x = 121

So, the answer is x = 121.

Example problem 7:

Evaluate the expression (-2 + y) × (-2) + 21 ÷ 7 - y when y = 1.

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

(-2 + y) × (-2) + 21 ÷ 7 - y becomes

(-2 + 1) × (-2) + 21 ÷ 7 - 1 = -1 × (-2) + 21 ÷ 7 – 1

= 2 + 3 - 1

= 4.

So, the answer is 4.

Example problem 8:

Evaluate the expression (3 + x) × 3 + 24 ÷ 4 - x when x = 1.

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

(3 + x) × 3 + 24 ÷ 4 - x becomes

(3 + 1) × 3 + 24 ÷ 4 - 1 = 4 × 3 + 24 ÷ 4 – 1

= 12 + 6 - 1

= 17.

So, the answer is 17.

Example problem 9:

Find the distance between the two points (20, 7), (16, 10)?

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

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

=  `sqrt((16 - 20)^2 + (10 - 7)^2)`

=  `sqrt((-4)^2 + (3)^2)`

= `sqrt(16+9)`

= `sqrt(25)`

= 5 units.

So, the distance between the given points is 5 units.

Example problem 10:

Find the midpoint of a line segment whose end points are (9, 19) and (11, 21).

Solution:

Let us take the point A (9, 19) and the point B (11, 21) and also take the midpoint is C (x, y).

(x1, y1) = (9, 19)

(x2, y2) = (11, 21)

Midpoint: (`(1/2)` ( x1+x2), `(1/2)` ( y1+y2))

First find the x-coordinate of C.

X=` (1/2)` (x1+x2) =` (1/2)` (9+11) =20=10

Next, find the y-coordinate of C.

y= `(1/2)` (y1+y2) =` (1/2)` (19+21) =40 =20

So, the midpoint is C(10, 20)

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Practice math questions and answers:


1) Simplify the expression: 2x – 1 + 1x + 20. (Answer: 3x + 19)

2) Simplify the expression: 2x + 3y + x + 4z +y (Answer: 3x + 4y + 4z)

3) Factor the expression completely:  x2 + 38x + 37. (Answer: (x+1) (x + 37)

4) Solve for the variable y: y + 31 = 39 (Answer: y = 8)

5) Solve for the variable m: m – 1 = 17 (Answer: m = 18)

6) Solve for the variable t: 8t = 32 (Answer: t = 4)

7) Solve for the variable t: (t/3) = -1 (Answer: -3)

8) Evaluate the expression (-1 + t) × (-3) + 27 ÷ 3 - t when t = 1. (Answer: 8)

9) Evaluate the expression (-3 + t) × 2 + 24 ÷ 6 - t when t = 3. (Answer: 1)

10) Find the distance between the two points (0, 7), (6, 2)? (Answer: 7.8)

Math Solution Sentence

Introduction Math Solution Sentence

The expression with equal sign is said to be as math sentence. Thus the expression means equation where the left side is equal to right side or vice versa. Example:  (5+5=10). LHS is the sum of 5 and 5 which is equal to RHS. Math solution for sentence is to find the unknown term by using known term from the expression. Example: 7+x=14. by using known term of 7 and 14 we can find the unknown term x. Please express your views of this topic Solve Radical Expressions by commenting on blog.


Example Problems - Math Solution Sentence:


Addition math solution sentence

Example 1: What is the solution for the math sentence 80 + x = 140?

Solution:

Given:  80 + x = 140

Step 1: Subtract both sides by 80

80 + x - 80 = 140 - 80

0 + x = 60

Step 2: x = 60

Check the answer:

Step 1: By substituting value of x in the expression 80 + x = 140

80 + 60 = 140

140 = 140,

Answer: Thus the value of x = 60 is the correct solution for the math sentence

Subtraction math solution sentence

Example 2:

What is the solution for the math sentence x - 25 = 50?

Solution:

Given: x - 25 = 50

Step 1: Add both sides by 25

x - 25 + 25 = 50 + 25

x - 0 = 75

Step 2: x = 75

Check the answer:

Step 1: By substituting the value of x in the expression x – 25 = 50

75 - 25 = 50

50 = 50

Answer: Thus the value of x = 75 is the correct solution for the math sentence.

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Practice Problems - Math Solution Sentence:


Problem 1: What is the solution for the math sentence 15 + x = 45?

Answer: 30

Problem 2: What is the solution for the math sentence 220 + x = 440?

Answer: 220

Problem 3: What is the solution for the math sentence x - 55 = 45?

Answer: 100

Problem 4: What is the solution for the math sentence x - 450 = 110?

Answer: 560