Introduction to middle school math day:
Middle school class books are designed to presents the practice with math skills and concept wise explanations such as whole numbers, fractions, decimals, percents, geometry, and square roots. Middle school math tells about the measurement, property, and relations about quantities and sets, with numbers and symbols. It is a function of expressions. In this article we shall discuss about middle school math day problems.
Sample problem for middle school math day:
Example 1:
Solve the given equation 4× (x + 8 + 11) = 88.
Solution:
Grouping the terms like, the left side of the equation becomes
4 × (x + 8 + 11) ==> 4 × (x + 19)
Using the distributive property,
4 × (x + 19) ==> 4 × x + 4 × 19
Carrying out multiplications,
4 × x + 4 × 19 ==> to 4x + 76
The equation now becomes
4 x + 76 = 88.
Subtracting a 76 (adding a -76) to each side gives us
4x + 76 + (-76) = 88 + (-76)
4x + (76 + (-76)) = 88 - 76
4x + 0 = 13
4x = 12
Since the x value is multiplied by 4, we divide both sides by 4 to solve for x:
4x = 12
4x ÷ 4 = 12 ÷ 4
(4x)/4 = 3
x = 3.
We get the answer value is X = 3
We can check the answer in the solution of a original equation:
4× (3 + 8 + 11) = 88
4 × 22 = 88
88 = 88 so our answer is correct.
Problem 2:
Find the diameter of the circle. A radius of the given circle is 9 cm.
Solution:
Given:
Radius of the circle is r = 9 cm
Diameter of the circle is d = 2r
d = 2 * 9
d = 18
So, the diameter of the circle is 18 cm.
Problem 3:
The perimeter of a rectangle is 1200 meters and its length L is 5 times its width W. Find the values of W and L, and the area of the rectangle.
Solution:
Perimeter of rectangle=2L+2W,
2 L + 2 W = 1200
We now rewrite the statement. Its length L is 5 times its width into a mathematical equation as follows:
L = 5 W
We have to substitute L =3W in the equation 2 L + 2 W = 1200
2(5 W) + 2 W = 1200
12 W = 1200
W =100 meters
Use the equation L = 5 W to find L.
L = 5 W = 500 meters
Use the formula of the area.
Area = L x W = 500 * 100 = 50000 meters 2.
So, the area of the rectangle=50000 meters 2.
Practice problem for middle school math day:
Find the diameter of the circle. The radius of the given circle is 12 cm.
Answer: d = 24
Solve the given equation 9× (x + 3 + 11) = 99.
Answer: x = -3
Middle school class books are designed to presents the practice with math skills and concept wise explanations such as whole numbers, fractions, decimals, percents, geometry, and square roots. Middle school math tells about the measurement, property, and relations about quantities and sets, with numbers and symbols. It is a function of expressions. In this article we shall discuss about middle school math day problems.
Sample problem for middle school math day:
Example 1:
Solve the given equation 4× (x + 8 + 11) = 88.
Solution:
Grouping the terms like, the left side of the equation becomes
4 × (x + 8 + 11) ==> 4 × (x + 19)
Using the distributive property,
4 × (x + 19) ==> 4 × x + 4 × 19
Carrying out multiplications,
4 × x + 4 × 19 ==> to 4x + 76
The equation now becomes
4 x + 76 = 88.
Subtracting a 76 (adding a -76) to each side gives us
4x + 76 + (-76) = 88 + (-76)
4x + (76 + (-76)) = 88 - 76
4x + 0 = 13
4x = 12
Since the x value is multiplied by 4, we divide both sides by 4 to solve for x:
4x = 12
4x ÷ 4 = 12 ÷ 4
(4x)/4 = 3
x = 3.
We get the answer value is X = 3
We can check the answer in the solution of a original equation:
4× (3 + 8 + 11) = 88
4 × 22 = 88
88 = 88 so our answer is correct.
Problem 2:
Find the diameter of the circle. A radius of the given circle is 9 cm.
Solution:
Given:
Radius of the circle is r = 9 cm
Diameter of the circle is d = 2r
d = 2 * 9
d = 18
So, the diameter of the circle is 18 cm.
Problem 3:
The perimeter of a rectangle is 1200 meters and its length L is 5 times its width W. Find the values of W and L, and the area of the rectangle.
Solution:
Perimeter of rectangle=2L+2W,
2 L + 2 W = 1200
We now rewrite the statement. Its length L is 5 times its width into a mathematical equation as follows:
L = 5 W
We have to substitute L =3W in the equation 2 L + 2 W = 1200
2(5 W) + 2 W = 1200
12 W = 1200
W =100 meters
Use the equation L = 5 W to find L.
L = 5 W = 500 meters
Use the formula of the area.
Area = L x W = 500 * 100 = 50000 meters 2.
So, the area of the rectangle=50000 meters 2.
Practice problem for middle school math day:
Find the diameter of the circle. The radius of the given circle is 12 cm.
Answer: d = 24
Solve the given equation 9× (x + 3 + 11) = 99.
Answer: x = -3
No comments:
Post a Comment