WorksheetsMath 2 Midterm Review
Total questions: 80
Worksheet time: 6hrs 50mins
Name
Class
Date
1.
Match the equation to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
2.
What is the RANGE?
a)
-∞<x<∞
b)
0<x<∞
c)
-∞<x<0
d)
-∞<x<∞
3.
In simplest radical form,
√80 is equivalent to
√80 is equivalent to
a)
16√5
b)
2√20
c)
4√5
d)
8√5
4.
Simplify: √48
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
5.
Simplify
a)
5i
b)
-5i
c)
±5i
d)
±
6.
Simplify
a)
± 2i √10
b)
± 2 √10
c)
± 4i √10
d)
± 4 √10
7.
a)
A
b)
B
c)
C
d)
D
8.
Does the quadratic have a max/min vertex, and does the parabola open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
9.
Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t2 + 140t + 2
b. What was the starting height of the ball? (include units)
b. What was the starting height of the ball? (include units)
a)
-16 feet
b)
140 feet
c)
2 feet
d)
0 feet
10.
Factor
5x2-28x+32
5x2-28x+32
a)
(3x-10)(x+6)
b)
(x-8)(5x-4)
c)
(5x-8)(x-4)
d)
(5x-8)(x+7)
11.
(x2/3)4
a)
x8/3
b)
x8/12
c)
x8
d)
x3
12.
∜m3 is the same as which answer?
a)
m3/4
b)
m12
c)
m4/3
d)
m7
13.
Evaluate 45/2
a)
32
b)
16
c)
8
d)
2
14.
a-3
a)
a
b)
1 / a3
c)
1/a-3
d)
a3
15.
Multiply:
(3a + 4)2
(3a + 4)2
a)
6a2+12a+16
b)
9a2+24a+16
c)
9a2+12a+16
d)
9a2+16
16.
Factor:
x2 + 5x - 24
x2 + 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x + 6)(x - 4)
d)
(x + 12)(x - 2)
17.
Factor:
x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 12)(x + 2)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
18.
Factor:
x2 - 10x + 24
x2 - 10x + 24
a)
(x - 6)(x - 4)
b)
(x + 6)(x + 4)
c)
(x - 12)(x + 2)
d)
(x - 8)(x - 3)
19.
Find the zeros of this quadratic.
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
20.
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
21.
What are the roots of the function?
a)
{x|x = 4, -1}
b)
(-4, 1)
c)
{x|x = -4, 1}
d)
(4, 0) (-1, 0)
22.
What is the domain of this parabola?
a)
All real #'s
b)
y > 4
c)
y < 4
d)
3 < y < 7
23.
What is the range of this parabola?
a)
All real #'s
b)
y > 4
c)
y < 4
d)
3 < y < 7
24.
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
25.
f(x) = x2 - 4
a)
b)
c)
d)
26.
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
27.
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
28.
Complete the Square
x2 + 6x = 5
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
29.
The length of a rectangle is 6 meters more than the width. The area is 72 square meters. Find the length and width.
a)
Length = 6, Width = 12
b)
Length = 18, Width = 4
c)
Length = 12, Width = 6
d)
Length = 4, Width = 6
30.
#9) A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t2 + 256. How many seconds did it take the raft to hit the water?
a)
-4
b)
2
c)
4
d)
8
31.
Ed hits a shot off the tee that has a height modeled by the function f(t) = -16t2 + 112t. How long is the ball in the air?
a)
3.5 seconds
b)
5 seconds
c)
7 seconds
d)
8 seconds
32.
The area of a floor is represented by the expression 2x2 + 2x – 24. If the length of the floor is (2x – 6), what is the width?
a)
(x + 4)
b)
(x - 4)
c)
(2x + 4)
d)
(2x - 4)
33.
The sum of the squares of two consecutive positive numbers is 1105.
Let x be the smaller number.
Which is the correct equation to form?
a)
x + (x+1) = 1105
b)
x + (x+2) = 1105
c)
x2 + (x+1)2 = 1105
d)
x2 + (x+2)2 = 1105
34.
Find the best fitting Quadratic model for the data
a)
-.26x2-17.3x+222.8
b)
-.26x2+22.59x+23.02
c)
2.6x2+22.9x+20.03
d)
2.6x2+2.3x+23.02
35.
√28
a)
7√2
b)
7√4
c)
4√7
d)
2√7
36.
Simplify the radical...
√20a²b⁴
√20a²b⁴
a)
2ab²√5
b)
4ab²√5
c)
5ab²√2
d)
2a²b²√5
37.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
38.
2√5 + 4√5 =
a)
6√10
b)
8√10
c)
8√5
d)
6√5
39.
Simplify
3√2 - 3√18
3√2 - 3√18
a)
-4√8
b)
4√9-6√3
c)
5√12
d)
-6√2
40.
Simplify:
√10 ⋅ √45
√10 ⋅ √45
a)
3√50
b)
8√2
c)
√450
d)
15√2
41.
a)
A
b)
B
c)
C
d)
D
42.
-3√2 - 3√8 - √54 =
a)
3√6 + 9√2
b)
3√6 - 9√2
c)
-9√2 + 3√6
d)
-9√2 - 3√6
43.
Simplify:
a)
A
b)
B
c)
C
d)
D
44.
Solve the square root equation:
a)
A
b)
B
c)
C
d)
D
45.
a)
x = 49
b)
x = 53
c)
x = 45
d)
x = 18
46.
a)
x = 2
b)
x = 4
c)
x = 7
d)
x = 9
47.
a)
x = {7, 6}
b)
x = 7
c)
x = 6
d)
x = -7
48.
a)
y = √(x - 2) + 3
b)
y = √(x + 3) - 2
c)
y = √(x + 2) - 3
d)
y = √(x - 3) + 2
49.
a)
y = - √(x + 1)
b)
y = √(x + 1)
c)
y = - √(x) - 1
d)
y = - √(x) + 1
50.
Which of these equations shifts a radical equation left 3 times?
a)
y = √(x) + 3
b)
y = √(x) - 3
c)
y = √(x + 3)
d)
y = √(x - 3)
51.
Which of these equations shifts a radical equation right 1 time and up 2 times?
a)
y = √(x + 1) - 2
b)
y = √(x - 1) + 2
c)
y = √(x - 2) + 1
d)
y = √(x + 2) - 1
52.
a)
±81
b)
±9
c)
±3
d)
No real solution
53.
If the discriminant is positive, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
54.
Where is the AoS (Axis of Symmetry) for
y = -2x2+4x+2
a)
x = 2
b)
x = 1
c)
x = -1
d)
x = 4
55.
Find the vertex of the quadratic:
y = -2x2 + 4x + 3
y = -2x2 + 4x + 3
a)
(0, 3)
b)
(-1, 5)
c)
(1, 5)
d)
(1, -5)
56.
Question 5
a)
10
b)
5
c)
-10
d)
-5
57.
Which of the following is a difference of two squares?
a)
x2 - 18
b)
4x2 + 36
c)
9x2 - 100
d)
x2 + 4
58.
What are the factors of
25x2 - 81?
25x2 - 81?
a)
(5x - 9)(5x + 9)
b)
(5x - 9)(5x - 9)
c)
(5x + 9)(5x + 9)
d)
Cannot be factored
59.
What is the Axis of Symmetry of the parabola: y=2(x-3)2+4
a)
x = 3
b)
x = 4
c)
x = 2
d)
x = 5
60.
Find the distance between the points (4, 3) and (0, 6).
a)
3
b)
4
c)
5
d)
7
61.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
62.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
63.
If a rectangle is made up from points (-2,-1), (4,-1), (4,-3) & (-2,-3)
What is the perimeter of the rectangle?
What is the perimeter of the rectangle?
a)
12
b)
8
c)
16
d)
15
64.
Find the missing endpoint if one endpoint is at (5, -7) and the midpoint is at (1.5, 1).
a)
(5, 7)
b)
(-2, 9)
c)
(9, -2)
d)
(1.5, -7)
65.
Find the missing endpoint if one endpoint is at (-9, -1) and the midpoint is at (-2, -6).
a)
(5, -11)
b)
(5, -13)
c)
(-5, 11)
d)
(-5, -11)
66.
Find the midpoint of an imaginary diagonal AC of ABCD.
a)
(1, 3)
b)
(5, 4)
c)
(6, 4)
d)
(0, 4)
67.
Which inequality is shown?
a)
y< -x2
b)
y≤ -x2
c)
y> -x2
d)
y≥ -x2
68.
Which inequality is represented by the graph?
a)
y > (x - 3)² - 3
b)
y ≥ (x + 3)² - 3
c)
y > (x + 3)² - 3
d)
y ≥ (x - 3)² - 3
69.
a)
y ≤ (x - 3)² + 3
b)
y < (x + 3)² - 3
c)
y < (x - 3)² - 3
d)
y ≤ (x + 3)² - 3
70.
Which inequality is represented by the graph?
a)
y > -(x - 4)² + 1
b)
y > -(x - 1)² + 4
c)
y < (x - 4)² + 1
d)
y > (x + 4)² + 1
71.
a)
A
b)
B
c)
C
d)
D
72.
a)
9
b)
8
c)
1
d)
7
73.
What transformation occurred to y = x2 to y = (x - 5)2 - 3?
a)
The graph translated right 5 units and down 3 units
b)
The graph translated right 3 units and down 5 units
c)
The graph translated left 5 units and down 3 units
d)
The graph translated left 3 units and up 5 units
74.
Solve by using the quadratic formula.
a)
A
b)
B
c)
C
d)
D
75.
Multiply:
(4 – 3i)(-7 – 2i)
(4 – 3i)(-7 – 2i)
a)
A. -23 + 13i
b)
B. -23 - 29i
c)
C. -34 + 13i
d)
D. -34 - 29i
76.
i79
a)
i
b)
1
c)
-1
d)
-i
77.
Simplify √-45
a)
3i√5
b)
-3i√5
c)
-i√45
d)
45i
78.
Simplify 2√-32
a)
2i√32
b)
4i√2
c)
8i√2
d)
-16i√2
79.
Calculate(Divide, multiply by conjugate):
a)
12/5 − 4/5i
b)
-8/10i − 4/5
c)
-4/5 + 12/5i
d)
12/5 + 4/5i
80.
Calculate(Divide, multiply by conjugate):
a)
-3/4 − 1/4i
b)
3/4 + 1/4i
c)
-3/4 + 1/4i
d)
3/4 − 1/4i
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