Objective 2: Patterns, Relationships, And Algebraic Reasoning

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| Written by Dfitzpatrick

Dfitzpatrick

Community Contributor

Total Contribution - 10 | Total attempts - 2,612

Questions: 10 | Attempts: 277 | Updated: Mar 16, 2023

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Objective 2: Patterns, Relationships, And Algebraic Reasoning - Quiz

Notice that each question is labeled with the appropriate TEKS number/letter.
You can review specific TEKS by number/letter on a link on my website.
Good luck.

Questions and Answers

1.
- A.
  
  18
- B.
  
  27
- C.
  
  39
- D.
  
  54
Correct Answer
B. 27
2.

The state of Ohio has 88 counties. Texas has 10 fewer than three times as many counties. How many counties are in Texas? (8.5)(A)
- A.
  
  264
- B.
  
  254
- C.
  
  244
- D.
  
  39
Correct Answer
B. 254

Explanation
Texas has 10 fewer than three times as many counties as Ohio, which has 88 counties. To find the number of counties in Texas, we need to multiply 88 by 3 and then subtract 10. This gives us 264 - 10 = 254. Therefore, there are 254 counties in Texas.

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3.

Ashley mows lawns to earn money. She buys a new mower for $200 and charges $30 per lawn. If she mows n lawns, which of the following equations could you use to find p, Ashley's profit? (8.4)(A)
- A.
- B.
- C.
- D.
Correct Answer
A.

Explanation
The equation that could be used to find Ashley's profit is p = 30n - 200. This equation represents the total amount of money Ashley earns from mowing lawns (30n) minus the cost of the new mower ($200). The profit is calculated by subtracting the expenses from the total earnings.

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4.
- A.
- B.
- C.
- D.
Correct Answer
C.
5.

Ivan drove 318 miles on the first day of his trip from Austin, Texas, to New Orleans, Louisiana, and 194 miles on the second day. His average speed was s miles per hour the first day and t miles per hour the second day. Which equation can be used to find p, the time it took Ivan to complete his trip? (8.5)(A)
- A.
- B.
- C.
- D.
Correct Answer
A.

Explanation
The equation that can be used to find p, the time it took Ivan to complete his trip, is p = (318/s) + (194/t). This equation takes into account the distance traveled on each day and the average speed on each day. By dividing the distance traveled by the average speed, we can find the time it took for each day of the trip. Adding these two times together gives us the total time it took Ivan to complete his trip.

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6.
- A.
  
  Wendy walked about twice as fast as Levina.
- B.
  
  Wendy started her walk home later than Levina.
- C.
  
  Wendy had been walking for about half as long as Levina when she overtook Levina.
- D.
  
  Wendy had walked about half as far as Levina when she overtook Levina.
Correct Answer
D. Wendy had walked about half as far as Levina when she overtook Levina.
7.
- A.
- B.
- C.
- D.
Correct Answer
D.
8.

Ms. Jamison spends $75 each month eating out at fast food restaurants. She plans to reduce her spending for fast food by $5 each month until she has reduced her spending to $25 per month. Which equation can be used to determine m, the number of months it will take for Ms. Jamison to reduce her fast food spending to $25 per month? (8.4)(A)
- A.
- B.
- C.
- D.
Correct Answer
B.

Explanation
The equation that can be used to determine the number of months it will take for Ms. Jamison to reduce her fast food spending to $25 per month is $75 - $5m = $25. This equation represents the initial spending of $75 decreasing by $5 each month until it reaches the desired spending of $25 per month.

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9.

Lorenzo dropped a ball from an open window 50 feet above the ground in the Tower of the Americas in San Antonio, Texas. If the ball rebounds half the distance it drops each time it bounces, what will be the height of the rebound after the third bounce? (8.5)(B)
- A.
  
  3.125 ft
- B.
  
  6.25 ft
- C.
  
  12.5 ft
- D.
  
  25 ft
Correct Answer
B. 6.25 ft

Explanation
Each time the ball bounces, it rebounds half the distance it drops. After the first bounce, the ball will rebound to a height of 50/2 = 25 feet. After the second bounce, it will rebound to a height of 25/2 = 12.5 feet. After the third bounce, it will rebound to a height of 12.5/2 = 6.25 feet. Therefore, the height of the rebound after the third bounce is 6.25 feet.

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10.
- A.
  
  15 miles
- B.
  
  20 miles
- C.
  
  25 miles
- D.
  
  30 miles
Correct Answer
C. 25 miles