Algebra Keystone 2023 Released Items Module 2

Clara opens a bank account with some money. After opening the account, she deposits the same amount of money each week. She does not withdraw any money from the account. The list below shows how much money Clara has in her bank account at the end of each of the first four weeks.

$214,   $228,   $242,   $256

The pattern continues. Which expression represents how much money, in dollars, Clara has in her bank account at the end of n weeks?

• 200 + 14n

• 214 + 14n

• 200n + 14

• 214n + 14

Tags

CCSS.HSF.BF.A.2

Each week, Erica measures the height of a plant she is growing. The table shows her measurements.

What does the domain of this relation represent?

• the heights, in centimeters, of the plant

• the rate at which the plant grew between measurements

• the numbers of the weeks during which Erica recorded the heights of the plant

• the height, in centimeters, of the plant 1 week before Erica made her first measurement

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

A swimming pool holds 30,000 gallons of water. The graph shown represents the amount of water, in gallons, in the swimming pool as the pool is being drained. How much time, in minutes, does it take for the swimming pool to be completely drained?

• 100

• 300

• 900

• 1,000

Tags

CCSS.HSF.LE.B.5

A function of x is graphed on the coordinate plane shown. Which equation describes the function of x?

• f(x) = ˉ3⁄4 x + 3

• f(x) = ˉ3⁄4 x + 4

• f(x) = ˉ 4⁄3 x + 3

• f(x) = ˉ 4⁄3 x + 4

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Dana reads a certain book at an average rate of 2 pages every 3 minutes. The fourth chapter of the book is 28 pages. Based on his average rate, how many minutes will it take Dana to read the fourth chapter of the book?

• 9 1⁄3

• 18 2⁄3

• 42

• 84

Tags

CCSS.6.RP.A.3B

Marty is exercising

• After exercising, his heart rate is 168 beats per minute.

• His heart rate decreases at a constant rate of 4 beats per minute until it reaches his resting heart rate.

• Marty’s resting heart rate is 72 beats per minute.

How many minutes after exercising will it be until Marty's heart rate returns to his resting heart rate?

• 18

• 24

• 30

• 60

The graph of a linear function has a slope of ˉ1⁄4 and contains the point (8, 12) . What is the equation of the line?

• y = ˉ1⁄4 x - 10

• y = ˉ1⁄4 x - 5

• y = ˉ1⁄4 x + 11

• y = ˉ1⁄4 x + 14

A satellite is traveling in an orbit around Earth. Its altitude begins to decrease at a constant rate until the satellite reenters Earth’s atmosphere. The equation shown below can be used to determine the satellite's altitude (y), in kilometers, x months after its altitude began to decrease.

y = 17,600 - 23x

Which statement about the satellite is true?

• The satellite was at an altitude of 17,600 kilometers before its altitude began to decrease.

• The satellite will reenter Earth's atmosphere 23 months after its altitude began to decrease.

• The satellite was traveling at a rate of 17,600 kilometers per hour before its altitude began to decrease.

• The satellite has been slowing down at a rate of 23 kilometers per hour since its altitude began to decrease.

Tags

CCSS.HSF.LE.B.5

The list below describes the results, in minutes and seconds (m:s), of the 800-meter run during a track meet .

• The fastest time was 2:00.

• The first quartile time was 2:15.

• The third quartile time was 3:05.

• The slowest time was 3:30.

Which statement about the results of the 800-meter run is most likely true?

• About half the times were between 2:00 and 2:40.

• About half the times were between 2:00 and 2:45.

• About one-fourth of the times were between 2:15 and 3:30.

• About one-fourth of the times were between 3:05 and 3:30.

There are 8 members in a running group . Last week, the group ran a mean distance of 33 miles and a median distance of 32 miles . The distances, in miles, that five of the members ran last week are shown below .

25   44   23   32   26

Which list could show the distances, in miles, that the other three members ran last week?

• 32 37 45

• 32 45 48

• 34 34 38

• 30 36 48