Equations
Polynomials
Exponential Functions
Systems
Linear Equations
100
Solve the formula for the specified variable.
r= (A-P)/(Pt)
100
Factor
x^2 +10x+16
(x+2)(x+8)
100
The exponential function f(x) = 2^x increases as x increases. Do all exponential functions of the form b^x behave this way. Use algebraic reasoning to support your answer.
No . Exponential Functions decrease when 0<b<1.
100
Solve the system of equations by the substitution method.
{(x,+,10y,=,36),(3x,+,5y,=,8):}
(-4,4)
200
Solve the equation for the specified variable.
S = DC - 8
D= (S+8)/C
200
Simplify
(x-2)^2 +6
x^2 -4x + 10
200
Write an exponential function represented by the given table .
y = 9(4^x)
200
Solve the system of equations by the substitution method.
{(y,=,2x,+,1),(3y,-,3x,=,9):}
(2,5)
200
The boiling point of water, (T) (measured in degrees), at altitude (a) (measured in feet) is modeled by T(a) = -0.0018a + 212. In terms of altitude and temperature, what is the meaning of the slope?
The boiling point decreases by 1.8 degrees as the altitude increases by 1,000 feet.
300
Solve the formula for the indicated variable for z.
F= (z-a)/(k)
z=Fk+a
300
The function f(x)= x^2 +3x -10 models the area of a rectangle. Describe the length and width of the rectangle in terms of x.
x+5, x-2
300
Cole buys a car for 10,000 in 2020. His car depreciates at a rate of 4.5% per year. In what year will his car be worth less than $5,000
2036
300
An airplane is preparing to land at an airport. It is 39,900 feet above the ground and is descending at the rate of 3,100 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,600 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be?
7 Minutes & 18200 Feet
300
The function f(x) = 37x + 20 models the total cost for Rachel to be a member at a gym for x months. What can be interpreted from the y- intercept of the function?
The initial value is $20 (membership fee)
400
Find 3 consecutive integers whose sum is 48.
15, 16, 17
400
Factor: 3n² - 15n + 18
3(n - 3)(n - 2)
400
Determine whether the following table represents a linear or an exponential function. Explain why or why not.
Linear. The x values have a common difference and the y-values have a common difference.
400
On a certain hot summer's day, 407 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.00 for adults. The receipts for admission totaled $ 632.00 .How many children and how many adults swam at the public pool that day?
364 Children and 43 Adults
500
4x + 3( x-2) = 5x - 20
x = 7
500
What is the area of the rectangle?
3x^2+12x+9
500
An exponential function of form f(x) = ab^x includes the points (2, 16), (3, 64), and (4, 256). What is the value of b?
4
500
Susan has a collection of 44 nickels and dimes. If the number of nickels is three times the number of dimes, how many nickels and how many dimes does she have?
33 Nickels and 11 Dimes