Write an expression that shows the total age of Aya and Della combined.
x + 4x
What are you adding in the expression?
x and 4x.
What are you multiplying in the expression?
4 and x.
If Aya is 10 years old, what is the sum of their ages?
If x + 4x < 65, substitute 12 for x. Is the inequality true? How do you know?
Yes, because 12 + 4(12) = 60, which is less than 65.
If you substitute 13 for x, is the inequality true? How do you know?
No, because 13 + 4(13) = 65, which is equal to 65, not less than it.
If you substitute 14 for x, is the inequality true? How do you know?
No, because you know that when 13 is substituted into the inequality you get 65, so when you substitute 14 into the inequality you will get a value that is greater than 65.
Write an expression for how old Aya will be in 10 years.
x + 10
If Aya is 12 years old right now, what expression can you use to find how old she will be in 10 years?
12 + 10
How old will Aya be in 10 years if she is 12 years old right now?
22 years old.
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