4. Express agreement or disagreement with the following: 1. Each statement of arithmetic deals with particular numbers.
2. A formula is a general rule which remains true no matter what particular numbers may replace the symbols a and b.
3. Algebra is the system of rules which don't work with the operations with numbers.
4. The use of letters to represent numbers isn't the characteristic of algebra.
5. Algebraic expressions have much in common with trigonometric functions.
5. Insert the missing words. 1. Algebra is a ... of arithmetic.
2. The characteristic of ... is to use of letters to ... .
3. The operations of ..... are called algebraic expressions.
4. The rules concerning the operations with ... can be stated as ... .
5. The operation of multiplication is denoted by ... as by placing the letters ... to each other.
6. Translate into Russian. Algebra is used in many spheres of life, from that of the philosopher to that of the manual labour. The skilled worker may use algebra to determine the location of the centre or the size of holes he must drill. Doctors, engineers and scientists use algebra in their research.
By the use of algebra we can reduce complex problems to simple formulas. We can find the answer to problems about the Universe and problems of sewing, building, cooking, measuring, buying, and selling as well.
7. Answer the following questions: 1. What is the relationship between arithmetic and algebra?
2. What do we use in algebra to represent numbers?
3. In what operations in arithmetic do we use numbers?
4. How can the rules of algebra be stated?
5. What operations are called algebraic expressions?
