mathematics in the modern world

A. Using the given variables, translate the following to mathematical expressions. 1. the sum of n and 8 2. M reduced by x 3. 12 subtracted from z 4. c increased by d 5. 20 more than twice f 6. the square of the sum of x and y 7. twice the product of m and n 8. six less than twice b 9. the sum of the squares of u and v 10.the product of x and y divided by 2

B. Let the number be represented by the variable "x". Translate the following English phrases to mathematical expressions. 1. Eight more than one - fourth of the number 2. Five less than twice a number 3. Seven increased by the square of the number 4. One half of some number increase by four 5. The product of two consecutive numbers subtracted from 20 6. Twice the sum of a number and eight 7. The square of the sum of four and a number 8. The sum of the squares of two consecutive numbers 9. The square of a number added to its reciprocal 10.Five more than the square of a number

C. Let "n" represent the number and translate each phrase or sentence. 1. The product of a number and seven is equal to two more than the number. 2. Seven less than twice the number is fourteen. 3. One more than three times a number is seven. 4. Four more than five times a number is equal to two less than the number. 5. Twice the sum of the number and 3 is 20. 6. The sum of the number and its reciprocal is 2. 7. The square of the number is positive. 8. The square root of the sum of the number and 4 is greater than 0. 9. Twice the sum of the number and 3 is 7. 10.The number divided by 6 is 2.

D. Translate the mathematical expressions or statements to words. 1. x + 3

2. 2x - 5

3. 34 x

4. (x2 + y2) - 3

5. (x - 2)2 > 0

6. 3x 5

7. x = 2x - 4

8. 12 (x + 5) = 10

9. 1/4 = 5

10. (x + y)2 = 25