Algebra 2 Final Exam Review

Questions 16-20

100

Question 17: What are the x and y intercept(s) of f(x)?

D. x-intercepts: -5,1; y-intercept: -1

200

Question 18: What is the vertex of f(x)? It is a maximum or a minimum?

B. (3,-5); minimum 

300

Question 16: What must be done to the graph of f(x)=|x| to obtain the graph of the function g(x)=3/7 |x+4| -10?

C. The graph of f(x) is shifted left 4 units, vertically shrunk by a factor of 3/7, and shifted down 10 units.

400

Question 19: Sketch the parent graph and translate it to obtain a graph of y+4=|x-5|

B.

500

Question 20: Solve (13x-7)²=110

B. 

Questions 21-25

100

Question 25: Solve 9x²+49=0

A. No Real Solution (i)

200

Question 22: Solve x²+10x=39

C. x=3 or -13

300

Question 21: Solve -4x²=5x+9

D. no real solution

400

Question 23: What are the solutions of the equation x²=23+2x?

B.

500

Question 24: Solve 36x=-4x²-50

D.

Questions 26-30

100

Question 28: What does the imaginary number i represent?

C.

200

Question 29: What of the following is equivalent to 

C.

300

Question 30: Which of these expressions is equal to 4-7i?

B. (6+i)-(2+8i)

400

Question 27: When 2x²-20x+49=19 is written in the form (x-p)²=q, what is the value of q?

B. 10

500

Question 26: Which equation shows x²+8x+9=0 after the method of completing the square has been applied?

B. (x+4)²=7

Questions 31-35

100

Question 31: The graph of which equation would be a circle with a center at (0,-3) and a radius of 3?

C. x²+(y+3)²=9

200

Question 32: Write the standard form of the equation of the circle with radius 7 and center at (0,0).

B. x²+y²=49

300

Question 34: Write an equation for a circle with center at (5,-2) and diameter of 8 centimeters.

B. (x-5)²+(y+2)²=16

400

Question 33: Find the center and radius of x²+y²+2x-10y+10=0.

D. center (-1,5); r=4

500

Question 35: Which of the following points could be the vertex of the right angle?

C. (x,k)

Questions 36-40

100

Question 40: Subtract 2xy³-3xy³

C. -xy³

200

Question 37: Which of the following pairs of ordered pairs is the solution to the system of equations below?

C. (-3,8), (2,3)

300

Question 36: Solve the system 

C. (-1,0), (4,40)

400

Question 39: Solve 

C. a=1, b=3, c=-4

500

Question 38: The graph of which equation does not intersect the graph of y=x²-2x-1

C. y=-4x-3