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)  4B)  2C)  √3D)  √2Solution :

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 – 1Solution :

Problem 4 😡 – 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 twoSolution :

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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