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WorksheetsA1 Bell Work # 99
Total questions: 10
Worksheet time: 30mins
An algebraic expression involving rational exponents is shown below. Which of the following represents the simplified expression?
8a3b6c5
Ross is working on a project for art class using a computer graphics program. Ross wants to create a rectangular framework for the final graphic. The area to be enclosed by the framework is represented by the expression 5x2 + 8x – 4. What expressions can be used to represent the length and width of the rectangular framework?
(x – 2) and (5x + 2)
(x + 4) and (5x – 1)
(x + 2) and (5x – 2)
(x + 1) and (5x – 4)
Tobias is creating a mural for a project in art. Part of mural includes a sequence of pillars that decrease in height. The first pillar is 243 centimeters. Each subsequent pillar decreases by a factor of 2/3 . Which graph represents the height of each pillar in terms of its position in the sequence of pillars?
The number of milligrams of an antibiotic in a person’s bloodstream, A(h), is dependent on the number of hours elapsed since taking the antibiotic, h. George took a 50-milligram dose of the antibiotic. One hour after taking the medicine he had 25 milligrams of the antibiotic in his bloodstream. Two hours after taking the medicine he had 12.5 milligrams of the antibiotic in his bloodstream. Which function can be used to find the number of milligrams of antibiotic in George’s bloodstream after h hours?
A(h) = 25(0.5)h
A(h) = 0.5h + 50
A(h) = 50(0.5)h
A(h) = 50h2 + 25h + 12.5
What are the solutions to –18 = –2(x + 4)2?
x = –10 and x = 2
No real solutions
x = –1 and x = –7
Which statement about the relationship between the graph of the quadratic parent function,f(x) = x2 , and the function, g(x) = 0.5x2 , is true?
The graph of g(x) is narrower than the graph of f(x).
The graph of g(x) is wider than the graph of f(x).
The graph of g(x) is 0.5 units below the graph of f(x).
The graph of g(x) is 0.5 units above the graph of f(x).
The graph of the quadratic function below represents the profit for Rick's Running Shoe Company. How many shoes should Rick's Running Shoe Company produce in order to have a maximum profit?
5,000
15,000
20,000
25,000
A quadratic function is shown on the graph below.
What are the domain and range for the quadratic function shown on the graph?
Domain: x ≤ 2
Range: y ≥ –2.5
Domain: x < 2
Range: y > –2.5
Domain: x ≥ –2.5
Range: y ≤ 2
Domain: –7 ≤ x ≤ 2
Range: –2.5 ≤ y ≤ 5
Vanessa wants to purchase a new cell phone plan. The two plans from which she can choose are shown below.
Vanessa used the system of equations shown below to determine how many minutes she can talk on both plans for the monthly costs to be equal.
CA = 22 + 0.13m
CB = 44 + 0.09(m –100)
When Vanessa has used the phone for 775 minutes, the cost for Plan A and the cost for Plan B will both be $122.75.
When Vanessa has used the phone for 325 minutes, the cost for Plan A and the cost for Plan B will both be $64.25.
When Vanessa has used the phone for 32.5 minutes, the cost for Plan A and the cost for Plan B will both be $26.23.
When Vanessa has used the phone for 764 minutes, the cost for Plan A and the cost for Plan B will both be $121.32.
What is the solution to –0.2(14 – 6x) = –7x – (–3 – 9x)?
x = -7.25
x = -1.8125
