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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 $y/(2x) - z$ for $x=2, y=16, and z=1$.
1. 3
2. 9
3. -6
4. 5
3.
Evaluate $-b(c-2a)+c/b$ if $a=-7, b=-3, and c=12$.
1. -10
2. -2
3. 2
4. 74
5. 178
4.
Combine like terms.
$4x^2 + 5z + 18x^2$
1. $14x^2 + 5z$
2. $22x^2 + 5z$
3. $22x^2 - 5z$
4. $-18x^2 - 5z$
5.
Simplify:
$(5x^3)(-2x^4)$
1. $-10x^7$
2. $10x^7$
3. $-10x^12$
4. $10x^12$
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: $9x^3-10x^5+26$
1. Quintic Trinomial
2. Quintic Monomial
3. Quintic Binomial
4. Quintic Polynomial
9.

$(x^3y^2+2x^2y^3-5xy-4)+(x^2y^3-4x^3y^2+2xy+2)$

10.
Solve.
$x/7=8$
1. x = 48
2. x = 15
3. x = 1
4. x = 56
11.
What is the solution to $-3 = x + 5 ?$
1. x = -15
2. x = -8
3. x = 2
4. x = 8
12.
What is the solution to $2n-3(4n+5)=-6(n-3)-1$?
1. $n = -8$
2. $n=-6$
3. $n=-1/2$
4. $n=4$
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 $y = 3x - 7$?
1. $y = -3x - 7$
2. $y = - x/3 + 2$
3. $y = x/3 + 7$
4. $y = 3x + 10$
15.
Write the equation of the line in slope-intercept form through the points (4,7) and (-6,7).
1. $y = 7$
2. $x = 4$
3. $y = 7x +4$
4. $y = -3x +7$
16.
Which point lies on the line defined by $3x + 6y = 2$?
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

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.

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

26.
Graph the following system:
$y >=x-3$
$y<=3x+7$

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

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.
$|x-5| =-2$ has one solution.
1. True
2. False
34.
Solve for $x$.
$3 | 2x - 3 | = 21$
1. 7, 2
2. 21, 7
3. 2, -3
4. 5, -2
35.
Simplify.
$(-3x^3)^3$
1. $-9x^6$
2. $-27x^9$
3. $27x^9$
4. $-27x^6$
36.
Simplify: $(32a^4b^2)/(8a^3b^2).$ Choose the best answer.
1. $4ab^0$
2. $4a$
3. $(4)/(16ab^4)$
4. $4ab^4$
37.
$y=a(x-p)(x-q)$ is in which form?
1. Standard
2. Intercept
3. Vertex
4. Slope-intercept
38.
What is the vertex of the following function?
$y=2(x-4)^2+3$
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. $- 4x^2 + 9 = 0$

40.
Solve the equation.

$x^2+10x+25=0$

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

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

50.
Find the 12th term of the geometric sequence $3, 6, 12, 24, ...$

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