In the diagram above, the length of a side of square ABCD is four units. What is the area of the shaded region?
Answer(s): B
The area of a square is equal toS2, where s is the length of a side of the square. The area ofABCDis42= 16 square units. The area of a circle is equal to r2, where r is the radius of the circle. The diameter of the circle is four units. The radius of the circle is two square units. The area ofthe circle is equal to (2)2= 4. The shaded area is equal to one-fourth of the difference between the area of the square and the area of the circle:1/4(16 4)= 4 .
The value of d is increased 50%, then decreased 50%. Compared to its original value, the value of d is now
Answer(s): A
To increased by 50%, multiply d by 1.5:d= 1.5d. To find 50% of 1.5d, multiply 1.5dby 0.5: (1.5d)(0.5) = 0.75d. Compared to its original value, dis now 75% of what it was. The value of dis now 25% smaller.
Which of the following expressions is undefined when x = -2?
Answer(s): E
An expression is undefined when a denominator of the expression is equal to zero. When
If graphed, which of the following pairs of equations would be parallel to each other?
Parallel lines have the same slope. The lines bothhave a slope of , so they are parallel to each other.
if , then when a = 8, b could be equal to
Answer(s): C
Substitute 8 for Rewrite as8/8and add it to4b/8then cross multiply:
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