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].
- 3
- 9
- -6
- 5
3.
Evaluate [math]-b(c-2a)+c/b[/math] if [math]a=-7, b=-3, and c=12[/math].
- -10
- -2
- 2
- 74
- 178
4.
Combine like terms.
[math]4x^2 + 5z + 18x^2[/math]
[math]4x^2 + 5z + 18x^2[/math]
- [math]14x^2 + 5z[/math]
- [math]22x^2 + 5z[/math]
- [math]22x^2 - 5z[/math]
- [math]-18x^2 - 5z[/math]
5.
Simplify:
[math](5x^3)(-2x^4)[/math]
[math](5x^3)(-2x^4)[/math]
- [math]-10x^7[/math]
- [math]10x^7[/math]
- [math]-10x^12[/math]
- [math]10x^12[/math]
6.
Simplify the expression.
9x + 8(6x + 2)
9x + 8(6x + 2)
- 57x + 10
- 57x + 2
- 57x + 16
- 15x + 10
7.
What type of polynomial has two terms?
- monomial
- binomial
- trinomial
- polynomial
8.
Name the polynomial by degree and the number of terms.
[math] 9x^3-10x^5+26[/math]
[math] 9x^3-10x^5+26[/math]
- Quintic Trinomial
- Quintic Monomial
- Quintic Binomial
- 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]
[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]
[math]x/7=8[/math]
- x = 48
- x = 15
- x = 1
- x = 56
11.
What is the solution to [math]-3 = x + 5 ?[/math]
- x = -15
- x = -8
- x = 2
- x = 8
12.
What is the solution to [math]2n-3(4n+5)=-6(n-3)-1[/math]?
- [math]n = -8[/math]
- [math]n=-6[/math]
- [math]n=-1/2[/math]
- [math]n=4[/math]
13.
Which of the following lines is the steepest?
- Line 1: through (4, 5) and (3, 2)
- Line 2: through (6, 4) and (3, 2)
- Line 3: through ( -2, 7) and (6, 6)
- Line 4: through (-1, 3) and (4, 5)
14.
Which line is parallel to [math]y = 3x - 7[/math]?
- [math]y = -3x - 7[/math]
- [math]y = - x/3 + 2[/math]
- [math]y = x/3 + 7[/math]
- [math]y = 3x + 10[/math]
15.
Write the equation of the line in slope-intercept form through the points (4,7) and (-6,7).
- [math]y = 7[/math]
- [math]x = 4[/math]
- [math]y = 7x +4[/math]
- [math]y = -3x +7[/math]
16.
Which point lies on the line defined by [math]3x + 6y = 2[/math]?
- (0, 2)
- (0, 6)
- (1, -1/6)
- (1, -1/3)
17.
Find the slope and y-intercept. 7x + 4y = 16
- m= 4/7 and b = 7/4
- m = -7/4 and b = 4
- m = 7 and b = 4
- m = -7/4 and b = -4
18.
Graph y = 3x - 5.

19.
Tell whether the ordered pair is a solution to the given system.
(-1, 2)
2x + 5y = 8
3x - 2y = 5
(-1, 2)
2x + 5y = 8
3x - 2y = 5
- solution
- not a solution
20.
Solve by elimination.
x - y = 0
3x + y = 8
x - y = 0
3x + y = 8
21.
Find the solution to this system.
[math]2x + y = -10[/math]
[math]3x - y = 0[/math]
[math]2x + y = -10[/math]
[math]3x - y = 0[/math]
- (-2,-6)
- (-2, 6)
- (2, -6)
- (2, 6)
22.
Write in interval notation. [math]-9< x <=4[/math]
- [math][-9,4)[/math]
- [math](-9,4][/math]
- [math][-9,4][/math]
- [math](-9,4)[/math]
- [math]-9,4[/math]
23.
Solve. [math]18+2x<=9x+4[/math]
- [math]x>=7[/math]
- [math]x=7[/math]
- [math]x>=2[/math]
- [math]x=2[/math]
24.
Solve the inequality [math] | x - 2 | - 3 ≥ -2 .[/math]
- [math]x>=1 or x<=3[/math]
- [math]x<=1 or x>=3[/math]
- [math]x<=1 or x>=1[/math]
- None of the above
25.
Graph: [math]x + 3y >=12[/math]

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

27.
When y is written as f(x).
- Function Rule
- Function Notation
- Function Variable
28.
[math]f(x)=2x+5[/math] is equivalent to which of the following functions?
- [math]y=2x+5[/math]
- [math]x=2x+5[/math]
- This is not a function.
- [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?
- {(2,6), (-3,6), (4,9), (2,10)}
- {(-4,4), (-3, 3), (-2,2), (-1,1), (-4, 0)}
- {(3,5), (4, 8), (2, 9)}
- {(8, 0), (5,2), (8,-1), (4,-2)}
32.
{(1,2),(3,4),(5,6),(8,3)} is a function.
- True
- False
33.
[math]|x-5| =-2[/math] has one solution.
- True
- False
34.
Solve for [math]x[/math].
[math]3 | 2x - 3 | = 21[/math]
[math]3 | 2x - 3 | = 21[/math]
- 7, 2
- 21, 7
- 2, -3
- 5, -2
35.
Simplify.
[math](-3x^3)^3[/math]
[math](-3x^3)^3[/math]
- [math]-9x^6[/math]
- [math]-27x^9[/math]
- [math]27x^9[/math]
- [math]-27x^6[/math]
36.
Simplify. Choose the best answer.
[math](32a^4b^2)/(8a^3b^2)[/math]
[math](32a^4b^2)/(8a^3b^2)[/math]
- [math]4ab^0[/math]
- [math]4a[/math]
- [math](4)/(16ab^4)[/math]
- [math]4ab^4[/math]
37.
[math]y=a(x-p)(x-q)[/math] is in which form?
- Standard
- Intercept
- Vertex
- Slope-intercept
38.
What is the vertex of the following function?
[math]y=2(x-4)^2+3[/math]
[math]y=2(x-4)^2+3[/math]
- (4,3)
- (4,-3)
- (8,6)
- (-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]
[math]x^2+10x+25=0[/math]
41.
Multiply:
[math](4x-1)(3x+2)[/math]
[math](4x-1)(3x+2)[/math]
- [math]12x^2+3x-2[/math]
- [math]12x^2-5x+1[/math]
- [math]12x^2+11x+2[/math]
- [math]12x^2+5x-2[/math]
42.
Find the factors.
[math]x^2 - 36[/math]
[math]x^2 - 36[/math]
43.
Find the greatest common factor of [math]6xyz + 12x^2y - 3yz^2[/math].
- [math]3xy[/math]
- [math]6yz[/math]
- [math]3y[/math]
- [math]2x^2y[/math]
44.
Factor the following completely. [math]6m^2+2mn-n^2-3mn[/math]
- [math](3m-n)(n+2m)[/math]
- [math](3n+m)(2m-n)[/math]
- [math](3n+m)(2n-m)[/math]
- [math](3m+n)(2m-n)[/math]
45.
Factor the polynomial [math]5x^2+28x+15[/math] completely.
- [math](5x-3)(x-5)[/math]
- [math](5x+3)(x+5)[/math]
- [math](5x+3)(x-5)[/math]
- [math](5x-3)(x+5)[/math]
46.
Simplify. [math]2sqrt(72)[/math]
- [math]12sqrt(3)[/math]
- [math]6sqrt(2)[/math]
- [math]12sqrt(2)[/math]
- [math]6sqrt(3)[/math]
47.
Simplify the radical expression [math]sqrt(16/100)[/math].
- [math]4/10[/math]
- [math]2/5[/math]
- [math]5/2[/math]
- [math]10/4[/math]
48.
What type of sequence is the following? [math] 8, 5, 2, -1, ... [/math]
- Arithmetic
- Geometric
- 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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