Problem 1 :
Identify the variable in the following expression :
23 + y
Problem 2 :
Compare and contract the expressions 2 + x and 2 + 3.
Problem 3 :
Evaluate the following expression when x = 8 and y = 10.
2x + 3y
Problem 4 :
Evaluate the following expression when x = 4 and y = 5.
xy - 2y
Problem 5 :
Let the variable expression 4 ⋅ k represent the amount of food a blue whale can eat in 'k' number of days. Evaluate the expression 4 ⋅ k when k = 90 to find about how many tons of food a blue whale can eat in a feeding season of 90 days.
Problem 6 :
You are planning to divide the 120 players in a baseball league into teams with the same number of players. Use a verbal model to write a variable expression for the number of teams, if you know the number of players in each team.
Problem 1 :
Identify the variable in the following expression :
23 + y
Answer :
Variable is a letter used to represent one or more numbers. 'y' is the letter found in the above expression.
So, 'y' is the variable in '23 + y'.
Problem 2 :
Compare and contract the following two expressions :
(2 + x) and (2 + 3)
Answer :
In the first expression (2 + x), we find a number '2' and variable 'x' with binary operation '+'. So, it is a variable expression.
In the second expression (2 + 3), we find only the numbers '2' and '3' with binary operation '+'. So, it is a numerical expression.
Problem 3 :
Evaluate the following expression when x = 8 and y = 10.
2x + 3y
Answer :
= 2x + 3y
Substitute 8 for x and 10 for y.
= 2(8) + 3(10)
Simplify.
= 16 + 30
= 36
Problem 4 :
Evaluate the following expression when x = 4 and y = 5.
xy - 2y
Answer :
= xy - 2y
Substitute 4 for x and 5 for y.
= (4)(5) - 2(5)
Simplify.
= 20 - 10
= 10
Problem 5 :
Let the variable expression 4 ⋅ k represent the amount of food a blue whale can eat in 'k' number of days. Evaluate the expression 4 ⋅ k when k = 90 to find about how many tons of food a blue whale can eat in a feeding season of 90 days.
Answer :
= 4 ⋅ k
Substitute 90 for k.
= 4 ⋅ 90
Multiply.
= 360
A blue whale can eat about 360 tons of food in 90 days.
Problem 6 :
You are planning to divide the 120 players in a baseball league into teams with the same number of players. Use a verbal model to write a variable expression for the number of teams, if you know the number of players in each team.
Answer :
Let y be the number of players in each team.
The word divide indicate division.
Number of teams
=
Number of players in league
÷
Number of players in each team
Number of teams = 120 ÷ y or 120/y.
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