KEYSTONE REVIEW WORD PROBLEM
1ST QUARTER
Name:___________________________
Date:________________Pd:_________
____
10
Read the problem. Write your answer for each part.
Two circular ponds at a botanical garden have the following radii.
Pond A: 5 164 meters
Pond B:
25 200
5
Todd simplifies the radius of Pond A this way:
5 164
Step 1: 5

Step 2:
5 10  8
Step 3:
Step 4:
5(18)
90
100  64

One of Todd’s steps is incorrect.
Part A: Rewrite the step so it is correct.
Answer:______________________________
Part B: Using the corrected step from part A, simplify the radius of pond A.
Answer:_______________________________
Part C: Simplify the expression for radius of pond B.
Answer:________________________________________
Part D: Write an inequality to compare the radii of the ponds, using the original expressions.
Answer:__________________________________________
Name:__________________________
Date:_________________Pd:_______
Keystone Review Word Problem
Quarter 1
A surveyor used various methods to calculate the areas of several pieces of land. Their areas in
acres are listed below.
6√3,
A.
(3.5)2 ,
√75,
9.8 ,
57
5
List these numbers in order from greatest to least
_____________
______________
________________
________________
B.
Explain how you found the correct order for the numbers in part A.
C.
The surveyor wrote the related expressions below.
6𝑥√3,
𝑥(3.5)2 ,
𝑥√75,
9.8𝑥 ,
57𝑥
5
Suppose that x is a negative real number. List these expressions in order from greatest to
least.
_____________
______________
________________
________________
Part D on Back 
D. Explain how your found the correct order for the expressions in part C.
Name:__________________________
Date:_________________Pd:_______
Keystone Review Word Problem
Quarter 1
Three monomials are shown below.
12𝑎2 𝑏 6 ,
28𝑎4 , 42𝑎𝑏3
A. What is the greatest common factor (GCF) of these monomials?
Answer:_______________________________
B. What is the Least common multiple (LCM of these monomials?
Answer:__________________________________
C. You decided to square root all of the monomials. Simplify each.
√12𝑎2 𝑏 6 .
________________
√28𝑎4 ,
√42𝑎𝑏 3
_________________
_________________
Name:__________________________
Date:_________________Pd:_______
Keystone Review Word Problem
Quarter 1
Padma rented a bike for x hours and a kayak for y hours while she was on vacation
A.
She rented the bike and kayak for a total of 7 hours. Write an equation to represent this
situation.
Answer:_______________________________________
B. The bike cost $6 an hour and the kayak cost $10 an hour. Padma spent a total of $58 for the
bike and kayak rentals. Write an equation to represent this situation.
Answer:_______________________________________
C. How many hours did Padma rent the kayak? Show or explain your work.
Answer:________________________________________