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Post-Quiz Keystone Practice
Answer the following questions. Please read the directions carefully and show all of your work.
1.) Jason is trying to simplify the following expression. He has made an error in his work below.
Circle the step in which the error was made. Explain the mistake. Revise his work and give the
correct answer.
Step1: 3  2 x  5  8x
Show the correct steps here:
Step 2: 3  2x  3  5  3  8x
Step 3: 6x 15  24x
Step 4: 18x 15
2.) A grass-covered rectangular courtyard is 22 feet by 10 feet. There is a square garden in the
corner that is 3 feet wide. There is no grass in the garden. What is the area of the courtyard that is
covered with grass?
3.) Put the following numbers in order from least to greatest.
2.3
_______
2
5
_______ _______
4.) Use a calculator to write
 3
-2.3
_______
7
2
_______
2
2 5 
2
as a fraction in simplest form.
5.) Harry has a rectangular tarp that is 10 feet by 15 feet. He plans to cut out a rectangle that is 4
feet longer than it is wide. Write an expression for the area of the canvas that remains.
6.) Which of the following expressions represents the perimeter of the figure?
A. 5x - 3
B. 5x2 – 3x
C. 12x – 6
D. 10x – 6
7.) A polynomial expression is shown below.
m  2 x  5   3x  1
The expression is simplified to
23x  51 . What is the value of m?
A. 1
B. 20
C. 5
D. 10
8.) Claire purchased just enough fencing to border either a rectangular or triangular garden, as
shown, whose perimeters are the same. How many feet of fencing did she buy?