# SAT MATH VIDEOS(Part - 7)

Problems 1-2 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 1 :

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 2 :

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 3 :

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 4 :

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 5 :

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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