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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.a/88aa + 8nxn+8 Q 2: 4 less than half of x.4-2/xx/2-44/2-x4-X/2 Q 3: Three consecutive integers beginning with x and less than x ?x, x+1 and x+23, 2, 13x, 2x, 1xx, x-1 and x-2 Q 4: Sum of squares of x and 4.x2+16x+42x+2*4 Q 5: Of the four consecutive integers x is the largest. Write the other three.x-3, x-2, x-1x+1, x+2, x+3x-2, x-1, xx-4, x-3, x-2 Q 6: 6 more than a number.x - 6x/66xx + 6 Q 7: Three consecutive integers beginning with x and greater than x.x, x-1 and x-21, 2, and 3x, x+1 and x+2x, 2x, 3x Q 8: 5 more than twice x.2x+5(5+2)x5+x22+5X Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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