Algebra I End of Semester One (Units 1-4) Assessment

Which statement about the type of solution is true?

• No real value of x will make the equation true.

• Only one real value of x will make the equation true

• An infinite number of x values will make the equation true.

• None of these.

What are the domain and range of the representative function?

The total cost of attending the State Fair of Texas for one person can be found using the function C(x) = 0.5x + 16, where x is the number of $0.50 coupons used for rides at the fair after paying $16.00 for general admission.

 

What is the domain of the function for this situation?

• All integers greater than or equal to 0

• All integers greater than or equal to 0

• All real numbers

• All integers greater than or equal to 16

The amount of fuel remaining in a gas grill is a function of the number of hours, h, that the grill has been used. This relationship can be modeled using the linear function shown. 

f(h) = 100 − 2h

Part A
Determine a reasonable domain for the situation. Represent the domain using verbal and
symbolic inequality notation. Justify your answer.


 

Part B
Identify the reasonable domain as continuous or discrete.  

 

 

Part C
Determine a reasonable range for the situation. Represent the range using verbal and
symbolic inequality notation. Justify your answer.

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Each month, Arnold receives $1,050 for working part-time at his uncle’s camera store. For each camera that he sells, he earns a $125 bonus. Which equation can be used to find Arnold’s total monthly paycheck, P(x), based on the number of cameras that he sells, x?

• P(x) = 1,050x + 125

• P(x) = 125x + 1,050

• P(x) = x + 1,050

• P(x) = 125x

A student ran a cross country race from school to a local park. The graph shows the student’s distance in miles from the park after running for x minutes. What is the domain of the function for this situation?

• All real numbers less than or equal to 40

• All real numbers less than or equal to 40

• All real numbers less than or equal to 40

• All real numbers less than or equal to 40

A student ran a cross country race from school to a local park. The graph shows the student’s distance in miles from the park after running for x minutes. What is the domain of the function for this situation?

• All real numbers less than or equal to 40

• All real numbers less than or equal to 7

• All real numbers greater than or equal to 0 and less than or equal to 40

• All real numbers greater than or equal to 0 and less than or equal to 7

A function is graphed on the coordinate plane. Which equation is best represented by this graph?