School Improvement in Maryland

Public Release Item: Public Release items have appeared on HSA forms and then are released for public viewing and use. Releasing items is one step to ensuring that schools, districts, and other stakeholders understand how the core learning goals are assessed on the HSA.

Goal 1 Functions and Algebra

Expectation 1.1 The student will analyze a wide variety of patterns and functional relationships using the language of mathematics and appropriate technology.

Indicator 1.1.3 The student will apply addition, subtraction, multiplication, and/or division of algebraic expressions to mathematical and real-world problems.

Assessment Limits:

  • The algebraic expression is a polynomial in one variable.
  • The polynomial is not simplified.

Selected Response Item - Released in 2004

A rectangular rug is x + 4 feet wide and 2x + 1 feet long. Which expression represents the area of the rug?

  1. (x + 4) + (2x + 1)
  2. (x + 4) × (2x + 1)
  3. 2(x + 4) + 2(2x + 1)
  4. 2(x + 4) × (2x +1)
/share/clg/xml/public_release/mathematics/2004_113_alg06.xml

Correct Answer:
B

Selected Response Item - Released in 2004

A company bought equipment for x² + 5x dollars. One year later the value of the equipment was x² + 2 dollars. Which expression represents the amount that the equipment value decreased?

  1. (x² + 5x) - (x² + 2)
  2. (x² + 2) - (x² - 5x)
  3. (x² + 5x) ÷ (x² + 2)
  4. (x² + 2) x (x² + 5x)
/share/clg/xml/public_release/mathematics/2004_113_alg24.xml

Correct Answer:
A

Selected Response Item - Released in 2002

The expression 16x² + 28x - 36 represents the perimeter of a square. Which of these expressions represents the length of one side?








/share/clg/xml/public_release/mathematics/2002_113_alg33.xml

Correct Answer:
D

Selected Response Item - Released in 2003

In one day, a store sold 300 shirts at 25% off the regular price of x dollars. Which of these expressions represents the total amount, in dollars, that was received for the sale of shirts on that day?

  1. 0.25(x – 300)
  2. 25(x – 300)
  3. 300(x – 25)
  4. 300(x – 0.25x)
/share/clg/xml/public_release/mathematics/2003_113_alg19.xml

Correct Answer:
D

Selected Response Item - Released in 2001

A drawing of the swimming pool at Buckwood Camp is shown below.
Which of these expressions represents the perimeter of the pool?

  1. x + (x + 1) + (x – 4) + ( x + 3) + (x – 2)
  2. x – (x + 1) – (x – 4) – ( x + 3) – (x – 2)
  3. (x)(x)(x)(x)(x) + (1 – 4 + 3 – 2)
  4. x(x + 1)(x – 4)( x + 3)(x – 2)
/share/clg/xml/public_release/mathematics/2001_113_alg14.xml

Correct Answer:
A

Selected Response Item - Released in 2001

The state sales tax rate in Maryland is 5%. What is the total price of an item that costs x dollars?

  1. 0.05x
  2. x + 0.05
  3. x + 0.05x
  4. 0.5x
/share/clg/xml/public_release/mathematics/2001_113_alg33.xml

Correct Answer:
C

Selected Response Item - Released in 2005

Barbara has x dollars to spend. Joe has 2x + 3 dollars to spend. Which of these expressions represents the total amount of money Barbara and Joe have to spend?

  1. (2x + 3) + x
  2. (2x + 3) - x
  3. x(2x + 3)
  4. (2x + 3) ÷ x, x ≠ 0
/share/clg/xml/public_release/mathematics/2005_113_alg02.xml

Correct Answer:
A

Selected Response Item - Released in 2005

At a movie theater, the child ticket price is x dollars and the adult price is $3.50 more. One evening 41 child tickets were sold and 65 adults tickets were sold. Which of these expressions represents the total ticket sales, in dollars?

  1. 41x + 65(x + 3.50)
  2. 41x + 65x + 3.50
  3. 41x + 65(3.50)
  4. 41 + x + 65 + 3.50
/share/clg/xml/public_release/mathematics/2005_113_alg24.xml

Correct Answer:
A

Selected Response Item - Released in 2003

Martha is x years old. Esteban is x + 7 years old. Martha's mother is 3x + 5 years old. Which of these expressions represents how much older Martha's mother is than Esteban?

  1. (x + 7) - x
  2. (3x + 5) - x
  3. (x + 7) - (3x + 5)
  4. (3x + 5) - (x + 7)
/share/clg/xml/public_release/mathematics/2003_113_alg08.xml

Correct Answer:
D

Selected Response Item - Released in 2006

Carmen bought n books for a total cost of 13n-5 dollars. Which expression represents the cost of each book?

  1. n(13n- 5)
  2. n + (13n - 5)
  3. (13n - 5) ÷ n; n ≠ 0
  4. (13n - 5) - n
/share/clg/xml/public_release/mathematics/2006_113_alg23.xml

Correct Answer:
C

Selected Response Item - Released in 2006

A rectangular room is shown below.

Which expression represents the width of the door?

  1. (3x+6) - x - x
  2. (4x-1) - x - x
  3. (4x-1) - (3x + 6)
  4. (3x + 6) + (4x - 1) + (4x-1) + x + x
/share/clg/xml/public_release/mathematics/2006_113_alg36.xml

Correct Answer:
A

Selected Response Item - Released in 2007

An item is on sale for 25% off the original price. Which of these expressions represents the sale price of an item that originally sold for y dollars?

  1. 0.25y − y
  2. y − 0.25y
  3. y − 0.25
  4. 25y − y
/share/clg/xml/public_release/mathematics/2007_113_alg04.xml

Correct Answer:
B

Selected Response Item - Released in 2007

Look at the triangle below.

Which expression represents the perimeter of this triangle?

  1. 3x² + 2x + 8
  2. 3x² − 2x − 8
  3. (3x²)(2x)(8)
  4. 3 x squared times 2 x times 8 over 23 x squared times 2 x times 8 over 2
/share/clg/xml/public_release/mathematics/2007_113_alg18.xml

Correct Answer:
A
Resources for 1.1.3:
Skill Statements | PUBLIC RELEASE ITEMS |