Number & Quantity
Which expression is equivalent to the (cube root of 7)^6?
A. 3^6
B. 3^7
C. 7^(1/2)
D. 7^2
What is D?
Andrea noticed that there were several ways she could use nickels and dimes to add up to 85 cents. Let x=number of nickels and y= the number of dimes. What is the domain where y is a function of x and the total value is 85 cents?
a. {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}
b. {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16}
c. {0,1,3,5,7,9,11,13,15,17}
d. {1,3,5,7,9,11,13,15,17}
What is D?
Today at 10:00AM there is 1 bacteria cell in a petri dish. This type of bacteria doubles every 20 minutes. How many bacteria will be in the dish after 3 hours?
1024
Distance between the two points A(2,6) and B(5,2)
What is 5?
Joe has experienced a slight loss of hearing since he got his new stereo. Which of the following would imply causation between Joe's stereo and hearing loss?
A. high number of hours listening to the stereo
B. high volume level while listening to the stereo
C. type of music listened to
D. brand of stereo
What is B?
The pythagorean theorem is a^2+b^2=c^2, solve for b.
A. b=c^2+a^2-b
B. b=sqrt(c^2-a^2)
C. b=c-a/b
D. b=c-a
What is B
What is the vertex of y=1/2x^2+6x+5
What is (-6,-13)?
The solution to the system: 3x-2y=2 -10x+3y=8?
What is (-2,-4)?
The type of triangle with vertices A(-1,-1), B(2,0) and C(1,3).
Isoceles
Which of the following situations could be expressed linearly?
a. The population of a bacteria culture doubles every hour.
b. During a viral outbreak, every infected person infects three more people.
c. Jessica reads seventy pages a day.
d. David invites three friends to a party and tells them to invite three friends, who, in turn, should invite three friends.
What is C?
Simplify square root of (2^3) x fifth root of (2^8)
What is 2^(31/10)
What is the max height of a rocket launched straight upward that follows the path h=-5t^2+200t.
What is 2000m?
Write y=2(x-2)(x+4) in standard form.
What is y=-2x2-4x+16?
Determine whether correlation and/or causation occurs for the following scenario: Most students tend to have a higher GPA when they spend less time watching TV.
A. There is a negative correlation between GPA and hours spent watching TV; therefore, there is causation.
B. There is positive correlation between GPA and hours spend watching TV; therefore, there is causation.
C. There is a negative correlation between GPA and hours spent watching TV; but there is no causation, since it is not always the case.
D. There is a positive correlation between GPA and hours spent watching TV; but there is no causation, since it is not always the case.
What is C?
Consider the sequence 3,6,11,18,27. Which explicit expression can be used to find the next term in the sequence?
A. 3n+n^2
B. n^2+2
C.n^2+n
D.n^3
What is B?
List all transformations that must be applied to y=x^2 to create the graph of y=-2(x-4)^2+16
What is move right four units, up 16 units, vertical stretch by a factor of 2 and reflect about the x-axis?
What is the factored form of x^2-64
What is (x+8)(x-8)?
Suppose your grandparents give you a $100 check as a graduation gift. You deposit the money into a bank account that earns no interest. Each week you put $5 into the same account. If this were to be written as a function, how would 100 and 5 be represented?
A. 100 would be the y-intercept; 5 would be the slope.
B. 100 would be the slope; 5 would be the y-intercept.
C. 105 would be the y-intercept.
D. 105 would be the slope.
What is A?
Suppose Dorothy drops a ball from a height of 10 feet. After the ball hits the floor, it rebounds 65% of its previous height. Write the formula that would represent the height of the ball after its nth bounce.
A. f(n)=10+0.65^n
B. f(n)=(0.35)^n +10
C. f(n)=10-35^n
D. f(n)=10(0.65)^n
What is D
Explain why (x+y)^2 is not equal to x^2+y^2.
The difference between (x+y)^2 and x^2+y^2 is that (x+y)^2 is the product of two factors: (x+y)(x+y), and x^2+y^2 is the sum of two terms. Therefore, (x+y)^2 equals x^2+2xy+y^2 (or similar)