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WorksheetsSemester 2 Alg Review
Total questions: 60
Worksheet time: 5hrs 45mins
Name
Class
Date
1.
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
2.
Find the sum.
(5x2 -3x + 4) + (6x -3x2 - 3)
(5x2 -3x + 4) + (6x -3x2 - 3)
a)
3x2 + 2x + 1
b)
2x2 + 3x +1
c)
2x2 + 5x - 7
d)
3x2 + 4x5 -7x
3.
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
4.
Simplify the expression:
(3x4 - 4 - 5x2) - (1 - x2 + 2x3)
(3x4 - 4 - 5x2) - (1 - x2 + 2x3)
a)
3x4 - 2x3 - 4x2 - 5
b)
3x4 - 7x3 - 4x2 - 5
c)
3x4 - 7x3 - 4x2 - 4
d)
3x4 - 5x3 - 4x2 - 4
5.
Simplify:
2x ( -2x -3)
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
6.
Find the product:
(x + 5)(x - 4)
(x + 5)(x - 4)
a)
x2 + 9x + 20
b)
x2 + 9x - 20
c)
x2 + 1x - 20
d)
x2 - 1x - 20
7.
Simplify:
(3x - 5) ( 4x2 - 2x - 3)
(3x - 5) ( 4x2 - 2x - 3)
a)
12x3 - 26x2 - 25x + 15
b)
12x3 - 20x2 - 5x + 15
c)
12x3 - 20x2 - 6x + 15
d)
12x3 - 26x2 + x + 15
8.
-5x6(3x2 - 12x + 30)
a)
-15x8 + 60x7 - 150x6
b)
15x8 - 60x7 - 150x6
c)
8x6 - 17x + 35
d)
-8x6 + 17x - 35x2
9.
What id the Degree of the Polynomial?
5x3 - 6x + 1
5x3 - 6x + 1
a)
Linear
b)
Quadratic
c)
Cubic
d)
Quartic
10.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
4x3 - 5x2 + 2x - 1
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
11.
Classify by the DEGREE:
2x2 - 5
2x2 - 5
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
12.
Classify by the DEGREE:
3x - 2
3x - 2
a)
Degree of 1
b)
Degree of 2
c)
Degree of 3
d)
Degree of 4
13.
How many terms are in the expression:
a)
2
b)
3
c)
4
d)
5
e)
6
14.
How many terms are in the expression:
a)
2
b)
3
c)
4
d)
5
e)
6
15.
How many terms are in the expression:
a)
2
b)
3
c)
4
d)
5
e)
6
16.
How many terms are in the expression:
a)
2
b)
3
c)
4
d)
5
e)
6
17.
Factor the Trinomial:
x2 - 8x + 15
x2 - 8x + 15
a)
(x + 5) ( x + 3)
b)
(x - 5) (x - 3)
c)
(x + 15) (x - 1)
d)
(x - 7) (x - 8)
18.
Factor: x2 – 5x – 24
a)
(x - 5)(x + 19)
b)
(x - 8)(x + 3)
c)
(x - 3)(x + 8)
d)
(x - 19)(x + 5)
19.
Factor
x2 + 12x + 36
x2 + 12x + 36
a)
(x + 6)(x +6)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 6)(x - 6)
20.
What is the GCF of the following polynomial?
2x³+4x²-12x?
2x³+4x²-12x?
a)
2
b)
4x
c)
x
d)
2x
21.
What is the GCF of this polynomial?
2x³-8x²+3x
2x³-8x²+3x
a)
2
b)
x²
c)
2x
d)
x
22.
What is the GCF?
6w3 - 14w
6w3 - 14w
a)
6w
b)
4
c)
2w
d)
3w
23.
Factor Completely:
3x2 + 18x +15
3x2 + 18x +15
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
24.
Factor completely
2c2 + 4c - 84
2c2 + 4c - 84
a)
(c-6)(2c+14)
b)
(c+7)(2x-12)
c)
(c-4)(2c+21)
d)
2(c+7)(c-6)
25.
x2 = 100
a)
10
b)
10 or -10
c)
50
d)
50 or -50
26.
x2 -4 = 77
a)
9
b)
-9
c)
No Real Solutions
d)
9, -9
27.
5x2=-15
a)
3, -3
b)
1.7, -1.7
c)
1.5, -1.5
d)
no solution
28.
What are the solutions to this equation? (x-3)(x+2)=0
a)
x=3,-2
b)
x=-3,2
c)
x=2,3
d)
x=3,2
29.
What are the x-intercept(s) for the graph of the function: y = (x - 2)(x + 4)
a)
-2, -4
b)
-2, 4
c)
2, -4
d)
2, 4
30.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
31.
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
32.
What is one of the solutions to this equation?
(2x - 1)2 = 49
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
33.
Solve the following equation by completing the square:
n2 - 2n - 3 = 0
n2 - 2n - 3 = 0
a)
{3, -1}
b)
{4, -4}
c)
{5, -3}
d)
{8, -7}
34.
Complete the square for
x2 - 12x + ____
a)
144
b)
36
c)
- 36
d)
24
35.
Solve the equation by completing the square: 7x2 - 14x - 56 = 0
a)
-6 and 12
b)
-2 and 4
c)
4 only
d)
3∓√10
36.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
37.
How many roots does this parabola have?
a)
3
b)
2
c)
0
d)
1
38.
Is this a max or min?
a)
max
b)
min
39.
Does the quadratic have a max/min vertex, and does the graph open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
40.
If given the equation
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
41.
Which equation has a vertex of (-3, 4)?
a)
y = 2(x+3)2 + 4
b)
y = (x+3)2 - 4
c)
y = (x-3)2 + 4
d)
y = 2(x - 3)2 + 4
42.
Does the parabola
f(x)=4(x-2)2 + 3
open up or down?
f(x)=4(x-2)2 + 3
open up or down?
a)
up
b)
down
43.
What is the equation for this parabola in factored form?
a)
y=(x+2)(x-1)
b)
y=(x-2)(x+1)
c)
y=(x-2)(x-1)
d)
y=(x+2)(x+1)
44.
How many students were greater than or equal to 60 inches tall?
a)
21
b)
11
c)
17
d)
6
45.
How many men had finishing times between 60 and 64 minutes?
a)
9
b)
0
c)
7
d)
5
46.
About 50 % of the data values are greater than what value?
a)
12
b)
15
c)
22
d)
31
47.
True of false, 75% of the data values are greater than 18?
a)
True
b)
False, 75% of the values are greater than 16
c)
False, 50 % of the values are greater than 18
d)
False, 25% of the values are greater than 18
48.
True of false, 75% of the data values are greater than 18?
a)
True
b)
False, 75% of the values are greater than 16
c)
False, 50 % of the values are greater than 18
d)
False, 25% of the values are greater than 18
49.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
50.
Find the vertex of the quadratic function: y = 4x2 + 24x + 5
a)
(−3, −31)
b)
(3, 113)
c)
(−3, −76)
d)
(3, 5)
51.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
52.
Find the vertex of f(x)= -2x2-16x+3.
a)
(4, -93)
b)
(-4, 35)
c)
(-4,99)
d)
(8,3)
53.
What's the y-intercept of y = 3x2- 6x + 4
a)
(4,0)
b)
(-4,0)
c)
(0,-4)
d)
(0,4)
54.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
55.
What percentage of the students have brown hair?
a)
25%
b)
60%
c)
45%
d)
50%
56.
What percentage of males drive sports cars?
a)
35%
b)
16.25%
c)
65%
d)
25%
57.
What percentage of the boys had red hair?
a)
5%
b)
10%
c)
12%
d)
4%
58.
What percentage of the students have brown hair?
a)
25%
b)
60%
c)
45%
d)
50%
59.
Find the product
(x + 7)(x + 9)
(x + 7)(x + 9)
a)
x2 + 63x + 16
b)
x2 + 16x + 63
c)
x2 + 79
d)
x2 + 16x + 2
60.
What is the degree of the polynomial
x2-2x+5
x2-2x+5
a)
1
b)
2
c)
3
d)
0
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