arbitrary variable

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

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

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...

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

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...

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

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...

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...

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...

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)

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

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...

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)

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...

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...

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

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

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...

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

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...