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### High School Mathematics1.14 Basic Operations With Variables - II

 Algebraic Notation: Verbal phrases may be translated into algebraic expressions. Examples: The product of a and b = a . b = ab = a x b The sum of a and 4 = a + 4 x decreased by 9 = x - 9 y divided by 3 = y/3 A number increased by 6 = n + 6 Two times a number and that product decreased by 5 = 2x - 5 A number divided by 3 and that quotient increased by 2 = n/3 + 2 Twice the sum of x and 4 = 2(x + 4) Example: Write an algebraic expression for "a number times itself plus another number added to itself." Solution: Let the number be 'x'. The number times itself is x2. Let another number be 'y'. The second number added to itself is 2y. Therefore, a number times itself plus another number added to itself is x2+2y. Example: Write an algebraic expression for "quotient of a number times ten and the same number increased by 4." Solution: Let the number be 'x'. Then number times ten is 10x. The same number increased by 4 is x + 4. Therefore, quotient of a number times ten and the same number increased by 4 is = 10x / (x+4) Directions: If x is a non-zero number, express the following in terms of x. Also write at least 10 examples of your own.
 Q 1: The product of a number and 8.nxn+88aa/8a + 8 Q 2: Of the four consecutive integers x is the largest. Write the other three.x-2, x-1, xx+1, x+2, x+3x-3, x-2, x-1x-4, x-3, x-2 Q 3: 4 less than half of x.x/2-44/2-x4-2/x4-X/2 Q 4: 3 times x.3x3+xxxx3+3+3 Q 5: 6 more than a number.x/6x + 66xx - 6 Q 6: Three consecutive integers beginning with x and less than x ?3x, 2x, 1xx, x+1 and x+2x, x-1 and x-23, 2, 1 Q 7: Sum of squares of x and 4.x2+16x+42x+2*4 Q 8: A number divided by 9.9r9/rr/9r + 9 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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