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)