Question

Each equation below is followed by several stories.

Select all of the stories that can be represented by the equation.
If none of the stories can be represented, select "None of the above".

(a)x+11=44

Answer 1

Forming Algebraic Expressions From a Story

Typically, there are keywords in the story that tell us what operations we need to use.

For instance, in terms of age:

• "Younger" or "older" connotes to subtraction from the age of the older person. It can also connote to the addition to the age of the younger person.

• "Years ago" typically connotes to the subtraction of x years from the person's current age.
• "More years" typically connotes to the addition of x years to the person's current age.

Solving the Question

Let's take a look at our first option.

• Yousif is x years old. Rana is 44 years older than Yousif. Rana is 11 years old.

Firstly, this option doesn't even make sense. How can Rana be 11 years old but also 44 years older than Yousif?

Let's look at our second option.

• Rana is x years old. in 11 more years, she will be 44 years old.

Immediately, we see "11 more years". This means that we will be adding 11 to Rana's current age, which is x:

`x+11`

This expression above is equal to 44, since the question tells us that Rana will be 44 years old in 11 years:

`x+11=44`

This is our final expression. It is the same as the given expression in the question.

Answer

Rana is x years old. in 11 more years, she will be 44 years old.