Public Release Item Scoring ~ CLG ~ School Improvement in Maryland

Functions & Algebra | Data Analysis & Probability

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 2`x` + 1 feet long. Which expression represents the area of the rug? (`x` + 4) + (2`x` + 1) (`x` + 4) × (2`x` + 1) 2(`x` + 4) + 2(2`x` + 1) 2(`x` + 4) × (2`x` +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 `x`² + 5`x` dollars. One year later the value of the equipment was `x`² + 2 dollars. Which expression represents the amount that the equipment value decreased? (`x`² + 5`x`) - (`x`² + 2) (`x`² + 2) - (`x`² - 5`x`) (`x`² + 5`x`) ÷ (`x`² + 2) (`x`² + 2) x (`x`² + 5`x`) /share/clg/xml/public_release/mathematics/2004_113_alg24.xml	Correct Answer: A
Selected Response Item - Released in 2002
The expression 16`x`² + 28`x` - 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? 0.25(`x` – 300) 25(`x` – 300) 300(`x` – 25) 300(`x` – 0.25`x`) /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? `x` + (`x` + 1) + (`x` – 4) + ( `x` + 3) + (`x` – 2) `x` – (`x` + 1) – (`x` – 4) – ( `x` + 3) – (`x` – 2) (`x`)(`x`)(`x`)(`x`)(`x`) + (1 – 4 + 3 – 2) `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? 0.05`x` `x` + 0.05 `x` + 0.05`x` 0.5`x` /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 2`x` + 3 dollars to spend. Which of these expressions represents the total amount of money Barbara and Joe have to spend? (2`x` + 3) + `x` (2`x` + 3) - `x` `x`(2`x` + 3) (2`x` + 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? 41`x` + 65(`x` + 3.50) 41`x` + 65`x` + 3.50 41`x` + 65(3.50) 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 3`x` + 5 years old. Which of these expressions represents how much older Martha's mother is than Esteban? (`x` + 7) - `x` (3`x` + 5) - `x` (`x` + 7) - (3`x` + 5) (3`x` + 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 13`n`-5 dollars. Which expression represents the cost of each book? `n`(13`n`- 5) `n` + (13`n` - 5) (13`n` - 5) ÷ `n`; `n` ≠ 0 (13`n` - 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? (3`x`+6) - `x` - `x` (4`x`-1) - `x` - `x` (4`x`-1) - (3`x` + 6) (3`x` + 6) + (4`x` - 1) + (4`x`-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? 0.25`y` − `y` `y` − 0.25`y` `y` − 0.25 25`y` − `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? 3`x`² + 2`x` + 8 3`x`² − 2`x` − 8 (3`x`²)(2`x`)(8) /share/clg/xml/public_release/mathematics/2007_113_alg18.xml	Correct Answer: A
Selected Response Item - Released in 2008
Marina has $20 in a savings account. She wants to deposit $10 each week for `x` weeks into her savings account. If she does not withdraw any money, which expression below represents the total amount of money, in dollars, she will have in her savings account in `x` weeks? 10(20+x) x(10+20) 10x+20 20x+10 /share/clg/xml/public_release/mathematics/2008_113_alg19.xml	Correct Answer: C
Selected Response Item - Released in 2008
Three students sold pizzas to raise money. Dwayne sold x pizzas. Tamara sold x+20 pizzas. Rueben sold 3(x+20) pizzas. Which of these expressions represents the total number of pizzas that all three students sold? `x`(`x` + 20)•3(`x` + 20) `x` + (`x` + 20)+3(`x` + 20) /share/clg/xml/public_release/mathematics/2008_113_alg36.xml	Correct Answer: B