No calculator
Which expression is equivalent to cube root 343?
A) 343-3
B) 72
C) square root 49
D) 144 1/3
C) square root 49
m=1/K +N
Solve for K
K=1/(m-n)
Paul Is twice as old as his son, Same. In 20 years, Paul will be twice as old as Sam. How old are they now?
Sam is 10 years old
Paul is 40 years old
A ball is thrown in the air has a height of h(t)= -16t2+50t+3. Find the average rate of change of h between t=0 and t=2.
18 Feet per second
The faces of a fair number cube are labeled 1 through 6. The number cube is rolled once.
- A possible outcome is the event that the number 1 is rolled.
- Another possible outcome is the event that an even number is rolled.
How many outcomes are not in either of these events?
a) 0
b) 1
c) 2
d) 4
c) 2
What is a formula that can be used to determine the nth term of the arithmetic sequence 15,27,39,51,…?
a) 3n + 12
b) 12n + 3
c) 12n + 15
d) 15n + 12
b) 12n + 3
The formula for rotational kinetic energy is given: K=1/2Iw2
Write an equation that represents the angular velocity, w, in terms of K and I?
W= +- Square root 2k/I
Nicole is 26 years old. Emma is 2 years old. In how many years will Nicole be triple Emma’s age?
10
Suppose an object is thrown upward with initial velocity of 48 feet per second from a height of 120 feet. The height of the object t seconds after after it is thrown is given by h(t)=-16t2+48t+120
Find the average velocity from t=2 to t=4
-48 feet per second
The probability that Kojo and Ava will pass an exam are 3/4 and 3/5 respectively. Find the probability that: 1) Both will fail the exam
2) Only Ava will pass the exam
1) 1/10
2) 3/10
If (x-2) is a factor of F(x)= 2x3-4x2-x+2, what is the value of f(2)?
P=2L+2W
Solve for L
L=(P-2W)/2
Riley is twice as old as Jackson. Baylee is 9 years older than Jackson and 3 years older than Riley. How old is Jackson?
Suppose the total cost in dollars to produce x items is given by the function c(x)=0.0003x3+0.14x2+12x+1400
Find the average rate of change of the total cost when the number of items produced increases from 200 to 500 items.
227
How many Different ways can 8 players finish a race if there are no ties?
40,320 ways
F(x)= -1/4x2+6
G(x)= x3+3x2-1
What is (f-g)(x)?
(f-g)(x)= -x3-13/4x2+7
(1-d)/d = a/b
Solve for d
d=b/(a=b)
Ten years ago, Peter was one-third of his current age. How old is he now?
Peter is currently 15 years old
Jenifer drove her truck. The fuel remaining in the truck‘s tank ( in liters ) as a function of distance ( in kilometers ) is listed: (100, 375), (200,275), (400,125), (500,75).
What is the approximate average fuel consumption rate, between the 100th kilometer and the 400th kilometer?
5/6 liters per kilometer
Katie has 6 nickels and 7 dimes in her pocket. 5 of the nickels and 1 of the dimes are Canadian. The others are from the US. Suppose Katie randomly selects a coin from her pocket. What is the probability that it is a dime or is from the US?
7/13 or 53.8%
What are the solutions to the equation (x2-16)(x-5)=0 ?
x= -4,4,5
The square root (10x-15)=x+1
x=4
Carolyn’s age is triple her daughter‘s age. In eight years, the sum of their ages will be 72. How old are they now?
Her daughter is 14
Carolyn is 42
Suppose an Object is thrown upward, and its height in feet t seconds after being thrown is given by the function h(t) = -16t2+48t+60. Find the average velocity in the two seconds after the object is thrown.
16 feet per second over the first two seconds
1) a prime number
2) multiple of 3
3) Divisible by 5
1) 2/5
2) 1/3
3) 1/5