EOC Review

The sequence below shows the number of trees a nursery plants each year. 2, 8, 14, 20… Which formula could be used to determine the number of trees the nursery will plant next year, NEXT, if the number of trees planted this year, NOW is known? 

•  NEXT = 4 + NOW
• NEXT = 4 ∙ NOW
•  NEXT = 4 ∙ NOW + 2
• NEXT = NOW + 6

Tags

CCSS.HSF.BF.A.2

Write a function to represent the sequence:
 -12, -11.75, -11.5, -11.25…?

• f(n) = 0.25n - 12
• f(n) = -0.25(n - 1) - 12
• f(n) = 0.25n - 12.25
• f(n) = 12(n -1) - 0.25

Given the following table, which of the following choices could be used as the range so that the table represents a linear function?

•  {14, 5, -7, -9}
•  {15, 3, 8, 15}
•  {18, 6, 11, 18}
•  {17, 9, -11, -15}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The equation
 y = 461.19x + 3,492  represents the value of a work of art from 1964 to 2005.  What does the number 461.19 represent? 

•  The value of the work of art in 1964
•  The value of the work of art in 2005
• The yearly decrease in value
• The yearly increase in value  

Tags

CCSS.HSF.LE.B.5

Which point is a part of the solution set of the system of inequalities below? 
y < 2x + 3
y < -2x + 3

• (5, 0)
• (4, 2)
• (6, -2)
• (0, -1)

A region is defined by the system: y > 4x + 2 and y ≤ -3x - 5

In which quadrant of the coordinate plane is the region located?

• I, II, and III only

• II and III only

• III and IV only

• I, II, III, and IV only

A liquid is evaporating. The amount of a liquid remaining, in liters, after x weeks is modeled by the equation y = 100(0.78)^x.  Approximately what percent of the liquid evaporates per week?

• 22%
• 47%
• 53%
• 78%

Which of the following quadratic equations can be solved with the graph shown? 

• x² - x - 6 = 0
• x² - x + 6 = 0
• x² + x - 6 = 0
• x² + x + 6 = 0

 Suppose that the equation
 V = 20x² - 363.2x +2500,  represents the value of a car from 1962 – 2000. What year did the car have the least value?
 (x = 0 in 1962) 

• 1969
• 1971
• 1975
• 1999

A line segment has endpoints A(3, 2) and B(5, 4).  The point K is the midpoint of segment AB.  What is the equation of the line that is perpendicular to segment AB through point K?

• y = -x + 7
• y = x + 7
• y = -x - 7
• y =x - 7

Tags

CCSS.HSG.GPE.B.6