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WorksheetsSemester 1- Midterm Review- Algebra 2
Total questions: 79
Worksheet time: 11hrs 19mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
a)
A
b)
B
c)
C
d)
D
4.
a)
A
b)
B
c)
C
d)
D
5.
a)
A
b)
B
c)
C
d)
D
6.
a)
A
b)
B
c)
C
d)
D
7.
a)
A
b)
B
c)
C
d)
D
8.
a)
A
b)
B
c)
C
d)
D
9.
a)
A
b)
B
c)
C
d)
D
10.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
11.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
12.
When do you use the plus or minus symbol?
±
±
a)
After taking the square root of both sides
b)
After adding the square to both sides
c)
After taking half of b
d)
After setting the equation equal to zero
13.
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
n2 - 2n - 3 = 0
a)
{3 and-1}
b)
{4 and -4}
c)
{5 and -3}
d)
{8 and -7}
14.
Complete the square for
x2 + 12x + ____
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
15.
The discriminant is
a)
aX2 + bX + c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
16.
What is the conjugate of -7 + 3i?
a)
-7 - 3i
b)
-7 +3i
c)
7 -3i
d)
7 + 3i
17.
What is the conjugate of -8i?
a)
-8i
b)
8i
18.
What is the standard form for a complex number?
a)
-8i
b)
a + bi
c)
bi + a
d)
-8i + 8
19.
Simplify:
(10+ 15i) - (48 - 30i)
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
20.
Find the sum.
(5-2i) + (-7+8i)
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
21.
Simplify:
(7 + 2i)(9 - 6i)
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i - 12i2
c)
51 - 24i
d)
58 + 60i
22.
Multiply 2i(3-8i)
a)
16-6i1
b)
16+6i
23.
a)
(6 − i) − (2 − 8i)
b)
(6 + i) − (2 + 8i)
c)
(6 + i) + (2 + 8i)
d)
(6 − i) + (2 − 8i)
24.
a)
x2 + 4ix + 4
b)
x2 + 4ix − 4
c)
x2 + 4
d)
x2 − 4
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
Expand
a)
A
b)
B
c)
C
d)
D
31.
Expand
a)
A
b)
B
c)
C
d)
D
32.
Expand
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
A
b)
B
c)
C
d)
D
36.
a)
A
b)
B
c)
C
d)
D
37.
a)
A
b)
B
c)
C
d)
D
38.
a)
A
b)
B
c)
C
d)
D
39.
4x2 + 8x - 7 is classified as a...
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Cubic
40.
The binomial 3x2 - 4 has degree...
a)
1
b)
2
c)
3
d)
4
41.
This polynomial: 3x2 - 4x4 + 7x3 - 1 + 5x ,written in standard form would be
a)
3x2 - 4x4 + 7x3 - 1 + 5x
b)
- 4x4 + 7x3 + 3x2 + 5x - 1
c)
- 1 + 5x + 3x2 + 7x3 - 4x4
d)
7x3+ 5x - 4x4+ 3x2 - 1
42.
The leading coefficient of this polynomial - 4x4 + 7x3 + 3x2 + 5x - 1 is...
a)
-4
b)
-1
c)
4
d)
7
43.
4x2 - 3x + 5 is classified as a...
a)
Cubic Monomial
b)
Cubic Trinomial
c)
Quadratic Trinomial
d)
Quadratic Binomial
44.
What is the degree of this polynomial? 7x - 4x5 + 3x4 - 6x2
a)
1
b)
2
c)
4
d)
5
45.
2x is classified as a...
a)
Constant Monomial
b)
Linear Monomial
c)
Quadratic Monomial
d)
Linear Binomial
46.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
47.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
48.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
49.
Add the polynomials.
(2x + 5y) + (3x - 2y)
(2x + 5y) + (3x - 2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
50.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
51.
Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
52.
-5x6(3x2 - 12x + 30)
a)
-15x8 + 60x7 - 150x6
b)
15x8 - 60x7 - 150x6
c)
8x6 - 17x + 35
d)
-8x6 + 17x - 35x2
53.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
54.
a)
A
b)
B
c)
C
d)
D
55.
a)
A
b)
B
c)
C
d)
D
56.
a)
A
b)
B
c)
C
d)
D
57.
a)
A
b)
B
c)
C
d)
D
58.
Factor to the polynomial to find the solutions:
a)
A
b)
B
c)
C
d)
D
59.
a)
A
b)
B
c)
C
d)
D
60.
a)
A
b)
B
c)
C
d)
D
61.
a)
A
b)
B
c)
C
d)
D
62.
a)
A
b)
B
c)
C
d)
D
63.
a)
A
b)
B
c)
C
d)
D
64.
a)
x = 1, x = 0, x = -2
b)
x = −1, x = 0, x = 1, x = 2
c)
x = −1, x = 1, x = 2
d)
x = −1, x = 2
65.
a)
x = 1, x = 0, x = -2
b)
x = −1, x = 0, x = 2
c)
x = 1, x = -2
d)
x = −1, x = 2
66.
a)
2
b)
1
c)
3
d)
None
67.
a)
2
b)
1
c)
4
d)
None
68.
a)
The function has 5 real roots
b)
The function has 4 complex roots
c)
The function has 3 complex roots
d)
The function has no complex roots
69.
a)
A
b)
B
c)
C
d)
D
70.
a)
A
b)
B
c)
C
d)
D
71.
a)
A
b)
B
c)
C
d)
D
72.
What is row 5 of Pascal's Triangle?
a)
1, 2, 1
b)
1, 3, 3, 1
c)
1, 4, 9, 4, 1
d)
1, 5, 10, 10, 5, 1
73.
a)
A
b)
B
c)
C
d)
D
74.
a)
A
b)
B
c)
C
d)
D
75.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
76.
If the discriminant is zero you will have
a)
no real solutions
b)
two real solutions
c)
1 real solution
d)
1 imaginary solution
77.
If the discriminant is negative, then the solution will be
a)
one real solution
b)
two real solutions
c)
two imaginary solutions
d)
one imaginary solution
78.
What does the discriminant tell us?
a)
The maximum or minimum
b)
The y-intercept
c)
The number and type of solutions
d)
The axis of symmetry
79.
____________
For the function above, is the discriminant positive, negative, or zero?
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
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