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 1.2 The student will model and interpret real-world situations using the language of mathematics and appropriate technology. Indicator 1.2.5 The student will apply formulas and/or use matrices (arrays of numbers) to solve real-world problems. Assessment Limits: Formulas will be provided in the problem or on the reference sheet. Formulas may express linear or non-linear relationships. The students will be expected to solve for first degree variables only. Matrices will represent data in tables. Matrix addition, subtraction, and/or scalar multiplication may be necessary. Inverse and determinants of matrices will not be required.

### Selected Response Item - Released in 2004

Two machines make three different products in three different sizes: small (S), medium (M), and large (L). The matrices below show the number of products each machine makes in one day.

Which of these matrices represents the number of medium-sized products made by the two machines?

/share/clg/xml/public_release/mathematics/2004_125_alg04.xml

Correct Answer:
A

### Selected Response Item - Released in 2004

The rectangular solid below has a volume of 5,600 cubic inches, a width of 20 inches, and a height of 8 inches.

What is the length (x) of the rectangular solid?

1. 20 inches
2. 35 inches
3. 200 inches
4. 280 inches
/share/clg/xml/public_release/mathematics/2004_125_alg28.xml

Correct Answer:
B

### Selected Response Item - Released in 2003

The Class of 1998 sold class shirts in the styles and sizes shown in the matrix below. The Class of 1999 ordered twice the amount of shirts that were sold in 1998.

What was the total number of extra-large shirts that were ordered by the Class of 1999?

1. 46
2. 60
3. 74
4. 120
/share/clg/xml/public_release/mathematics/2003_125_alg01.xml

Correct Answer:
D

### Student Produced Response (SPR) Item - Released in 2001

Use the Response Grids in the Answer Book to complete the following.

The formula below can be used to find the distance (d) traveled by an object, where v represents the initial velocity of the object, t represents the time, in seconds, and a represents the acceleration, in meters per second squared.

d = vt + at²

A bicycle traveling at a velocity of 4.5 meters per second accelerates down a hill at a constant rate of 0.4 meters per second squared for 12 seconds. What is the distance, in meters, that the bicycle travels?

/share/clg/xml/public_release/mathematics/2001_125_alg08.xml

Correct Answer:
82.8-83

### Selected Response Item - Released in 2001

The Jaguar Soccer Club is joining the Tiger Soccer Club to create a new county soccer program. The enrollment in each of the clubs is shown below.

What will be the total number of girls in the new county program?

1. 137
2. 150
3. 287
4. 445
/share/clg/xml/public_release/mathematics/2001_125_alg18.xml

Correct Answer:
C

### Selected Response Item - Released in 2001

While on a business trip to France, Bob felt ill. The hotel manager gave him a thermometer which measured his temperature in degrees Celsius. The thermometer read 38°C. The formula below is used to convert temperatures in degrees Celsius (C) to degrees Fahrenheit (F).

F = C + 32

What is Bob's temperature in degrees Fahrenheit? Round the answer to the nearest whole number.

1.   99°F
2. 100°F
3. 101°F
4. 102°F
/share/clg/xml/public_release/mathematics/2001_125_alg25.xml

Correct Answer:
B

### Selected Response Item - Released in 2001

Each day the local music store completes a starting and ending inventory of all cassettes and CDs. The matrices below show the inventory for jazz and rock music on a given day.

Which of these categories showed the largest change from the start of the day to the end of the day?

1. Jazz cassettes
2. Rock cassettes
3. Jazz CDs
4. Rock CDs
/share/clg/xml/public_release/mathematics/2001_125_alg46.xml

Correct Answer:
C

### Selected Response Item - Released in 2002

The matrices below compare teen consumption of milk and soda in 1978 and 1996.

Which of these matrices shows the change in consumption from 1978 to 1996?

/share/clg/xml/public_release/mathematics/2002_125_alg02.xml

Correct Answer:
B

### Selected Response Item - Released in 2002

The formula for the height of a falling object is shown below,where h is the height of the object in meters, t is the time in seconds, and k is the height, in meters, from which the object began its fall.

h = -4.9t² + k

If a rock is dropped from a building that is 150 meters tall, what is the height of the rock 4 seconds after it was dropped?

1. 71.6 meters
2. 78.4 meters
3. 130.4 meters
4. 145.1 meters
/share/clg/xml/public_release/mathematics/2002_125_alg10.xml

Correct Answer:
A

### Student Produced Response (SPR) Item - Released in 2002

Use the Response Grids in the Answer Book to complete the following.

The matrix below shows the sales, in thousands of dollars, for three different stores over a period of two years.

Each store's profit is 3% of its sales. What is the profit, in thousands of dollars, for Store B in Year 2?

/share/clg/xml/public_release/mathematics/2002_125_alg38.xml

Correct Answer:
9

### Selected Response Item - Released in 2005

The matrix below shows the annual salaries, in dollars, for 3 different jobs based on the employee's level of education.

If each employee's salary increased by 5%, which of these matrices represents the new salaries?

/share/clg/xml/public_release/mathematics/2005_125_alg28.xml

Correct Answer:
C

### Student Produced Response (SPR) Item - Released in 2005

Use the Response Grids in the Answer Book to complete the following.

Sue's doctor must decide how much medicine she needs for each dosage. The dosage (d), in milligrams, depends on Sue's body mass (m), in kilograms. The formula below is used to calculate the dosage of her medicine.

d = 0.1m2 + 5m

What is the dosage needed, in milligrams, if Sue's body mass is 70 kilograms?

/share/clg/xml/public_release/mathematics/2005_125_alg36.xml

Correct Answer:
840

### Selected Response Item - Released in 2005

At the end of each day, Bob's Balloon Shop counts how many balloons they have in the store. The results of their Monday and Tuesday counts are shown in the matrices below. The shop received no new balloons on either day.

How many helium balloons did they sell on Tuesday?

1. 7
2. 12
3. 38
4. 43
/share/clg/xml/public_release/mathematics/2005_125_alg05.xml

Correct Answer:
D

### Selected Response Item - Released in 2009

A store sells T-shirts. The matrices below show the number of T-shirts in the store on November 1 and December 1.

If the store did not add any additional T-shirts between November 1 and December 1, what size T-shirt sold the least?

1. S
2. M
3. L
4. XL
/share/clg/xml/public_release/mathematics/2009_125_alg08.xml

Correct Answer:
B

### Student Produced Response (SPR) Item - Released in 2009

The matrix below shows the grades on an algebra test and a science test for three students.

Lauren increased her grade on the next science test by 5%. What was Lauren’s grade on her next science test?

/share/clg/xml/public_release/mathematics/2009_125_alg23.xml

Correct Answer:
84

### Selected Response Item - Released in 2009

In a mathematics class, the formula below is used to convert the number of points scored on a test from a raw score (R) to an adjusted score (A).

A = R + 20

What is the adjusted score if the raw score is 64?

1. 73
2. 76
3. 93
4. 96
/share/clg/xml/public_release/mathematics/2009_125_alg51.xml

Correct Answer:
B

### Student Produced Response (SPR) Item - Released in 2003

Use the Response Grids in the Answer Book to complete the following.

The formula to approximate the height (h) of a male, in inches, is shown below, where t is the length of the tibia bone, in inches.

h = 2.4t + 32.2

Paul's height is 69.4 inches. What is the approximate length, in inches, of Paul's tibia bone?

/share/clg/xml/public_release/mathematics/2003_125_alg13.xml

Correct Answer:
15.5

### Student Produced Response (SPR) Item - Released in 2004

Use the Response Grids in the Answer Book to complete the following.

The matrices below show what drinks high school and college students prefer during the winter and the summer.

How many high school and college students prefer milk in winter and summer?

/share/clg/xml/public_release/mathematics/2004_125_alg12.xml

Correct Answer:
1213

### Selected Response Item - Released in 2006

The matrix below shows the supplies that are needed to build two different model trucks.

How many sheets of plastic are needed to build 17 fire trucks?

1. 170
2. 374
3. 544
4. 595
/share/clg/xml/public_release/mathematics/2006_125_alg01.xml

Correct Answer:
B

### Student Produced Response (SPR) Item - Released in 2006

Use the Response Grids in the Answer Book to complete the following.

The matrices below show where Willings High School students went after graduating in the years 1998 to 2000. These students either went to work (W), to a technical college (T), or to a university (U).

What is the total number of females who went to a university?

/share/clg/xml/public_release/mathematics/2006_125_alg26.xml

Correct Answer:
665

### Selected Response Item - Released in 2006

The formula below can be used to find the actual air temperature (t) when the wind speed is 20 miles per hour.

(w = wind-chill temperature)

What is the actual air temperature if the wind-chill temperature is -12°?

1. -57°
2. -21°
3.  18°
4.  41°
/share/clg/xml/public_release/mathematics/2006_125_alg31.xml

Correct Answer:
C

### Selected Response Item - Released in 2007

The matrices below show the number of students that participate in sports at Valley High School.

What sport has the greatest number of 11th-grade students who participate in that sport?

1. soccer
2. swimming
3. basketball
4. volleyball
/share/clg/xml/public_release/mathematics/2007_125_alg01.xml

Correct Answer:
C

### Student Produced Response (SPR) Item - Released in 2007

Max needs a wooden brace to strengthen his gate shown below. The formula can be used to find the length of the brace, where a and b represent the dimensions of the gate and c represents the length of the brace.

What is the length of wood, in inches, that Max needs for the brace?

/share/clg/xml/public_release/mathematics/2007_125_alg13.xml

Correct Answer:
60

### Selected Response Item - Released in 2007

The matrices below show information about students in two classes.

Which matrix represents the mean of the two classes?

/share/clg/xml/public_release/mathematics/2007_125_alg35.xml

Correct Answer:
D

### Selected Response Item - Released in 2008

The following formula can be used to find the wind-chill temperature (w) when the wind speed is 20 miles per hour.

w = −39 + t (t = actual air temperature)

Which of these is the actual air temperature if the wind-chill temperature is −12°?

1. −57°
2. −21°
3. 18°
4. 41°
/share/clg/xml/public_release/mathematics/2008_125_alg12.xml

Correct Answer:
C

### Student Produced Response (SPR) Item - Released in 2008

Brooke and Josh each took a two-day road trip. The matrix below shows their average speeds, in miles per hour, for each day that they traveled.

If they each traveled 6 hours per day, what is the longest distance, in miles, traveled by either Josh or Brooke in a single day?

/share/clg/xml/public_release/mathematics/2008_125_alg30.xml

Correct Answer:
366

### Selected Response Item - Released in 2008

The matrices below show the sales information for 3 different Fast Food Unlimited stores over a 2-week period. The district manager will present an award to the store with the single highest-selling item over this 2-week period.

Using the matrices above, determine which store received the award and for which highest-selling item.

1. Store A for hamburgers
2. Store B for grilled chicken
3. Store B for hot dogs
4. Store C for hot dogs
/share/clg/xml/public_release/mathematics/2008_125_alg33.xml

Correct Answer:
D

 Resources for 1.2.5: Skill Statements | PUBLIC RELEASE ITEMS |