Daily Math Practice Challenge: Preparing for the ACT Exam-DAY 4


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6. Only juniors and seniors are enrolled in Algebra III. There are 3 juniors for each senior. On an Algebra III test, 80% of the juniors and 70% of the seniors passed. What percent of the students enrolled in Algebra III did NOT pass the test?

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Correct Answer:A
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Use the following information to answer questions 7- 9.

At a local pet store, 50 shoppers were polled to see if they owned cats or dogs. Among the polled shoppers, 31 owned at least 1 dog, 20 owned at least 1 cat, 7 owned at least 1 dog and at least 1 cat, and 6 owned neither a dog nor a cat.

7. How many of the 50 polled shoppers owned at least 1 dog but did NOT own at least 1 cat?

F. 11
G. 13
H. 23
J. 24
K. 25

Correct Answer:J
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8. One of the 50 polled shoppers will be selected at random. What is the probability that the selected shopper owned at least 1 dog or cat?

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Correct Answer:E
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9. Every polled shopper was given at least 1 gift for taking part in the survey. Those who owned at least 1 dog were given 1 dog toy valued at $4, those who owned at least 1 cat were given 1 cat toy valued at $3, and those who owned neither were given a gift card with a dollar value of g. A total dollar value of t was given to the shoppers. Which of the following expressions gives the value of g in terms of t ?

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Correct Answer:K
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10. In the figure shown below, ΔABC ∼ ΔDEF, and the given lengths are in inches. Which of the following expressions gives the value of x in terms of b ?

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Math1 20

Correct Answer:B
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