arbitrary variable | MathCelebrity Forum

arbitrary variable

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    A half is a third of it. What is it?

    A half is a third of it. What is it? Let "it" be an arbitrary variable, let's call it x. A third of 'it' means we divide x/3 The word is means equals, so we have: x/3 = 1/2 Using our proportion calculator, we get: x = 1.5 or 3/2 or 1 & 1/2
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    a number increased by 6

    The phrase a number means an arbitrary variable. We can pick any letter a-z except for i and e. Let's choose x. The phrase increased by means we add 6 to x x +6
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    The sum of six times a number and 1 is equal to five times the number. Find the number.

    The sum of six times a number and 1 is equal to five times the number. Find the number. The phrase a number means an arbitrary variable, let's call it x. 6 times a number is written as: 6x the sum of six times a number and 1 is written as: 6x + 1 Five times the number is written as: 5x The...
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    subtract half of a number from 10

    subtract half of a number from 10 The phrase a number means an arbitrary variable, let's call it x: x half of a number means we divide x by 2: x/2 subtract half of a number from 10 10 - x/2
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    1/3 of the sum of a number and 2 plus 5 is -20

    1/3 of the sum of a number and 2 plus 5 is -20 The phrase a number means an arbitrary variable, let's call it x. x the sum of a number and 2: x + 2 1/3 of the sum of a number and 2 1/3(x + 2) 1/3 of the sum of a number and 2 plus 5 1/3(x + 2) + 5 The phrase is means equal to, so we set...
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    twice a number subtracted from the square root of the same number

    twice a number subtracted from the square root of the same number The phrase a number means an arbitrary variable, let's call it x: x Twice a number means we multiply x by 2: 2x Square root of the same number: sqrt(x) twice a number subtracted from the square root of the same number sqrt(x) - 2x
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    The difference between a number and 9 is 27. Find that number

    The difference between a number and 9 is 27. Find that number The phrase a number means an arbitrary variable, let's call it x: x The difference between a number and 9 x - 9 The word is means equal to, so we set x - 9 equal to 27: x - 9 = 27 To solve this equation for x, we type it in our...
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    7 times a number and 2 is equal to 4 times a number decreased by 8

    7 times a number and 2 is equal to 4 times a number decreased by 8 The phrase a number means an arbitrary variable, let's call it x. x 7 times a number: 7x and 2 means we add 2: 7x + 2 4 times a number 4x decreased by 8 means we subtract 8: 4x - 8 The phrase is equal to means an equation...
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    product of a number and its reciprocal is increased by 7

    product of a number and its reciprocal is increased by 7 The phrase a number means an arbitrary variable, let's call it x: x Its reciprocal means we take the reciprocal of x: 1/x product of a number and its reciprocal: x * 1/x x/x The x's cancel giving us: 1 is increased by 7 means we add...
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    a number increased by 8 and then tripled

    a number increased by 8 and then tripled The phrase a number means an arbitrary variable, let's call it x: x Increased by 8 means we add 8 to x: x + 8 Then tripled means we multiply the expression x + 8 by 3: 3(x + 8)
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    a number added to the product of y and x

    a number added to the product of y and x Since we're already using the variables x and y, we choose another arbitrary variable for the phrase a number. a The product of y and x isL xy Then add a: a + xy
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    When 4 times a number is increased by 40, the answer is the same as when 100 is decreased by the num

    When 4 times a number is increased by 40, the answer is the same as when 100 is decreased by the number The phrase a number means an arbitrary variable, let's call it x. x 4 times a number means we multiply x by 4: 4x Increased by 40 means we add 40 to 4x: 4x + 40 100 decreased by the number...
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    5 times the sum of 3 times a number and -5

    5 times the sum of 3 times a number and -5 The phrase a number means an arbitrary variable, let's call it x: x 3 times a number means we multiply x by 3: 3x the sum of 3 times a number and -5 means we add -5 to 3x: 3x - 5 5 times the sum means we multiply 3x - 5 by 5: 5(3x - 5)
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    The difference of 25 and a number added to triple another number

    The difference of 25 and a number added to triple another number The phrase a number means an arbitrary variable, let's call it x: x The difference of 25 and a number means we subtract x from 25: 25 - x The phrase another number means a different arbitrary variable, let's call it y: y Triple...
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    twice the square root of a number increased by 5 is 23

    twice the square root of a number increased by 5 is 23 The phrase a number means an arbitrary variable, let's call it x: x The square root of a number means we raise x to the 1/2 power: sqrt(x) the square root of a number increased by 5 means we add 5 to sqrt(x): sqrt(x) + 5 twice the square...
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    cube root of a number and 7

    cube root of a number and 7 The phrase a number means an arbitrary variable, let's call it x: x Cube root of a number means we raise x to the 1/3 power: x^1/3 And 7 means we add 7: x^1/3 + 7
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    triple a number and another number

    triple a number and another number The phrase a number means an arbitrary variable, let's call it x: x Triple a number means we multiply x by 3: 3x The phrase another number means another arbitrary variable, let's call it y: y The word and means we add y to 3x: 3x + y
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    the sum of 3 numbers divided by its product

    the sum of 3 numbers divided by its product The phrase 3 numbers means we choose 3 arbitrary variables. Let's call them x, y, z. The sum of of these 3 numbers is: x + y + z The phrase its product means we multiply all 3 arbitrary variables together: xyz Now, the phrase divided by means we...
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    3 less than a number times itself

    3 less than a number times itself The phrase a number means an arbitrary variable, let's call it x: x Itself means the same variable as above. So we have: x * x x^2 3 less than this means we subtract 3 from x^2: x^2 - 3
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    Determine the formula of the given statement by following the procedures. Choose any number then add

    Determine the formula of the given statement by following the procedures. Choose any number then add 2. Multiply your answer to 3 and minus 2 For the phrase choose any number we can use an arbitrary variable, let's call it x. Add 2: x + 2 Multiply your answer to 3: 3(x + 2) And minus 2 which...
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