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ACT Math and Word Problem Strategies

ACT Math and Word Problem Strategies

Assessment

Presentation

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
6.SP.B.5C, HSF.IF.B.4, 8.SP.A.4

+9

Standards-aligned

Created by

Natalie Perejda

Used 1+ times

FREE Resource

18 Slides • 18 Questions

1

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2

Multiple Choice

Question image

Juro traveled to 3 locations during a workday. Juro remained at each location a whole number of hours. The graph shows the relationship between the time, in his workday and total distance, in kilometers, traveled. Which of the following values is closest to the average speed, in kilometers per hour, when Juro was traveling?

1

45

2

57

3

60

4

75

3

Multiple Choice

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Jonathan rode his bike every day for 18 days. The table shows each of the distances he rode. The table also shows the number of days he rode each of those distances. What is the median daily distance, in miles, that Jonathan rode his bike for the 18 days?

1

3

2

3.5

3

4

4

4.5

4

Multiple Choice

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A restaurant surveyed its customers to determine whether or not they like hamburgers and whether or not they like turkey burgers. The table shows the results of the survey. To the nearest 1%, what percent of the customers who responded to the survey like hamburgers? 

1

31%

2

50%

3

63%

4

71%

5

Multiple Choice

Question image

Deon often flies his kit. He can only fly his kite on days with wind. He does not fly his kite on every day with wind. For any given day, let Event A be that there is wind and let Event B be that Deon flies his kite. Which of the following values can P(A and B) be?

1

0

2

0.5

3

1

4

1.5

6

Multiple Choice

Question image

Cameron took 4 tests, and his scores were as follows: 100, 60, 80, and 30. Cameron took another test that was scored x. The mean score of the 5 tests he took is 72. What is the value of x?

1

54

2

67.5

3

68.4

4

90

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9

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10

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11

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12

Multiple Choice

Question image

Juro traveled to 3 locations during a workday. Juro remained at each location a whole number of hours. The graph shows the relationship between the time, in his workday and total distance, in kilometers, traveled. Which of the following values is closest to the average speed, in kilometers per hour, when Juro was traveling?

1

45

2

57

3

60

4

75

13

Multiple Choice

Question image

Jonathan rode his bike every day for 18 days. The table shows each of the distances he rode. The table also shows the number of days he rode each of those distances. What is the median daily distance, in miles, that Jonathan rode his bike for the 18 days?

1

3

2

3.5

3

4

4

4.5

14

Multiple Choice

Question image

A restaurant surveyed its customers to determine whether or not they like hamburgers and whether or not they like turkey burgers. The table shows the results of the survey. To the nearest 1%, what percent of the customers who responded to the survey like hamburgers? 

1

31%

2

50%

3

63%

4

71%

15

Multiple Choice

Question image

Deon often flies his kit. He can only fly his kite on days with wind. He does not fly his kite on every day with wind. For any given day, let Event A be that there is wind and let Event B be that Deon flies his kite. Which of the following values can P(A and B) be?

1

0

2

0.5

3

1

4

1.5

16

Multiple Choice

Question image

Cameron took 4 tests, and his scores were as follows: 100, 60, 80, and 30. Cameron took another test that was scored x. The mean score of the 5 tests he took is 72. What is the value of x?

1

54

2

67.5

3

68.4

4

90

17

Poll

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Did using the strategies help during Round 2?

Yes

No

18

Open Ended

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What strategies did you use while solving these problems?

19

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20

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21

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22

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23

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24

Multiple Choice

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What is the sum of the 2 solutions of the equation x2 - 4x - 45 = 0?

1

-45

2

-5

3

0

4

4

25

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26

Multiple Choice

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Of the 200 parking spaces in a parking lot, 6% of the spaces are reserved for accessible parking. Of those parking spaces not reserved for accessible parking, 20 are suitable for compact cars only. How many spaces that are not reserved for accessible parking are suitable for noncompact cars?

1

160

2

168

3

180

4

188

27

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28

Multiple Choice

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What is 4% of 1.36 x 104?

1

340

2

544

3

3,400

4

5,400

29

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30

Multiple Choice

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At a certain airline company, the cost to transfer mileage points from one account to another is $0.75 for every 100 mileage points transferred plus a onetime $20 processing fee. What is the cost to transfer 7,000 mileage points from one account to another?

1

$25.25

2

$67.50

3

$72.50

4

$95.00

31

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Multiple Choice

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The total cost of renting a car is $35.00 per day plus 42.5¢ for each mile the car is driven. What is the total cost of renting the car for 6 days and driving 350 miles? (Note: No sales tax is involved.)

1

$154.75

2

$224.88

3

$358.75

4

$420.00

33

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Multiple Choice

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An on-demand movie service charges $5 per month, plus $2 for each movie rented. Which of the following equations models the relationship between M, the number of movies rented per month, and T, the total monthly charge, in dollars, for the service?

1

M = 5 + 2T

2

M = 2 + 5T

3

T = 5 + 2M

4

T = 2 + 5M

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