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Module 4 Lesson 16  Write Expressions in Which Letters Stand for Numbers.notebook
1
April 01, 2014
Problem Set Lesson 15 Answers
Module 4 Lesson 16  Write Expressions in Which Letters Stand for Numbers.notebook
2
April 01, 2014
 
MODULE 4 Expressions and Equaons
Topic E: Expressing Operaons in Algebraic Form
 Lesson 16:  Write Expressions in Which Leers 
Stand for Numbers 
Student Outcomes  
§ Students write algebraic expressions that record all operaons with numbers and leers standing for the numbers.
Module 4 Lesson 16  Write Expressions in Which Letters Stand for Numbers.notebook
3
April 01, 2014
Classwork 
Opening Exercise
Underline the key math vocabulary words in each statement.
a. The sum of twice b and 5.
b. The quoent of c and d.
c. a raised to the fih power then increased by the product of 5 and c
d. The quanty of a plus b divided by 4.
e.  10 less than the product of 15 and c.
f.  5 mes d increased by 8
Module 4 Lesson 16  Write Expressions in Which Letters Stand for Numbers.notebook
4
April 01, 2014
a. The sum of twice b and 5.
b. The quoent  of c and d.
c. a raised to the fih  power then increased by the product of 5 and c
d. The quanty  of a plus b divided by 4.
e.  10 less than the product of 15 and c.
f.  5 mes  d increased by 8
Change the expressions given in the opening exercise from words to variables and numbers.
Module 4 Lesson 16  Write Expressions in Which Letters Stand for Numbers.notebook
5
April 01, 2014
Example 2
Change each real world scenario to an expression using variables and numbers.  
Underline the text to show the key words before wring the expression.
Marcus has 4 more dollars than Yaseen.  If y is the amount of money Yaseen has, 
write an expression to show how much money Marcus has. 
Mario is missing half of his assignments.  If a represents the number of assignments, 
write an expression to show how many assignments Mario is missing.
Kamilah’s weight has tripled since her first birthday.  If w represents the amount 
Kamilah weighed on her first birthday, write an expression to show how much 
Kamilah weighs now.
Module 4 Lesson 16  Write Expressions in Which Letters Stand for Numbers.notebook
6
April 01, 2014
Nathan brings cupcakes to school and gives them to his five best friends who share 
them equally.  If c represents the number of cupcakes Nathan brings to school, write 
an expression to show how many cupcakes each of his friends receive.
Mrs. Marcus combines her atlases and diconaries and then divides them among 10 
different tables.  If a represents the number of atlases and d represents the number 
of diconaries Mrs. Marcus has, write an expression to show how many books would 
be on each table.
To improve in basketball, Ivan’s coach told him that he needs to take four mes as 
many free throws and four mes as many jump shots every day.  If f represents the 
number of free throws and j represents the number of jump shots Ivan shoots daily, 
write an expression to show how many shots he will need to take in order to improve 
in basketball.
Module 4 Lesson 16  Write Expressions in Which Letters Stand for Numbers.notebook
7
April 01, 2014
Exercises
Mark the text by underlining key words, and then write an expression using variables 
and numbers for each statement below.
    1.   b decreased by c squared.
2. 24 divided by the product of 2 and a.
3. 150 decreased by the quanty of 6 plus
4. The sum of twice c and 10.
5. Marlo had $35 but then spent $m
Module 4 Lesson 16  Write Expressions in Which Letters Stand for Numbers.notebook
8
April 01, 2014
6. Samantha saved her money and was able to quadruple the original amount, m.
7. Veronica increased her grade, g, by 4 points, and then doubled it.
8. Adbell had m pieces of candy and ate 5 of them.  Then he split the remaining 
candy equally among 4 friends.
9. To find out how much paint is needed, Mr. Jones must square the side length of 
the gate, and then subtract 15.
10. Luis brought x cans of cola to the party, Faith brought d cans of cola, and 
De’Shawn brought h cans of cola.  How many cans of cola did they bring all 
together?
Module 4 Lesson 16  Write Expressions in Which Letters Stand for Numbers.notebook
9
April 01, 2014
Closing
Please take out your exit ticket for Lesson 16, close your
binder, and complete the exit ticket. This will be collected.
§ How is wring expressions with variables and numbers similar to wring 
expressions using words?
ú The same vocabulary words can be used; idenfying parts of the expression 
before wring the expression is helpful .
§ How is wring expressions with variables and numbers different than wring 
expressions using words?
ú When an expression with words is provided, it is possible that it might be 
represented mathemacally in more than one way.  However, when an 
algebraic expression is wrien, there can only be one correct answer.  

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Module 4 lesson 16