Math and English Problem Solving Scenarios
Translating
Math and
English
Three times a number,
increased by 1 is 25.
If 3 is added to twice a number,
the result is 17.
When a number is increased by 8,
the result is 13.
Sally is 4 years older than Tim.
Together, the sum of their ages
is 20. How old is each?
Dori used all of her
seashells to decorate
picture frames. Each
frame use 6 shells. How
many picture frames did
she decorate? Dori had 72
shells.
James is three times as old as
Carmen. Together, their ages
add up to 24. How old is each?
What is a numerical
expression for dividing a
dozen into four groups?
What is a numerical
expression for
increasing a number
five times then adding
3?
Four times a number, increased
by 3 is the same as twice the
number, increased by 9.
Three times a number,
increased by 7, gives the
same result as four times the
number, increased by 5.
If 7 is added to twice a number,
the result is the same as if 11 is
added to the number itself.
3 more than five times a
number, is the same as 18 more
than twice the number.
Jim is 2 years older than 3
times his little brother,
Tommy. Together their ages
add up to 18. How old is
each?
John is 6 years older than
Kathy. Together, their ages
equal four times Kathy’s age.
How old is each?
Four times a number,
diminished by 6, yields the
same result as twice the same
number, increased by 4.
Answers are given here in the notes section. You may do just the translation or do the translation and solve. This depends on the focus and the ability of your students. Do NOT do all of these at one sitting. I only do about 4 at a time.
If students have had Hands-on-Equations training then this is a nice extension and practice of those skills. If they have not, they should use their knowledge of inverse operations to find the solutions.
Solve various math problems based on real-life scenarios such as age differences, seashell decorations, numerical expressions, and equations involving multiple unknowns. Practice your math skills by determining the values of different variables in each situation.
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Presentation Transcript
Translating Math and English
Three times a number, increased by 1 is 25.
If 3 is added to twice a number, the result is 17.
When a number is increased by 8, the result is 13.
Sally is 4 years older than Tim. Together, the sum of their ages is 20. How old is each?
Dori used all of her seashells to decorate picture frames. Each frame use 6 shells. How many picture frames did she decorate? Dori had 72 shells.
James is three times as old as Carmen. Together, their ages add up to 24. How old is each?
What is a numerical expression for dividing a dozen into four groups?
What is a numerical expression for increasing a number five times then adding 3?
Four times a number, increased by 3 is the same as twice the number, increased by 9.
Three times a number, increased by 7, gives the same result as four times the number, increased by 5.
If 7 is added to twice a number, the result is the same as if 11 is added to the number itself.
3 more than five times a number, is the same as 18 more than twice the number.
Jim is 2 years older than 3 times his little brother, Tommy. Together their ages add up to 18. How old is each?
John is 6 years older than Kathy. Together, their ages equal four times Kathy s age. How old is each?
Four times a number, diminished by 6, yields the same result as twice the same number, increased by 4.
