Name ______Date Due: ___,__,____

Common Core Algebra Regents Review #6

Directions:Choose the best answer. Answer ALL questions. Show ALL work in column 2. If there is no mathematical work to be shown, write an explanation or definition to support your answer!

  1. a. On the set of axes, graph the function represented by
and provide a table of values.
b. Graph
c. Describe the Transformation (4 points) /
2. What is the value of x in the equation
+ ?
(1) 4 (3) 8
(2) 6 (4) 11
3.When solving the equation
, Amy wrote:
as her first step.
Which property justifiesAmy’s first step?
(1) addition property of equality
(2) commutative property of addition
(3) multiplication property of equality
(4) distributive property of multiplication over addition
4. If and , What it z - c:
[1]
[2]
[3]
[4]
5.Which order pair is not in the solution set of

1)( 5, 3 ) 2) (4, 3)
3)(3, 4) 4) (4, 4)
6.Which point is on the graph represented by

(1) (-6,12) (3) (2,16)
(2) (-4,4) (4) (3,-6)
7.The value of the x-intercept for the graph of
is
(1) 10 (3) -4/5
(2) 4/5 (4) -8
8. The formula for the area of a trapezoid is
b2).
Express b1 in terms of A, h, and.
9.Evaluate each of the following:

/
10.What is the domain of over the set of real numbers?
  1. {x | x ≤ 4}
  2. {x | x ≥ 4}
  3. {x | x > 4}
  4. {x | x = 4}

11.What is an equation of the line that passes through the points (2, 1) and (6, −5)?
  1. y = −​x − 2
  2. y = −​x + 4
  3. y = −​x − 1​
  4. y = −​x +

12.The graph below shows the average price of gasoline, in dollars, for the years 1997 to 2007.
What is the approximate range of this graph?
  1. 1997 ≤ x ≤ 2007
  2. 1999 ≤ x ≤ 2007
  3. 0.97 ≤ y ≤​ 2.38
  4. 1.27 ≤ y ≤ 2.38
/
13. Which value of x is the solution of the equation
?
  1. 1 2. 2
  2. 6 4. 0

14. A company that manufactures radios first pays a start-up cost, and then spends a certain amount of money to manufacture each radio. If the cost of manufacturing r radios is given by the function c(r) = 5.25r + 125, then the value 5.25 best represents
  1. the start-up cost
  2. the profit earned from the sale of one radio
  3. the amount spent to manufacture each radio
  4. the average number of radios manufactured

15. The graph below shows the variation in the average temperature of Earth’s surface from 1950–2000, according to one source.
During which years did the temperature variation change the most per unit time? Explain how you determined your answer. /
16. Which graph below shows the effect of decreasing the value of c in the functiony = x2 – 2?
  1. 1. 2. 3.4.

Bonus: A satellite television company charges a one-time installation fee and a monthly service charge. The total cost is modeled by the function y = 40 + 90x. Which statement represents the meaning of each part of the function?

  1. y is the total cost, x is the number of months of service, $90 is the installation fee, and $40 is the service charge per month.
  2. y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.
  3. x is the total cost, y is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.
  4. x is the total cost, y is the number of months of service, $90 is the installation fee, and $40 is the service charge per month.

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