Spring 2023
(NC)
K=(1/2)IW2
solve for w
+/- the square root (2K/I) = W
(Calculator)
Joyce deposited $5000 in an account with an annual interest rate of 6%, compounded annually. How much money will be in the account 10 years later.
$8954.24
(Calculator)
Every year Beth doubles the amount of money she donates to charity. She donated $1 to charity at age 10. How much money will she donate at age 20?
$1,024
(NC)
Given that f(x) = 5x-7, what is f-1(x)?
f-1(x) = (1/5)x +7/5
(Calculator)
The volume V of a cylinder with length h and radius r is given V=pi(r2)h. An unsharpened pencil has a length of 17.5 centimeters and a radius of 5 millimeters. What is the Volume in cubic centimeters?
13.74cm3
(Calculator)
x+y+13=0
y=x2+10x+15.
Find the intersection(s).
(-7,-6) (-4,-9)
(NC)
(Square root x-4)= 9
x= 85
(Calculator)
Bailey is twice as old as Cala. Antione is 9 years older than Cala and 3 years older than bailey. How old is Antoine?
A. 6 B. 9 C. 12 D. 15
D. 15 years old
(Calculator)
The first three terms of a numerical sequence are given. 64,32,16… What is the formula that represents the nth term of this sequence?
an=64(1/2)n-1
(NC)
The equation A= 1,750(1+.04)t represents the account balance t years after an account was created. Describe the account balance over time. A. The account balance will decrease .04% each year.
B. The account balance will increase .04%
C. The account balance will decrease 4% each year
D. The account balance will increase 4% each year
D. The account balance will increase 4% each year.
(NC)
The graph of g(x) is the image of f(x)=x2 after the given transformations.
A reflection over the x-axis, A vertical translation of 4 units up, a horizontal translation of 3 units right
Write an equation that represents g(x)
g(x)= -(x-3)2+4
(NC)
Simplifying the expression 642/3. Lillie says 642/3=16. Adam says 642/3=512. Who is correct?
Lillie is correct
What formula can be used to determine the nth term of the arithmetic sequence 15, 27, 39, 51, …?
an=12n +3
(Calculator)
What are the solutions to this equation? 2x2-5x=12
x = (-3/2) x=4
(NC)
The profit a company earns on selling x units is the difference between the cost to produce x units and revenue from selling x units. The expression represents the profit the company will make on x units.
100+30x-x(90-x)
Which part of the expression represents the revenue?
100+30x
(NC)
What equation represents the solution of 3x23t=48
t=(log216/3)
(Calculator)
The population, P, of Johnstown over a period of t years since the town can be estimated by P=5,600e.059t. How many years after the town‘s founding will the population reach 11,200
12 years
(NC)
Given the equation x3= 27, which expressions are equivalent to x? Select all that apply.
A. 9 B. 3 C. 271/3 D. Square root of 27
E. Cube root of 3 F. Cube root of 27
B. 3, C. 271/3, F. Cube root of 27
(NC)
If (x+7) is a factor of h(x), what is the remainder of ( h(x)/(x+7)?
0
(NC)
A TV station executive is planning the new lineup for next season’s shows. On Monday nights, there will be 3 sitcoms and 2 dramas, for a total of 155 minutes of programming, not counting commercials. On Tuesday nights, she scheduled 1 sitcom, for a total of 25 minutes of non-commercial programming. All sitcoms have the same length, and all dramas have the same length. How long is each type of show?
Sitcoms are 25 minutes long, and dramas are 40 minutes long.
(NC)
(4th root 3x)3 rewritten with rational exponents
(3x)3/4
(Calculator)
The value of a motorcycle each year follows the sequence $12,000, $9,600, $7,680, $ 6,144
Write a formula that represents the recursive definition of the sequence where n represents the number of years.
a1=12,000
an= an-1(.8)
(NC)
Which expressions are equivalent to 274/3? Write three different correct answers.
(271/3)4, 81, ( cube root of 27)4
(NC)
The number of hours, t, it takes a boat to travel 15 miles upstream is represented by the given equation. T= 15/r-c,
Write an equation represents the rate of the current, c, in terms of r, the rate of the boat, and t.
c= rt-15/t
(NC)
Two circular paintings are described:
-The diameter of Val’s painting is x inches.
-The diameter of Wyatt’s painting is y inches.
-The area of Wyatt’s painting is 100 square inches greater than the area of Val’s painting.
Which equation represents the relationship between x and y?
1/4πy2=1/4πx2+100