PLATO / Edmentum End of Semester Test : Algebra 2B

Ms. Walker's class set up an online fund with a goal to raise $1,280 to go on a field trip. Ms. Walker starts the fund by depositing $5. Each week the balance of the fund is twice the balance of the previous week. Which equation can be used to find the number of weeks, x, after which the balance of the fund will reach $1,280, and how many weeks will it take to reach the class goal?

5(2)^x=1,280;x=5

What is this expression in simplest form?

7w^2-18w/w^2-5w+6

The amount of force, F, needed to lift an object using a lever varies inversely as the length, l, of the lever. When a 24-inch lever is used, a force of 240 pounds is needed. How much force is needed if a 36-inch long lever is used?

160 pounds

What is the range of function g if g(x)=-2f(x)+1

(-infinity, 1)

What is the solution set of y=x^2+2x+7 and y=x+7?

(0,7) and (-1,6)

What is the approximate value for the solution to the equation f(x) = g(x)?

WRONG, NOT 5/8

Consider the function f(x)=x^2-3x/x^2-9. Which graph is the graph of function f?

WRONG, NOT the graph with the open point in the left corner at (-3,2)

The parent function f(x)=3^sqrt x is transformed to g(x) = -2f(x). Which is the graph of g?

WRONG, NOT the one with the green line

To keep producing a specific shirt style, a clothing company must make a profit of at least $5,000 on the style. This system of inequalities models the potential profit from the sales of the shirt style and the profit constraints, where p represents the profit and x is the shirt price.

meets, meets

Ronald is buying a rectangular chest to store his carpentry tools.

multiply, 40

Use the given functions represented by the equation and the graph to complete the statements.

positive infinity, negative infinity, less than

Max used these steps to find the inverse of function f.

step 5, used division instead of multiplication

Each student ticket for an art museum costs $12.50. The total cost for student tickets, t, varies directly as the number of tickets, s, purchased. Write an equation that models the proportional relationship between t and s.

t=12.5s

It would take Charlene and Gina 18 minutes to organize Charlene's comic book collection if they work together. If Gina works alone, it would take her 15 minutes longer than it would take Charlene working alone.When x represents the number of minutes it takes Charlene to organize the comic book collection working alone, the situation is represented by this equation: Which value is a solution of the rational equation that must be discarded because of the context?

x=-9

Which function displays this end behavior? As x approaches negative infinity, y approaches positive infinity. As x approaches positive infinity, y approaches negative infinity.

y=-2x^3-1

Maggie is training for a bicycle trip across her home state. She recorded the approximate number of miles she biked during 10 days of training. The graph shows the data that she recorded as a function of the distance biked over time.

y=10/3x+8

Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When c is the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the current).

16c/25-c^2

Sam purchased a new car for $17,930. The value of the car depreciated by 19% per year. When he trades the car in after x years, the car is worth no more than $1,900. Fill in the values of a, b, and c to complete the exponential inequality of the form a(b)x ≤ c that can be used to determine the number of years after which the car is worth no more than $1,900.

17930(0.81)^x(less than or equal to sign) 1900

A company's monthly profit, y, in relation to the number of salespeople employed, x, is shown on the graph. Based on the quadratic model, approximately what number of salespeople maximizes the company's profits?

37

Which statements are true about function g?

As x approaches positive infinity, g(x) approaches positive infinity. Function g is continuous. As x approaches negative infinity, g(x) approaches positive infinity.

Which statement correctly describes the graph of g(x) = f(x − 9)?

Function g has the same horizontal asymptote as f and a vertical asymptote at x = 6.

The quadratic equation of the system is graphed below. Graph the linear equation on the coordinate plane and use the Mark Feature tool to place a point at each solution of the system.

I haven't the slightest clue. bro thinks Im Einstein

Leo is looking at two different savings plans. The first plan requires an initial deposit of $500 and grows at an annual interest rate of 2.5%. The second plan requires an initial deposit of $400 and interest grows continuously at a rate of 2% per year. Leo wrote a system of equations to represent the account balance of either plan, y, after x years. Which two equations are part of the system?

PARTIALLY WRONG, y=400e^0.02x was right, y=500e^0.025x was wrong

Plot function h on the graph.

Place points at (-9,-6), (-3,1), and (3,4). Make open points at (-4,-6), (2,1), and (8,4). Connect them to where they make three horizontal lines. (AKA Connect (-9,-6) and (-4,-6), (-3,1) and (2,1), and (3,4) and (8,4))

Which statement describes the solutions of this equation?

The equation has two valid solutions and no extraneous solutions.

Jane planted a marigold sapling in her garden and recorded its growth every week. The plant's height, in inches, is modeled by the function , where x is the number of weeks since Jane planted the sapling.

The function is increasing, but the average rate of change is decreasing.

Natalie buys a new car. At the end of the first month, the odometer on the car reads 800 miles. From past experience, she expects to drive 900 miles per month. Select all the functions that can be used to find the number of miles, f(n), recorded on the odometer after n months.

f(1)=800, f(n)=f(n-1)+900 for n greater than or equal to 2 f(n)=900n-100

Determine the explicit form of the function that describes the sequence below. 16, 24, 36, 54...

f(n)=16(3/2)^(n-1)

Which function is the inverse of f(x)= sqrt x-2 / 6

f^-1(x)=36x^2+2 for x greater than or equal to 0

If function f is the parent exponential function f(x)=e^x, what is the equation of transformed function g in terms of function f? Replace the value of a to complete the equation.

g(x)=3f(x)

If no denominator equals zero, which expression is equivalent to

x-1/2(x-4)

Which expression is equal to f(x) x g(x)?

x-2/x+6

What is the simplest form of the expression representing this product?

x-2/x+9

Using a table of values, what is the approximate solution to the equation f(x) = g(x) to the nearest quarter of a unit?

x=-2.25