Sam is 10 years younger than one-half the age of his aunt. Let a represent his aunt’s age. Which shows his aunt’s age written as an algebraic expression and Sam’s age if his aunt is 40?
mc020-1.jpg; when mc020-2.jpg Sam is 2 years old
mc020-3.jpg; when mc020-4.jpg Sam is 6 years old
mc020-5.jpg; when mc020-6.jpg Sam is 10 years old
mc020-7.jpg; when mc020-8.jpg Sam is 30 years old
Sam is 10 years old because 20 is half of 40 and 20 subtract 10 is 10
Sam's age = (1/2)a - 10 or a/2 - 10
if a = 40
Sam = (1/2)(40) - 10
= 10
match that up with your choices
Sam is 10 years younger than one-half the age of his aunt. Let a represent his aunt’s age. Which shows his aunt’s age written as an algebraic expression and Sam’s age if his aunt is 40?
Tawny wrote an expression to represent “the quotient of 82 and a number, decreased by 26.” She then evaluated the expression when n = 2. Which statements are true about the expression and its value? Check all that apply.
To write an algebraic expression that represents Sam's aunt's age, we need to break down the information given in the question.
The question states that Sam is 10 years younger than one-half the age of his aunt. Let's represent Sam's age as 'S' and his aunt's age as 'a'.
We know that Sam is 10 years younger than one-half of his aunt's age, so we can write it as:
S = (1/2)a - 10
Now, if we are given that Sam's aunt is 40, we can substitute the value of 'a' in the equation to find Sam's age.
S = (1/2)(40) - 10
S = 20 - 10
S = 10
Therefore, if Sam's aunt is 40 years old, Sam's age would be 10 years old.