DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 5)

Problem 1 :

A)  3

B)  6

C)  8

D)  150

Solution :

Problem 2 :

James must drive 100 miles before he can take his driver’s license test. He knows that when he drives around town running errands, he drives at an average speed of 20 miles per hour. If James maintains this average speed, how many hours must he drive to meet the requirement for his driver’s license test?

A)  5

B)  20

C)  80

D)  100

Solution :

Problem 3 :

The production cost p(x), in dollars, to produce x units of an item when materials cost $2 per item is given by p(x) = 2x + 150. What is the total cost to produce 2,000 units of this item?

A)  $1,850

B)  $2,300

C)  $3,850

D)  $4,150

Solution :

Problem 4 :

digitalsat4.png

In the figure above, what is the value of d if line a is parallel to line b?

Solution :

Problem 5 :

Stella had 211 invitations to send for an event. She has already sent 43 invitations and will send them all if she sends 24 each day for the next d days. Which of the following equations represents this situation?

A)  24d - 43 = 211

B)  24d + 43 = 211

C)  43d - 24 = 211

D)  43d + 24 = 211

Solution :

Problem 6 :

If 2x + 3 - 2= k(2x), what is the value of k?

A)  3

B)  5

C)  7

D)  8

Solution :

Problem 7 :

In triangle ABC, the sum of the measures of angle A and angle B is 90 degrees. The value of sin (A) = 2√7/8. What is the value oif cos (B) ?

A)  2√7/8

B)  2√7/6

C)  6√2/14

D)  8/23√2

Solution :

Problem 8 :

A quadratic function models the height, in feet, of an object above the ground in terms of time, in seconds, after the object was launched. According to the model, the object was launched from a height of 8 feet and reached its maximum height of 1800 feet 16 seconds after it was launched. Based on the model, what was the height in feet, of the object 24 seconds after it was launched?       

Solution :

Problem 9 :

The median of seven consecutive positive integers is 5. If one of the integers is selected at random, what is the probability that the selected integer is a multiple of 3?

Solution :

Problem 10 :

In triangle ABC, the sum of the measures of angle A and angle B is 90 degrees. The value of sin (A) = 2√7/8. What is the value oif cos (B) ?

A)  2√7/8

B)  2√7/6

C)  6√2/14

D)  8/23√2

Solution :

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