Algebraic vs Numeric
Write an example of an algebraic expression.
Anything with at least one letter and no equal sign in it is an algebraic expression.
What is a variable quantity?
A variable quantity is a measurement/ amount that can change (vary) in a story problem.
If you are asked to describe an expression what are you looking for to determine if it is a sum, difference, product, or quotient?
You are looking for the last step in the problem to determine its description.
3 + m when m=7
10
write the expression for this phrase: 28 decreased by 14
28- 14
What is the difference between Algebraic and Numerical Expressions?
Algebraic expressions contain variables (letters) and numeric expressions do not.
If you go to Cedar Point for 10 hours, the amount of rides you go on will depend on the length of the lines for each ride. What is a variable quantity from this problem?
Number of ride you go on or the length of the lines at each ride.
Which parts of this expression could you describe as a product of two factors?
4(6x + 5) - (54y/ 9) + 15 (2z)
4 (6x+ 5), 15 (2z), 2z
4m/5 when m=20
25
Write the expression for this phrase: m fewer than 42
42 - m
Can an algebraic expression contain only letters? Can an algebraic expression contain more than one letter?
YES and YES
Mr.Jones is going to throw a 6th grade dance. It will cost him $100 for a DJ and $5 per person for food. He does not know how many people will attend. Is the cost per person for food a variable quantity?
No, it cost $5 per person for food.
What are the factors in this expression?
8 (x + 3)
8, x+ 3
3x - y when x=8 and y = 6
18
Write the expression for this word phrase: 71 increased by the quotient of 165 and "n"
71 + 165/n
A manufacturing company has 16 machines. It runs all the machines from 8am until noon. From noon until 2pm it only runs 7 machines. Then from 2 pm until close it runs 11 machines. Which is a variable quantity?
The number of machines running from noon until 2pm?
The number of machines running at any one time during the day?
The number of machines the company has?
The number of machines running at any one time during the day
How would you describe this expression?
4(6x+ 5) + (54y/9) + 15 (2z)
The sum of 3 terms.
4p2 + b2 when p=8 and b=5
281
Leonard pays $15 for a movie rental membership. With his membership, each movie is $3. Write an expression for the total bill for one month if he rents "m" movies that month.
15 + 3m
12y/x + 2(z-9) when x= 4 , y= 5 , and z=13
23