MATH 2

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An investment of $1,800 decreases by a third. Its new value is 20% of the value of a second investment. What is the value of the second investment?

$6,000

Which of the following equations is parallel to y = -4x + 5 and passes through the point (1,3)? A. y = -4x + 7 B. y = -4x + 5 C. y = 4x + 5 D. y = 4x +7 E. y = 4x + 3

A.

42% of 83 is 17% of what number?

205

If 2x - 4y = 20 and 4x + y = 22, what is the value of x + y?

4

5 is to 0.05 as 20 is to?

0.2

A scientist has 5 ounces of 10% alcohol solution in a beaker. If the scientist adds more water to the solution to dilute it down to 5% alcohol, what is the total amount of the final solution in ounces?

10

After the gym, Brittany drives 8 miles south and 6 miles east to reach her house. How far is the gym from Brittany's house? A. 7 miles B. 9 miles C. 10 miles D. 13 miles E. 15 miles

10 miles

There are 10 members in the pre-dental club. How many different groups of 3 can be formed?

120

In a class of 100 students, 60 students are taking physics, 55 are taking math, and 30 are taking both. How many students are taking neither?

15

The grades on a chemistry exam are normally distributed with a mean of 82% and a standard deviation of 6. What is the probability that a student has scored 88% or higher on the exam?

16%

In a chemistry class, 60% of the students passed the midterm, and 40% of these midterm-passing students passed the final. Assuming the students who failed the midterm also failed the final, what percentage of the students passed the final?

24%

In a small town, the probability that a person is blond or left-handed is 70%. The probability that a person is blond is 60%, and the probability that a person is left-handed is 40%. What is the probability that a person is blond and left-handed?

30%

For a restaurant, there are 3 choices for appetizers, 5 choices for the main course, and 3 choices for dessert. How many total meal combinations are there if you have to choose one appetizer, one main course, and one dessert?

45

The class average for a midterm was 70 and the standard deviation was 8. If Danny's score was a z-score of +1.5, what was his score on the midterm?

82

The points (x,-4) and (9,2) have a distance of 6 between them. Find the value of x.

9

Jimmy has quarters and dimes in his pocket. How many quarters does he have? 1) Jimmy has 5 fewer dimes than quarters 2) Jimmy has a total of $3.00 A. Statement 1) alone is sufficient but statement 2) alone is NOT sufficient to answer the question B. Statement 2) alone is sufficient but statement 1) alone is NOT sufficient to answer the question C. both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone D. Each statement alone is sufficient to answer the question

C

There are 30 students in a classroom, 12 boys and 18 girls. The average weight of the boys is 180 lbs. The average weight of the girls is 155 lbs. Quantity A: The total weight of all 30 students. Quantity B: 4950 lbs A. Quantity A is greater B. Quantity B is greater C. The two quantities are equal D. The relationship cannot be determined from the information given.

C.

Alex can mow a lawn in 6 hours, while Jeff can mow the same lawn in 3 hours. If Alex and Jeff work together, how long would it take them to mow the lawn? A. 1 hour and 15 minutes B. 1 hour and 45 minutes C. 2 hours D. 2 hours and 45 minutes E. 3 hours

C. 2 hours

Jane is 160 cm and casts a shadow of 90 cm. If Mike is 120 cm tall, what is the length of the shadow he will cast? A. 82.5 cm B. 72 cm C. 67.5 cm D. 65 cm

C. 67.5

Albert has 6 more dimes than nickels. If he has a total of $2.10, how many dimes and nickels does he have? A. 4 nickels and 19 dimes B. 5 nickels and 11 dimes C. 8 nickels and 17 dimes D. 10 nickels and 16 dimes E. 16 nickels and 10 dimes

D.

Moe is 5 inches taller than David. If the sum of their heights is 11 feet and 9 inches, how tall is David? A. 6 ft 1 in B. 6 ft 0 in C. 5 ft 9 in D. 5 ft 8 in E. 5 ft 7 in

D.

Chris can shovel a parking lot in 6 hours. It takes Alex 5 hours to shovel the same parking lot. If Chris and Alex work together, how many hours will it take them to shovel the parking lot? A. 1 hour 52 minutes B. 2 hours 30 minutes C. 3 hours D. 3 hours 18 minutes E. 2 hours 44 minutes

E.

Is z > 0? 1) x < z 2) x < 0 A. Statement 1) alone is sufficient but statement 2) alone is NOT sufficient to answer the question B. Statement 2) alone is sufficient but statement 1) alone is NOT sufficient to answer the question C. both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone D. Each statement alone is sufficient to answer the question

E.

Sam is 6 years older than his friend David. Nine years ago, Sam was triple David's age. Quantity A: David's age in 5 years Quantity B: seventeen A. Quantity A is greater B. Quantity B is greater C. The two quantities are equal D. The relationship cannot be determined from the information given.

The two quantities are equal


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