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Algebra II Mid-Year Review (Grade 10)

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Algebra II Mid-Year Review

1. 
The graph of a quadratic function is called a(n)
  1. line.
  2. hyperbola.
  3. cubic.
  4. parabola.
2. 
The vertex of a parabola is
  1. either the maximum or minimum point.
  2. the point where x is zero or y is zero.
  3. the only point where y is known.
  4. line which divides the parabola into equal parts.
3. 
Which of the following is a quadratic function?
  1. [math]f(x)= x^3 + 5x[/math]
  2. [math]f(x)= x-5x[/math]
  3. [math]f(x) = x-9[/math]
  4. [math]f(x) = x^2+3x + 6 [/math]
4. 
Which expression has only one solution?
  1. [math]x^2 - x - 20[/math]
  2. [math]x^2 + 10x + 7[/math]
  3. [math]x^2 - 12x + 36[/math]
  4. [math]x^2 + 13x + 42 [/math]
5. 
Complete the square. (Do not solve for x.)
[math]x^2 + 10x + ? [/math]
  1. no answer available
  2. [math]100[/math]
  3. [math]25/2[/math]
  4. 25
  5. [math]25/4[/math]
6. 
Which of the following relations is NOT a function?
  1. [math]{(0, 1), (1, 0), (2, 1), (3, 1), (4, 2)}[/math]
  2. [math]{(7, 4), (4, 9), (-3, 1), (1, 7), (2, 8)}[/math]
  3. [math]{(1, 4), (3, 2), (5, 2), (1, -8), (6, 7)}[/math]
  4. All of the above are functions.
  5. None of the above are functions.
7. 
What is the range of the function? {(5,1), (6,2), (7,3)}
  1. {1, 2, 3}
  2. {5, 6, 7}
  3. {1, 2, 3, 5, 6, 7}
  4. {1, 7}
8. 
If [math]f(x) = 4x +5[/math], find [math]f(5)[/math].
  1. 5
  2. 10
  3. 20
  4. 25
9. 
Find the x-intercepts of the following function.
[math]f(x) = x^2 +3x - 18[/math]
  1. x = 6, x = -3
  2. x = 6, x = 3
  3. x = -6, x = -3
  4. x = -6, x = 3
10. 
Add:
[math]6sqrt2 + 5sqrt2 + sqrt2[/math]
  1. [math]11sqrt2[/math]
  2. [math]12sqrt2[/math]
  3. [math]11sqrt8[/math]
  4. [math]11sqrt6[/math]
11. 
Simplify. [math](2x)^4/(2x^4)[/math]
  1. [math] 8, \ x!=0 [/math]
  2. [math] 4 [/math]
  3. [math] 2, \ x!=0 [/math]
  4. [math] 1 [/math]
12. 
Simplify:
[math](xy^-6z^-3)/(x^-4y^-5z)[/math]
  1. [math](xz)/(x^4y^11z^3)[/math]
  2. [math](x^4y^4)/(y^6z^3)[/math]
  3. [math]x^5/(yz^4)[/math]
  4. [math](x^3y^5)/(y^3z^2)[/math]
13. 
Solve for x.
[math]x^(4/3) = 81[/math]
  1. 9
  2. 10
  3. 18
  4. 27
14. 
If [math]root3 (x/512) = 2[/math], then [math]x =[/math]



15. 
Write the equation of a line through ( -3 , 6) and perpendicular to [math]y = 3/5 x - 4[/math]



16. 
Multiply and simplify: [math](c - 8)(c + 2)[/math]



17. 
Solve the system:
[math]x - 4y = 16[/math]
[math]x + 2y = 4[/math]





18. 
Solve the system.
[math]x-2y+z=8[/math]
[math]y-z=4[/math]
[math]z=3[/math]



19. 
Evaluate the determinant of [math][[9, 5], [7, 4]][/math].



20. 
Given the following relation state the domain and range.
Is the relation a function? Explain why or why not.

[math]{(2,0), (-3,4), (2,-7), (6,4), (-4,1)}[/math]



21. 
Evaluate [math]f(1) [/math]:


[math] f(x) = 2x^2 + 3 [/math]



22. 
Solve for x:
[math]4x + 6 <= 3x - 5[/math]



23. 
Solve the inequality and graph the solution.
[math]x+7<9[/math]
Graph 10x10



24. 
Graph the following equation:
[math]f(x) = x^2 - 3[/math]
Graph 10x10



25. 
Solve the equation. [math]y=x^2+6x-27[/math]
Factored Form:
Roots:
Y-Intercept:
Axis of Symmetry:
Vertex:
Graph Numbered through 50





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