Transcript OPEN RESPONSE QUESTION FROM MCAS SPRING 2004, …

INTRODUCTION
OPEN RESPONSE QUESTION
FROM MCAS SPRING 2004,
GRADE 10, #17
The following is an “Open Response” question. It is
important to practice these types of questions in
preparation for the State Mandated MCAS. This exercise
will help you walk through the process. There will also be
some reference links to assist you.
HOW TO ANSWER AN OPEN
RESPONSE QUESTION
Be sure to
 Read all parts of each question carefully.
 Make each response as clear, complete
and accurate as you can.
 Check all your work!
TOPIC
Identify and use the properties of operations on real
numbers, including associative, commutative, and
distributive properties and the existence of the identity and
inverse elements for addition and multiplication.
Properties
QUESTION #17
Given the following true statements (equations) find the value of
the real numbers p, t, v, and z.
(v)(p)= v, v not equal to zero
8z = p
v+5=t
t+ p = p
A
What is the numerical value of p? Write the equation or
equations you used to find its numerical value and explain
your reasoning.
HINT
Which of the four given equations
might help you find the value of p?
v(p) =v What number can you
multiply v by to get v? (identity)
B
What is the numerical value of t? Write the equation or equations
you used to find its numerical value and explain your reasoning.
HINT
Which of the four given equations
might help you find the value of t?
t + p = p What number can you add to
p to get p? (identity for addition)
C
What is the numerical value of v? Write the equation or
equations you used to find its numerical value and explain your
reasoning.
HINT
Which of the four given equations
might help you find the value of v?
V + 5 = t You already know t.
Subtract 5 from both sides.
(subtraction property of equality,
undo addition with subtraction
(inverse))
D
What is the numerical value of z? Write the equation or
equations you used to find its numerical value and explain your
reasoning
HINT
Which of the four given equations
might help you find the value of z?
8z = p You already know p. Divide
both sides of the equation by 8.
(division property of equality, undo
multiplication with division
(inverse))
REFERENCES
If you are having any trouble with this problem there are some
links below that will help you with the standards involved with
this question:
ASK DR. MATH
LINEAR EQUATION SOLVER
WEB MATH
MCAS ARCHIVES
HOMEWORK HELPER
EVALUATION
Score
Description
4
The response demonstrates a thorough understanding of the area.
3
The response demonstrates a general understanding of the area.
2
The response demonstrates a partial understanding of the area.
1 The response demonstrates a minimal understanding of the area.
0
The response is incorrect or contains some correct work that is irrelevant
to the skill or concept being measured. The page is blank.
View students answers for value points 4 to 0
CONCLUSION
SOOOO! How did you do?
 Take a break, you earned it.
 Call a friend, have them do
the same problem and you can
talk about it.

Try another problem.
to try another Problem 