DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 271)

Problem 1 :.

The area of a triangle is equal to x2 square inches. The base of the triangle is 21 – x inches, and the height of the triangle is 4 – x inches. Which of the following could be the value of x?

A)  –28

B)  –3

C)  1/2

D)  2

Solution :

Problem 2 :

The table gives the volume of two similar cylinders. If the radius of cylinder A is 6 cm, what is the value of rs?

digitalsatmath379.png

volume = πr2h

surface area = 2πr2 + 2πrh

Solution :

Problem 3 :

In triangle ABC, angle C is a right angle, point D lies on AB, point E lies on BC, and DE is parallel to AC. If the length of AB is 39 units, DE is 8 units, the length of AC is greater than the length of BC, and the area of the triangle ABC is 270 square units, what is the length of BE, in units?

Solution :

Problem 4 :

If k = + m, which of the following is equivalent to the expression x22 – 2ℓmm2?

A)  (x + k)2

B)  (xk)2

C)  (x + k)(xk)

D)  x2kxk2

Solution :

Problem 5 :

In the equation below, k is a constant. What is the value of k, if the equation has one solution?

¼|x – 4| – 30 = 2k

Solution :

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