Geometry
Point x is located at -15 on the real number line. If point Y is located at -11, what is the midpoint of line segmnt XY?
Lucy is studying her ant farm. She needs to approximate the # of ants in the population. She has N ants. It's close to 50 more than double the volume of the ant farm, V. Which formula expresses the situation?
A] N= 1/2V + 50
B] N= 1/2(V+50)
C] N= 2(V+50)
D] N=V2+50
C] N=2v+50
Lisa has 5 fiction books and 7 nonfiction books. As she rushes out the door one day, she takes a book at random. What is the probability that the book she takes is fiction?
F] 1/5
G] 5/7
H] 1/12
J] 5/12
K] 7/12
J] 5/12
Gregor works as a political intern and receives a monthly paycheck. He spends 20% of his paycheck on rent and reposts the remainder into a savings account. If his deposit is $3,200 , how much was his monthly pay?
A] 4,000
B] 5,760
C] 7,200
D] 8,000
A] 4,000
Which of the following is equivalent to (y3)8 ?
F] y11
G] y24
H] 8y3
J] 8y11
G] y24
Given triangle CDE, with a right angle at point E, a hypotenuse of 10 and a base of 8, what is the length of the height?
6
A restaurant has 4 napkins at each table, plus 20 extra napkins held in reserve. If the restaurant has a total of 100 napkins, how many tables are in the restaurant?
F] 15
G] 20
H] 25
J] 30
K] 35
H] 25
In the spring semester of Katie's math class, her test scores were 108,81,79,99,85, and 82. What is the average test score for her semester?
89
A size 8 dress that usually sells for $60 is on sale for 30% off. Victoria has a store credit card that gives her an additional 10% off the reduced price of any item in the store. Excluding the sales tax, what is the price Victoria pays for this dress?
A] $22.20
B] $37.80
C] $36
D] $24.75
B] $37.80
For all real values of y, 3-2(4-y) , what does y= ?
y= 5/2
A rectangular rug has an area of 80 square feet, and a width that is 2 feet shorter than the length. What is the length of the rug?
F] 8
G] 10
H] 16
J]18
K] 36
G] 10
From the integers from 123 to 132, which digit is the tens greater than the ones digit?
A] 2
B] 3
C] 4
D] 9
E] 10
B] 3
What is the expanded form of (3a+2b)(a-b2) ?
3a2-3ab2+2ab-2b3
In a geometric sequence, the quotient of any two consecutive terms is the same. If the third term of a geometric sequence is 8 and the 4th term is 16, which is the second term?
A] -8
B] -4
C] 2
D] 4
D] 4
What is the value of 2x+4/3x when x = 1/6 ?
26/3
The equation of a circle in the standard (x,y) coordinate plane is give by this equation: (x+5)2+(y-5)2=5. What is the center of the circle?
A] (-5,5)
B] (5,-5)
C] (5,5)
A] (-5,5)
The number of points Julie scores in a basketball game is proportional to the amount of time she practiced that week. Last week, she scored 20 points after practicing for 12 hours. How many hours should Julie practice this week if she wants to score 35 points?
F] 7
G] 14
H] 16
J] 20
K] 21
K] 21
If you drive 60 miles at 90 miles per hour, how many minutes will the trip take you?
F] 15
G] 30
H] 40
J] 60
H] 40
Lauren's world history teacher needs to select one of his 19 students to lead the class in song. Lauren's teacher decides that the song leader, who will be chosen at random, CANNOT be any of the 4 seniors in the class. What is the probability that Lauren, who isn't a senior, will be chosen?
A] 0
B] 1/19
C] 1/15
D] 4/19
C] 1/15
If ax/ay = a5 , for a does not equal 0, which of the following statements must be true?
F] x does not = 0, y does not = 0
G] x+y=5
H] x-y=5
J] xy=5
K] x/y=5
H] x-y=5
Amber decides to graph her office and the nearest coffee shop in the (x,y) plane. If her office is at (-1,-5) and the coffee shop at (3,3) , what are the coordinates of the point exactly halfway between her office and the coffee place? Assume Amber walks in a straight line.
F] (1,-1)
G] (1,4)
H] (2,-1)
J] (2,4)
F] (1,-1)
Beatrice is an interior designer and found the area and perimeter of a drawing she made of a beach scene. She found that the area was 144 square inches and the perimeter of 80 inches. When she got to the craft store, she forgot the dimensions. What are the dimensions of Beatrice's drawing?
F] 4 by 36
G] 6 by 24
H] 12 by 12
J] 9 by 16
F] 4 by 36
Danielle's living room is a rectangle with dimensions of 16 feet by 18 feet. If she partially covers the bare floor with a circular rug with 12 feet of diameter, what is the approximate area of the bare floor that remains exposed?
F] 113
G] 144
H] 175
J] 288
H] 175
A] $1,440
B] $520
C] 1,300
D] 1,040
A] $1,440
In the equation a= 3/b, b is a positive, real number. As the value of b is increased so it becomes closer and closer to infinity, what happens to the value of a?
A] It remains constant
B] It gets closer to 0.
C] It gets closer to 1.
D] It gets closer to 3.
E] It gets closer to infinity.
B] It gets closer to 0.