Ex. 15. Ask special questions

Ex. 14. Mark the following as True or False.

1. Algebra is a generalization of geometry. 2. In order to state the general rule, we write numbers instead of particular letters. 3. Algebra is the system of rules concerning the operations with numbers. 4. Since the letters used represent numbers, all the laws of arithmetic fail to hold in operations with letters. 5. The operations of addition, subtraction, multiplication, division, raising to a power and extracting roots are called algebraic expressions. 6. An expression of two terms is a trinomial. 7. As in arithmetic, the equality sign means “not equal to”.8. In finding the product of multinomials we make use of commutative law. 9. These rules cannot be easily stated as formulas in terms of letters, like the rule given above for squaring the product of two numbers. 10. The outstanding characteristic of algebra is the use of numbers to represent letters.

1. A polynomial is an algebraic expression composed of one or more terms (what, how many) 2. Algebraic expressions are divided into two groups. (how many) 3. An expression 6x⁶ + 4x³ + 8 is of the fifth degree in x. (what) 4. If a polynomial contains but one term, it is called a monomial. (when) 5. The fundamental operations with polynomials are addition, subtraction, multiplication and division. (what) 6. If the remainder is zero, the division is exact. (when) 7. The so-called “double sign” () is sometimes used. (what) 8. The equality sign (=) means “equals” or “is equal to”. (what) 9. In the operation + 10 - 10 = 0, the minus sign means that 10 is subtracted from 10 to give a zero remainder. (what) 10. We use the signs plus (+) and minus (-) to indicate addition and subtraction. (why, what for) 11. There are three requirements for an equation. (how many)

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