Honors Algebra 2 Unit 5 Practice and Review

1. Please find the radius of the circle with this equation: x^2 + y^2 - 10x + 44y = 67.

2. Please find the center of the circle with this equation: x^2 + y^2 - 78x + 28y = 7. (Express your answer as a data point, with parentheses)
A) (39,-14)
B) (-39, 14)
C) (-39, -14)
D) (39, 14)

3. A parabola goes through the points: (-10,383), (-7, 194) and (-1,-22) Find the vertex of this parabola. Express your final answer as a data point, with parentheses.

4. Identify the vertex of: x = 5.2(y + 4)^2 - 11. (Express your answer as a data point, with parentheses)

5. Solve the system of 3 equations: 3x - 11y + 2z = 9 ::::::::::::: 4x + y - 3z = 29 :::::::::::: 2x + 4y - 7z = 31 (Express your answers as a data point, with parentheses)

6. A motorscooter was purchased for $895 and has been depreciating 4.45% each year. It is now 9 years old; how much is it worth?
A) $591.36
B) $604.85
C) $594.15
D) $32.58

7. What is the stretch factor (a-value) of a cubic that has inflection point (7, 19) and also passes through the point (11, 8)? (Express your answer as a reduced fraction)

8. Identify the vertex of: y = 6x^2 + 93x - 7. Use parentheses and full decimals in your answer.

9. Arithmetic sequence. t(8) = 5 and t(104) = -811. Find t(44).

10. Determine the domain of: x = 3(7y - 8)^2 + 13
A) x >13
B) x ≥ 13
C) x E R
D) y ≥ 8/7

11. Please determine the range of: x = 17(3.1y + 3)^2 - 10
A) y > -30/31
B) y ≥ -10
C) y E R
D) y < -30/31

12. Determine the x-intercept of: x = 5(2y - 7)^2 + 313. Express your answer as a data point, with parentheses.

13. If a 3 x 7 matrix is multiplied into a 7 x 11 matrix, the resulting matrix will be:
A) 11 x 3
B) 3 x 11
C) 7 x 7
D) Not possible

14. If a 3 x 4 matrix is squared, the resulting matrix will be:
A) Not possible
B) 3 x 3
C) 4 x 4
D) 3 x 4

15. In a geometric sequence, t(21) = 729 and t(26) = 9375. What is t(30)? Express your answer rounded to 2 decimal places.

Answer Key

1.24  2.A  3.(2,-49)  4.(-11, -4)  5.(5, 0, -3)  6.C  7.-11/64  8.(-7.75,-367.375)  9.-301  10.B  
11.C  12.(558, 0)  13.B  14.A  15.72337.96  

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