Variables
What is an example of a variable?
x y n z k
Write the algebraic expression:
The sum of fifteen and a number
15 + x
Write the algebraic expression: Ten minus a number is three
10 - x = 3
What operation should you use with the key word: "Decreased by"
Subtraction or -
-3x2 + 5
What is the variable, the coefficient, the constant, the exponent
variable is x
coefficient is -3
constant is 5
exponent is 2
Write the algebraic expression:
The product of eight and a number
8x
Write the algebraic equation:
Twenty-one more than a number is thirty
x + 21 = 30
Write the algebraic expression: The difference between a number and 5
x - 5
What is variable in this expression? x + 10 = 35
x
Write the algebraic expression:
The quotient of forty five and a number
45/x
Write the algebraic equation:
A sixty shared by the difference of triple a number and twelve
60/(3x-12)
Write the algebraic equation: Three hundred decreased by a number is two hundred
300 - x = 200
What algebra expression is "a number"?
Ex: The difference between a number and five
Use a variable such as x or n
Write the algebraic expression: Ten increased by a number
10 + x
Write the algebraic equation:
Eighteen decreased by a number gives a fourth of the same number
18-x= x/4
Write the algebraic equation: Ninety less than a number is ten
x - 90 = 10
Write the algebraic equation: Fifty split by a number is two
50 / x = 2
What are the variables in this equation? a + b = 12
a and b
Write the algebraic expression:
Double a number
2x
Write the algebraic equation: Twice a number is fifty
2x = 50
Write the algebraic equation: Sixty decreased by a number is twelve
60 - x = 12
Write the algebraic equation: Twelve less than a number is twenty-one.
x - 12 = 21
What is the definition of a variable?
A letter that represents any number
The sum of double a number and six, squared
(2x+6)2
The sum of 6 and a number squared is fifty-five
6+x2 = 55
Sally is 3 years younger than Jim. The sum of their ages is 17.
1) Translate to algebraic of each Sally and Jim ages
2) What is the algebraic equation of the sum of their ages
3) What are the ages of Jim and Sally
1) Sally: x-3 Jim: x
2) x-3 + x = 17
3) Jim: 10 yrs Sally: 7 yrs
Paul and Mary together sold forty-five cookies
Paul sold 3 times more than Mary plus 7.
Which person would be x in the algebraic equation and what would be the value of x?
Mary is x / Paul is (3x + 7)
Equation :
Paul + Mary = 45
(3x+7) + x = 45
x=12