RYAN INTERNATIONAL SCHOOL - ROHINI
CLASS: VII
MENSURATION

1. The length and breadth of a rectangular field are in the ratio 3 : 2 of the area of the field is 3456 m2. Find the cost of fencing it @ Rs. 60 per m. 2. The cost of fencing a square field @ Rs, 16 per meter is 232000. Find the cost of reaping the field @ Rs.35 per 100 m2.. 3. The cost of carpeting a room 15 m long with a carpet of width 75 cm @ Rs. 80 per meter is Rs. 19200. Find the width of the room. 4. A rectangular park is 45 m long and 30 m width. A path 2,5 m wide is constructed outside the park. Find the area of the path and the cost of constructing it at Rs. 125 per m2. 5. The area of a right angled triangle is 400 m2. If one of its legs measures 8 cm. Find the length of the other leg. 6. The diameter of the wheel of a car is 10 cm. How many revolutions will it make to travel 99 km? 7. A race track is in the form of a ring whose inner circumference is 264 m and the outer circumference is 308 m. Find the width of the track. 8. A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent in the form of a circle, find the area enclosed by it. 9. The area of a circular tin plate is 38.5 m2. Find its circumference. 10. The diameter of a circular park is 84 m. A 3.5 m vide road on the outside around it. Find the cost of constructing road @ Rs. 200 per m2.

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RYAN INTERNATIONAL SCHOOL - ROHINI
CLASS: VIII
WORK SHEET
ALZEBRAIC EXPRESSIONS

1. (2x + 5) (2x – 5) = ?
(a).(4x2 +25)(b).(4x2 – 25)(c).(4x2 -10x = 25)(d). (4x2 + 10x – 25) 2. (a -1) (a +1) (a2 +1) = ?
(a).(a4 -2a2 -1)(b)(a4 – a2-1)(c).(a4 -1)(d).(a4 +1) 3. ( x + 1/x) = 5, then (x2+ 1/x2) = ?
(a(..25(b).27(c) 23(d)251/25)
4. If (a –b) =7 and ab = 9, then (a2 +b2= ?
5. If x = 10, then value of ( 4x2 + 20x + 25) = ?
(a).256(b)425(c)625(d)575
6. Add: 8x2 -5xy +3y2,...

...+ 13| = –7
5x + 13 = -7
5x = -20
X = -4
Simplify the expression below.
6n2 - 5n2 + 7n2
6 – 5 + 7 = 8
=8n2
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Write an equation that models the cost of each bracelet.
8 x + 6 = 54 $8.00 each bracelets
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Determine the cost for each bracelet. Show your work
8x+6 =54
8x=54-6
8x = 48
X = 6
Solve the inequality. Show your work.
6y – 8 ≤ 10
5. 6y – 8 ≤ 10
6y ≤ 10 +8
6y ≤ 18
y ≤ 18/6
=y ≤ 3
The figures above are similar. Find the missing length. Show your work.
x = 1.8 in
What is 30% of 70? Show your work.
30 divied by100 = .30
70 times 0.3(30% as a decimal) which will be 21
=21
Simplify the expression below.
-5-8
(16x9)/(21x8)=144/168 divided by 12=12/14=6/7
8. 6/7
Which property is illustrated by 6 x 5 = 5 x 6?
commutative property of multiplication
Evaluate the expression for the given values of the variables. Show your work.
4t + 2u2 – u3; t = 2 and u = 1
4t + 2u2 – u3; t = 2 and u = 1
4 (2) + 2 (1) 2 – (1) 3
8 + 2 – 1 = 1
Solve the inequality. Show your work.
|r + 3| ≥ 7
R + 3 = 7, r = - 10 and r =4
What percent of 60 is 12? Show your work.
20% of 60. 12 / 60 * 100 = 20
Simplify the expression...

...Name
Date
Class
CHAPTER 18 REVIEW
Chemical Equilibrium
SECTION 18-1
SHORT ANSWER
1.
Answer the following questions in the space provided.
Silver chromate dissolves in water according to the following equation:
→ 2Agϩ(aq) ϩ CrO42Ϫ(aq)
Ag2CrO4(s) ←
Which of these correctly represents the equilibrium expression for the above equation?
2[Agϩ] ϩ [CrO 42Ϫ]
[Agϩ]2[CrO42Ϫ]
[Ag2CrO4]
(a) ᎏᎏ
(b) ᎏ
ᎏ
(c)
ᎏ
ᎏ
1
Ag2CrO4
[Agϩ]2[CrO42Ϫ]
[Agϩ]2[CrO42Ϫ]
(d) ᎏᎏ
2[Ag2CrO4]
2. Are pure solids included in equilibrium expressions? Explain your answer.
3. Write the equilibrium expression for the following hypothetical equation:
→ 2C(aq) ϩ 3D(aq)
3A(aq) ϩ B(aq) ←
4. a. Write the appropriate equilibrium expression for each of the following equations. Include the
value of K.
→ 2NO2(g)
(1) N2O4(g) ←
K ϭ 0.1
Ϫ
→ NHϩ
(2) NH4OH(aq) ←
4 (aq) ϩ OH (aq)
MODERN CHEMISTRY
HRW material copyrighted under notice appearing earlier in this work.
K ϭ 2 ϫ 10Ϫ5
SECTION 18-1 REVIEW
147
Name
Date
Class
SECTION 18-1 continued
→ Pb2ϩ(aq) ϩ 2IϪ(aq)
(3) PbI2(s) ←
K ϭ 7 ϫ 10Ϫ9
→ 2H2O(l)
(4) H3Oϩ(aq) ϩ OHϪ(aq) ←
K ϭ 1 ϫ 1014
b. Which of the four systems in part a proceeds farthest
to the right when equilibrium is established?
c. Which system contains mostly reactants at
equilibrium?
PROBLEMS
provided.
5.
Write the answer on the line to the left. Show all...

...term of the sequence. When writing the general expression for an arithmetic sequence, you will not actually find a value for this. It will be part of your formula much in the same way x’s and y’s are part of algebraic equations.
a1 is the first term in the sequence. To find the explicit formula, you will need to be given (or use computations to find out) the first term and use that value in the formula.
n is treated like the variable in a sequence. For example, when writing the general explicit formula, n is the variable and does not take on a value. But if you want to find the 12th term, then n does take on a value and it would be 12.
d is the common difference for the arithmetic sequence. You will either be given this value or be given enough information to compute it. You must substitute a value for d into the formula.
You must also simplify your formula as much as possible.
Let's Practice:
i.Write the explicit formula for the sequence that we were working with earlier.
20, 24, 28, 32, 36, . . .
The first term in the sequence is 20 and the common difference is 4. This is enough information to write the explicit formula.
Now we have to simplify this expression to obtain our final answer.
So the explicit (or closed) formula for the arithmetic sequence is .
Notice that an the and n terms did not take on numeric values. They are a part of the formula, again like x’s and y’s in...

...Jasper Kyle Disono
Sean Anthony Kyle Antonio
Project proposal on:
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Algebraicexpression
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History:
Ancient civilizations wrote out algebraicexpressions using only occasional abbreviations, but by medieval times Islamic mathematicians were able to talk about arbitrarily high powers of the unknown x, and work out the basic algebra of polynomials (without yet using modern symbolism). This included the ability to multiply, divide, and find square roots of polynomials as well as knowledge of the binomial theorem. The Persian mathematician, astronomer, and poet Omar Khayyam showed how to express roots of cubic equations by line segments obtained by intersecting conic sections, but he could not find a formula for the roots. A Latin translation of Al-Khwarizmi's Algebra appeared in the 12th century. In the early 13th century, the great Italian mathematician Leonardo Fibonacci achieved a close approximation to the solution of the cubic equation x3+ 2x2 + cx = d. Because Fibonacci had travelled in Islamic lands, he probably used an Arabic method of successive approximations.
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Examples :
Problem: | Ms. Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class. | |
Solution: | Let g represent the number...

...Freedom of Expression
There are some issues and problems that are very hard to solve. Freedom of expression is one of them. Its hardship springs from the ambiguity of the term freedom itself. Philosophers always ponder on the question as to whether freedom has its own bounds, or it referres to the absence of any kind of restrictions. There are some people asserting that people can express themselves however they want, and all kinds ofexpression should be tolerated. However, In my opinion the way people express themselves determines the decision as to whether this expression is allowed or not.
The radical idea that people are entitled to express themselves however they want sounds romantic and inconsistent. Expression is a broad term and it does not only include arts, but also insult and blasphemy. Therefore if we let every idea be expressed, then we also close our eyes to insulting. According to the Universal Declaration of Human Rights (UDHR) people have dignity. So does not disregarding, cursing and insulting someone lead to the violation of human rights? I think it breaches the idea of dignity and equality.
However, we should not draw such a conclusion that all we can do is to stay calm. Without insult we can express our ideas and thoughts in an appropriate way. As you realize the term appropriate seems to be subjective and needs to be explained. In this context,...

...TRANSITION EXPRESSION
A Transitional Expression is a Transitional Phrase or a Conjunctive Adverb.
Transitional expressions help your reader to understand how you have organized your material, making it easier for them to move from one point to the next in your writing. Use Transitional expressions to: add ideas, emphasize ideas, illustrate ideas, compare/contrast ideas, show cause and effect, place ideas in time, and summarize ideas.
( Jadi Transitional Expression adalah semacam kata penghubung, antara 2 kalimat / klausa yang dituliskan agar membantu para pembaca untuk lebih mengerti/memahami tulisan tsb.)
Transitional Expression is for identify words or phrases that will indicate for the reader the kind of logical relationships you want to convey.
Two ways in writing transition expression:
1. Use a semi-colon [;] and coma [,] between independent clauses linked with a transitional expression:
eg: I learned all the rules and regulations; however, I never really learned to control the ball.
2. After full stop [.}
eg: Erwin didn’t study. Therefore, he failed the test.
Here are some of the most common transition expression, grouped according to meaning:
Identification Expression
Time after, after a short, afterward, at least, at the same time, before that time, before then, immediately, lately, later, meanwhile, now,...

...The Cost of Self-Expression
Within the play The Awakening there are many different ideas and themes expressed about the entire piece concerning Kate Chopin’s message to society. It is obvious that there are many motifs Chopin could have been trying to communicate in order to create controversy and insight. However, the main focus of this play is that self-expression, if suppressed, could become too much for any one person to bear.
It is not difficult to see that Edna has a great deal of hidden emotions that have built up overtime. She entered a society entirely different from that which she had known in her previous life, she was faced with new responsibilities (which she did not find any enjoyment in), and she was met with a new set of expectations which restricted her personal freedom. She even described her marriage to her husband as “purely an accident, in this respect resembling many other marriages which masquerade as the decrees of Fate” (Chapter 6). Her options in the given society were highly limited. She could either find an outlet by which she can express herself, or she could spend the rest of her days working to maintain a life which she is not happy living. However, this choice proved to be a difficult one.
If Edna were to express herself and become more independent, she would have to break some of her ties with her husband, her family, and her lovers, not to mention her high-class friends. In addition, that very action of...