arbitrary variable

-65 times the difference between a number and 79 is equal to the number plus 98 The phrase a number means an arbitrary variable. Let's call it x. The first expression, the difference between a number and 79 means we subtract 79 from our arbitrary variable of x: x - 79 Next, -65 times the...

Divide a number by 10. Then, add 10. The phrase a number means an arbitrary variable, let's call it x. Divide the number by 10 mean we have a quotient, of x over 10 x / 10 Then, add 10: (x / 10) + 10

The difference in Julies height and 9 is 48 letting j be Julie's height Step 1: If Julie's height is represented with the variable j, then we subtract 9 from j since the phrase difference means we subtract: j - 9 Step 2: The word is means an equation, so we set j - 9 equal to 48 for our final...

When 4 times a number is increased by 40, the answer is the same as when 100 is decreased by the number. Find the number The phrase a number, means an arbitrary variable, let's call it "x". 4 times a number, increased by 40, means we multiply 4 times x, and then add 40 4x + 40 100 decreased...

The sum Of a number squared and 14. A number means an arbitrary variable, let's call it x. Squared means we raise x to the 2nd power: x^2 The sum means we add x^2 to 14 to get our algebraic expression below: x^2 + 14

Krutika was thinking of a number. Krutika doubles it and adds 8.7 to get an answer of 64.9. Form an equation with x from the information. The number we start with is x. Double it means we multiply by 2: 2x Add 8.7: 2x + 8.7 Get an answer means we have an equation, so we set (3) above equal to...

The Sum of three times a number and 18 is -39. Find the number. A number means an arbitrary variable, let us call it x. Three times x: 3x The sum of this and 18: 3x + 18 Is means equal to, so we set 3x + 18 = -39 3x + 18 = -39 Using our equation solver, we get x = -19

the sum of 2 times a number and -2, added to 4 times a number. The phrase, a number, means an arbitrary variable, let's call it x. 2 times a number 2x The sum of means add, so we add -2, which is the same as subtracting 2 2x - 2 Now, we add 4 times x 2x - 2 + 4x Combining like terms, we...

3 decreased by 7 times a number A number signifies an arbitrary variable, let's call it x. 7 times a number: 7x 3 decreased by this means we subtract 7x 3 - 7x

Five less than a number is at least -7 and at most 7. A number signifies an arbitrary variable, let's call it x. Five less than a number: x - 5 Is at least -7 means greater than or equal to and at most 7 means less than or equal to, so we have a joint inequality: -7 <= x - 5 <= 7

if 9 times a number is decreased by 6, the result is 111 A number means an arbitrary variable, let's call it x. 9 times a number: 9x Decreased by 6 9x - 6 The result is 11, this means we set 9x - 6 equal to 11 9x - 6 = 11 To solve this equation for x, use our equation calculator

The difference of twice a number and 9 is less than 22 The phrase a number, means an arbitrary variable, let's call it x. x Twice a number 2x The difference of twice a number and 9 2x - 9 Is less than 22 2x - 9 < 22

The square of the difference of a number and 4 A number means an arbitrary variable, let's call it x The difference of a number and 4: x - 4 The square of this difference: (x - 4)^2

the sum of a number times 3 and 30 is less than 17 A number is denoted as an arbitrary variable, let's call it x. x Times 3 means we multiply x by 3: 3x The sum of a number times 3 and 30 means we add 30 to 3x above 3x + 30 Is less than 17 means we have an inequality, so we set 3x + 30 less...

Nine less than a number is no more than 8 and no less than 3 A number is denoted as an arbitrary variable, let's call it x. We have a double inequality: No more than 8 means less than or equal to 8 No less than 3 means greater than or equal to 3 3 <= x <= 8

6 times the sum of a number and 5 is 16 A number represents an arbitrary variable, let's call it x x The sum of x and 5 x + 5 6 times the sum of x and 5 6(x + 5) Is means equal to, so set 6(x + 5) equal to 16 6(x + 5) = 16 <-- This is our algebraic expression Solve for x Multiply through...

Ten subtracted from the product of 9 and a number is less than −24. A number means an arbitrary variable, let's call it x x The product of 9 and a number: 9x Ten subtracted from that 9x - 10 Finally, is less than means we set our entire expression less than -24 9x - 10 < -24

15 less than a number squared A number is denoted by an arbitrary variable, let's call it x. x Squared means we raise that number to a power of 2 x^2 15 less means we subtract x^2 -15

Twice a number: Choose an arbitrary variable, let's call it x Twice x means multiply by 2 2x 8 subtracted from 2x: 2x - 8