DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 233)

Problem 1 :

The equation above is always true for all values of x except x = -1 and  x = -2, where a and b are constants. What is the value of a?

Solution :

Problem 2 :

In the equation above, k is a constant. If the equation has no solution, what is the value of k?

Solution :

Problem 3 :

Which of the following is equal to 10^-2/3?

A)  √100

B)  ³√100

C)  ³√1/100

D)  ³√1/100²

Solution :

Problem 4 :

If x + 2y = 2 and x – 2y = 10, what is the value of 2x² – 8y²?

A)  40

B)  30

C)  20

D)  10

Solution :

Problem 5 :

Which of the following numbers is contained in the domain of the function f(x) = 1/(x - 5) - 1/√(x - 5)?

A)  6

B)  5

C)  -5

D)  -6

Solution :

Problems 6-7 refer to the following information.

The kinetic energy of an object is given by ½mv², where m is the mass of the object v is its velocity.

Problem 6 :

If the kinetic energy of a moving tennis ball is doubled, its velocity must have increased by what factor?

A)  4

B)  2

C)  √3

D)  √2

Solution :

Problem 7 :

A radioactive element loses 15% of its mass and 20 percent of its velocity. By what percent has its kinetic energy decreased?

A)  32% 

B)  36.2%

C)  24.8%

D)  45.6%

Solution :

Problem 8 :

In rectange ABCD above E is on DC, F is on BC, DE = 6 and FC = 1. If angle A is trisected (divided into three equal angles) by AE and AF, what is the length of BF?

A)  5

B)  5√2 - 1

C)  5√3 - 1

D)  6√3 - 1

Solution :

Problem 9 :

x - 3y = 4

2(x - 1) - 6(y + 2) = -6

How many solutions (x, y) are there to the system of equations above?

A)  Zero

B)  One

C)  Two

D)  More than two

Solution :

Problem 10 :

Gracie regularly buys six different items at the grocery store. The average price of the items is $30. The prices of five of the items are $7, $25, $36, $40, and $44. What is the price of the sixth item?

Solution :

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10 Hard Digital SAT Math Questions (Part - 23)

10 Hard Digital SAT Math Questions (Part - 24)

10 Hard Digital SAT Math Questions (Part - 25)

10 Hard Digital SAT Math Questions (Part - 26)

10 Hard Digital SAT Math Questions (Part - 27)

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10 Hard Digital SAT Math Questions (Part - 29)

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10 Hard Digital SAT Math Questions (Part - 33)

10 Hard Digital SAT Math Questions (Part - 34)

10 Hard Digital SAT Math Questions (Part - 35)

10 Hard Digital SAT Math Questions (Part - 36)

Digital SAT Problems and Solutions (Part - 1)

Digital SAT Problems and Solutions (Part - 2)

Digital SAT Problems and Solutions (Part - 3)

Digital SAT Problems and Solutions (Part - 4)

Digital SAT Problems and Solutions (Part - 5)

Digital SAT Problems and Solutions (Part - 6)

Digital SAT Problems and Solutions (Part - 7)

Digital SAT Problems and Solutions (Part - 8)

Digital SAT Problems and Solutions (Part - 9)

Digital SAT Problems and Solutions (Part - 10)

Digital SAT Problems and Solutions (Part - 11)

Digital SAT Problems and Solutions (Part - 12)

Digital SAT Problems and Solutions (Part - 13)

Digital SAT Problems and Solutions (Part - 14)

Digital SAT Problems and Solutions (Part - 15)

Digital SAT Problems and Solutions (Part - 16)

Digital SAT Problems and Solutions (Part - 17)

Digital SAT Problems and Solutions (Part - 18)

Digital SAT Problems and Solutions (Part - 19)

Digital SAT Problems and Solutions (Part - 20)

Digital SAT Problems and Solutions (Part - 21)

Digital SAT Problems and Solutions (Part - 22)

Digital SAT Problems and Solutions (Part - 23)

Digital SAT Problems and Solutions (Part - 24)

Digital SAT Problems and Solutions (Part - 25)

Digital SAT Problems and Solutions (Part - 26)

Digital SAT Problems and Solutions (Part - 27)

Digital SAT Problems and Solutions (Part - 28)

Digital SAT Problems and Solutions (Part - 29)

Digital SAT Problems and Solutions (Part - 30)

Digital SAT Problems and Solutions (Part - 31)

Digital SAT Problems and Solutions (Part - 32)

Digital SAT Problems and Solutions (Part - 33)

Digital SAT Problems and Solutions (Part - 34)

Digital SAT Problems and Solutions (Part - 35)

Digital SAT Problems and Solutions (Part - 36)

Digital SAT Problems and Solutions (Part - 37)

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Digital SAT Problems and Solutions (Part - 40)

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Digital SAT Problems and Solutions (Part - 100)

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Digital SAT Problems and Solutions (Part - 233)

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Digital SAT Problems and Solutions (Part - 249)

Digital SAT Problems and Solutions (Part - 250)

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