Keystone Algebra 1 End of Unit 3 Review

A pattern in Shannon's phone charges is shown in the table. The pattern continues. Which graph represents the pattern in the charges?

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CCSS.HSA.CED.A.2

The table shows the relationship between the number of tickets sold for a concert and a theater's net profit, in dollars. Which graph could represent the relationship between the number of tickets sold (x) and the theater's net profit (y)?

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CCSS.HSA.CED.A.2

A line segment on a coordinate plane representing the distance a bicyclist is from home has a slope of 35/2. On a line segment, x represents time, in hours, that the bicyclist has been riding and y represents the bicyclists distance, in miles, from home. The bicyclist began his ride at home and rides his bicycle at a constant rate. How long will it take until the bicyclist is 140 miles from home?

• 2 hours

• 4 hours

• 7 hours

• 8 hours

Answer explanation

The slope of 35/2 means the bicyclist travels 35 miles every 2 hours. To find the time to reach 140 miles, set up the equation: 140 = (35/2) * t. Solving gives t = 8 hours.

Tags

CCSS.HSA.CED.A.2

The ordered pairs shown are on the same line: (6, 4), (12, 6). which equation describes the relationship between the x-coordinate and the y-coordinate in the ordered pairs?

• y = 3x - 14

• y = 3x - 6

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CCSS.HSA.CED.A.2

Michelle went on a bicycle trip. The scatter plot below shows the distance she had traveled for various lengths of the time during the bicycle trip. Which equation describes the line of best fit for the scatter plot?

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CCSS.HSA.CED.A.2

Marti has been keeping track of the number of visitors to her new website for the past 9 months. The line graph shows the data Marti recorded. Based on the trend shown in the graph, which will MOST LIKELY be the number of visitors to Marti's website for the 12 month?

• 5,000

• 6,000

• 8,000

• 10,000

Answer explanation

The graph shows a steady increase in visitors over the past 9 months. Based on this trend, it is reasonable to predict that the number of visitors will reach around 8,000 by the 12th month.

Tags

CCSS.HSS.ID.C.7

Hank counted the number of scratches on cars of different ages. Hank then created a scatter plot showing the relationship between the age of a car (x) and the number of scratches found on the car (y). Based on the line of best fit, which is most likely the number of scratches that could be found on a car that is 30 years old?

• 30

• 74

• 87

• 100

Answer explanation

Based on the scatter plot and the line of best fit, a car that is 30 years old is likely to have around 87 scratches, as this value aligns with the trend observed in the data.

Tags

CCSS.HSS.ID.C.7

CCSS.HSS.ID.B.6

A number pattern in shown. The pattern continues. What is the difference between the last number in row 5 and the first number in row 5?

• 12

• 15

• 43

• 9

Answer explanation

In row 5, the first number is 15 and the last number is 27. The difference is 27 - 15 = 12. Therefore, the correct answer is 12.

Tags

CCSS.HSA.CED.A.1

At the beginning of a road trip, there are 14,000 miles on Denny's car. During the trip, Denny drives his car at an average speed of 55 miles per hour. Which graph best shows the total number of miles (y) on the car as a function of the number of hours (x) Denny drives at 55 miles per hour?

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CCSS.HSA.CED.A.2

The graph shows the relationship between the number of minutes (x) that have passed since an airplane began its descent and the height above ground (y), in feet, of the airplane. Based on the graph, how long after it starts its descent will the airplane reach a height of 3,000 feet?

• 14 minutes

• 16 minutes

• 28 minutes

• 32 minutes

Answer explanation

The graph indicates that the airplane reaches a height of 3,000 feet at 28 minutes after it starts its descent, as shown by the intersection point on the y-axis at 3,000 feet.

Tags

CCSS.HSA.REI.D.11