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Algebra I Review (Grade 9)

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Algebra I Review

1. 
A letter that represents a value is a                .






2. 
Evaluate [math]y/(2x) - z [/math] for [math]x=2, y=16, and z=1[/math].
  1. 3
  2. 9
  3. -6
  4. 5
3. 
Evaluate [math]-b(c-2a)+c/b[/math] if [math]a=-7, b=-3, and c=12[/math].
  1. -10
  2. -2
  3. 2
  4. 74
  5. 178
4. 
Combine like terms.
[math]4x^2 + 5z + 18x^2[/math]
  1. [math]14x^2 + 5z[/math]
  2. [math]22x^2 + 5z[/math]
  3. [math]22x^2 - 5z[/math]
  4. [math]-18x^2 - 5z[/math]
5. 
Simplify:
[math](5x^3)(-2x^4)[/math]
  1. [math]-10x^7[/math]
  2. [math]10x^7[/math]
  3. [math]-10x^12[/math]
  4. [math]10x^12[/math]
6. 
Simplify the expression.
9x + 8(6x + 2)
  1. 57x + 10
  2. 57x + 2
  3. 57x + 16
  4. 15x + 10
7. 
What type of polynomial has two terms?
  1. monomial
  2. binomial
  3. trinomial
  4. polynomial
8. 
Name the polynomial by degree and the number of terms.
[math] 9x^3-10x^5+26[/math]
  1. Quintic Trinomial
  2. Quintic Monomial
  3. Quintic Binomial
  4. Quintic Polynomial
9. 
Add or subtract as indicated.


[math](x^3y^2+2x^2y^3-5xy-4)+(x^2y^3-4x^3y^2+2xy+2)[/math]






10. 
Solve.
[math]x/7=8[/math]
  1. x = 48
  2. x = 15
  3. x = 1
  4. x = 56
11. 
What is the solution to [math]-3 = x + 5 ?[/math]
  1. x = -15
  2. x = -8
  3. x = 2
  4. x = 8
12. 
What is the solution to [math]2n-3(4n+5)=-6(n-3)-1[/math]?
  1. [math]n = -8[/math]
  2. [math]n=-6[/math]
  3. [math]n=-1/2[/math]
  4. [math]n=4[/math]
13. 
Which of the following lines is the steepest?
  1. Line 1: through (4, 5) and (3, 2)
  2. Line 2: through (6, 4) and (3, 2)
  3. Line 3: through ( -2, 7) and (6, 6)
  4. Line 4: through (-1, 3) and (4, 5)
14. 
Which line is parallel to [math]y = 3x - 7[/math]?
  1. [math]y = -3x - 7[/math]
  2. [math]y = - x/3 + 2[/math]
  3. [math]y = x/3 + 7[/math]
  4. [math]y = 3x + 10[/math]
15. 
Write the equation of the line in slope-intercept form through the points (4,7) and (-6,7).
  1. [math]y = 7[/math]
  2. [math]x = 4[/math]
  3. [math]y = 7x +4[/math]
  4. [math]y = -3x +7[/math]
16. 
Which point lies on the line defined by [math]3x + 6y = 2[/math]?
  1. (0, 2)
  2. (0, 6)
  3. (1, -1/6)
  4. (1, -1/3)
17. 
Find the slope and y-intercept. 7x + 4y = 16
  1. m= 4/7 and b = 7/4
  2. m = -7/4 and b = 4
  3. m = 7 and b = 4
  4. m = -7/4 and b = -4
18. 
Graph y = 3x - 5.
Graph 10x10






19. 
Tell whether the ordered pair is a solution to the given system.

(-1, 2)

2x + 5y = 8
3x - 2y = 5
  1. solution
  2. not a solution
20. 
Solve by elimination.

x - y = 0
3x + y = 8






21. 
Find the solution to this system.

[math]2x + y = -10[/math]
[math]3x - y = 0[/math]
  1. (-2,-6)
  2. (-2, 6)
  3. (2, -6)
  4. (2, 6)
22. 
Write in interval notation. [math]-9< x <=4[/math]
  1. [math][-9,4)[/math]
  2. [math](-9,4][/math]
  3. [math][-9,4][/math]
  4. [math](-9,4)[/math]
  5. [math]-9,4[/math]
23. 
Solve. [math]18+2x<=9x+4[/math]
  1. [math]x>=7[/math]
  2. [math]x=7[/math]
  3. [math]x>=2[/math]
  4. [math]x=2[/math]
24. 
Solve the inequality [math] | x - 2 | - 3 ≥ -2 .[/math]
  1. [math]x>=1 or x<=3[/math]
  2. [math]x<=1 or x>=3[/math]
  3. [math]x<=1 or x>=1[/math]
  4. None of the above
25. 
Graph: [math]x + 3y >=12[/math]
Graph Numbered through 10










26. 
Graph the following system:
[math] y >=x-3 [/math]
[math] y<=3x+7 [/math]
Graph Numbered through 10






27. 
When y is written as f(x).
  1. Function Rule
  2. Function Notation
  3. Function Variable
28. 
[math]f(x)=2x+5[/math] is equivalent to which of the following functions?
  1. [math]y=2x+5[/math]
  2. [math]x=2x+5[/math]
  3. This is not a function.
  4. [math]8=2x+5[/math]
29. 
What x values must be excluded from the domain of [math]f(x)=(-2)/(x+3)[/math]?






30. 
Given that f(x) = -7x + 4, evaluate f(−4).






31. 
Which relation represents a function?
  1. {(2,6), (-3,6), (4,9), (2,10)}
  2. {(-4,4), (-3, 3), (-2,2), (-1,1), (-4, 0)}
  3. {(3,5), (4, 8), (2, 9)}
  4. {(8, 0), (5,2), (8,-1), (4,-2)}
32. 
{(1,2),(3,4),(5,6),(8,3)} is a function.
  1. True
  2. False
33. 
[math]|x-5| =-2[/math] has one solution.
  1. True
  2. False
34. 
Solve for [math]x[/math].
[math]3 | 2x - 3 | = 21[/math]
  1. 7, 2
  2. 21, 7
  3. 2, -3
  4. 5, -2
35. 
Simplify.
[math](-3x^3)^3[/math]
  1. [math]-9x^6[/math]
  2. [math]-27x^9[/math]
  3. [math]27x^9[/math]
  4. [math]-27x^6[/math]
36. 
Simplify. Choose the best answer.
[math](32a^4b^2)/(8a^3b^2)[/math]
  1. [math]4ab^0[/math]
  2. [math]4a[/math]
  3. [math](4)/(16ab^4)[/math]
  4. [math]4ab^4[/math]
37. 
[math]y=a(x-p)(x-q)[/math] is in which form?
  1. Standard
  2. Intercept
  3. Vertex
  4. Slope-intercept
38. 
What is the vertex of the following function?
[math]y=2(x-4)^2+3[/math]
  1. (4,3)
  2. (4,-3)
  3. (8,6)
  4. (-4,3)
39. 
Determine whether the equation has 2 solutions, 1 solution, or no solution. Show your work. [math]- 4x^2 + 9 = 0[/math]






40. 
Solve the equation.

[math]x^2+10x+25=0[/math]






41. 
Multiply:
[math](4x-1)(3x+2)[/math]
  1. [math]12x^2+3x-2[/math]
  2. [math]12x^2-5x+1[/math]
  3. [math]12x^2+11x+2[/math]
  4. [math]12x^2+5x-2[/math]
42. 
Find the factors.
[math]x^2 - 36[/math]






43. 
Find the greatest common factor of [math]6xyz + 12x^2y - 3yz^2[/math].
  1. [math]3xy[/math]
  2. [math]6yz[/math]
  3. [math]3y[/math]
  4. [math]2x^2y[/math]
44. 
Factor the following completely. [math]6m^2+2mn-n^2-3mn[/math]
  1. [math](3m-n)(n+2m)[/math]
  2. [math](3n+m)(2m-n)[/math]
  3. [math](3n+m)(2n-m)[/math]
  4. [math](3m+n)(2m-n)[/math]
45. 
Factor the polynomial [math]5x^2+28x+15[/math] completely.
  1. [math](5x-3)(x-5)[/math]
  2. [math](5x+3)(x+5)[/math]
  3. [math](5x+3)(x-5)[/math]
  4. [math](5x-3)(x+5)[/math]
46. 
Simplify. [math]2sqrt(72)[/math]
  1. [math]12sqrt(3)[/math]
  2. [math]6sqrt(2)[/math]
  3. [math]12sqrt(2)[/math]
  4. [math]6sqrt(3)[/math]
47. 
Simplify the radical expression [math]sqrt(16/100)[/math].
  1. [math]4/10[/math]
  2. [math]2/5[/math]
  3. [math]5/2[/math]
  4. [math]10/4[/math]
48. 
What type of sequence is the following? [math] 8, 5, 2, -1, ... [/math]
  1. Arithmetic
  2. Geometric
  3. Neither
49. 
Find the general term for the arithmetic sequence [math]1/2, 7/2, 13/2, ...[/math]






50. 
Find the 12th term of the geometric sequence [math]3, 6, 12, 24, ...[/math]






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