Verbal language and algebraic language |
Name: ______________________________________ Subject: _______________________ Date: _______
Write on the right side what is missing.
1. Translating from verbal lenguaje to algebraic lenguaje
The word addition has the following meanings: make bigger, bigger than, more and to increase.The word subtraction refers to: minus, less than, difference, decrease and lose.
In a multiplication we can also use the words: product, multiple, twice, double/triple, etc.
In a division we use the following terms: quotient, to divide, divided by, half/third/third part, etc.
In a verbal expression we can use the term “an ordinary number” It is written in algebraic form with the letter x or with another one, like a,n, etc.
“The sum of two numbers” Represented by x + y
“The difference between two numbers” Represented by x – y
The product of two numbers. This is a multiplication and its representation is xy. Multiplication is represented as two letters who are joined.
The quotient of two numbers. It is a division of x divided by y: x/y
The result of the addition multiplied by the difference. Represented by two brackets
( )( ) The final result is (x+y)(x-y).
A. Choose the correct answer: a, b, c.
1. The sum of two numbers |
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a.
x-y |
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2. The square of a number |
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a.
x^{2} |
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3. Four times the square of a number |
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a.
(4x)^{2} |
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4. The difference between the square of two numbers |
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a.
x^{2} - y^{2} |
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5. The four part of the cube of a number |
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a.
4(x^{3}) |
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6. The difference between two numbers divided by the sum |
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a.
+(x - y) |
B. Choose the correct answer: a, b or c.
1. Translate the algebraic expression to verbal language: 2x^{3} |
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a.
The double of the square of a number |
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2. 6(x - 3)^{2} |
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a.
The double of a number minus three squared to six |
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3. x / 5 |
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a.
Five times a number |
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4. x^{2} + y |
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a.
The sum of the square of a number and other number |
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5. 3( a + b + c) |
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a.
The cube of the sum of three numbers |
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6. x/3 - y |
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a.
The third of the difference of two numbers |
3. Numeric value
We call numeric value of an algebraic expression to the result that we obtain doing the operations indicated in it, after changing every letter for their corresponding value.
If letters are joined it means that they are in a multiplication. The multiplication sign is a dot ( . ) Example: Find the numeric value of 4a^{2}b^{3}c, knowing that a=2, b=3 y c=5.
We must substitute letters for numeric values: 4 . 2^{2}. 3^{3}. 5
Powers are found: 4 . 4 . 27. 5 The product is resolved: 2160
C. Choose the correct answer: a, b, c. You must do the operations in a piece of paper.
1. Find the numeric value of the following algebraic expression: a^{2} - 2ab + b^{2}, if a=4, b=2 |
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a.
16 |
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2. Numeric value of: 3a^{2}b - 3ab^{2} + 5b^{3}, if a=8, b=6 |
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a.
1 368 |
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3. Numeric value of: -15a + 20b +3ab, if a=2, b=3 |
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a.
30 |
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4. Numeric value of: x^{3} + 3x^{2}y +3xy^{2} + y^{3}, if x=5, y=4 |
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a.
729 |
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5. Find the numeric value of: 18abc -13ac + 8ab -5bc, if a=0, b=4, c=3 |
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a.
480 |
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6. Numeric value of: 5a + 3b -7c +2ab, if a=4, b=2, c=1 |
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a.
19 |
| Educational applications | Algebra | In Spanish | Interactive |
®Arturo Ramo García.-Record of intellectual property of Teruel (Spain)
No 141, of 29-IX-1999
Plaza Playa de Aro, 3, 1º DO 44002-TERUEL