WorksheetsA2 - FINAL
Total questions: 50
Worksheet time: 2hrs 17mins
Name
Class
Date
1.
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
2.
Solve.
3x2 - 12x + 6 = 0
3x2 - 12x + 6 = 0
a)
x = 2 ± √-6
b)
x = 2 ± √6
c)
x = -2 ± √2
d)
x = 2± √2
3.
What is the slope of this line?
a)
1
b)
0
c)
Undefined
d)
-1
4.
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)
5.
Solve the equation.
a)
36
b)
18
c)
-18
d)
27
6.
Solve.
a)
8
b)
-8
c)
0
d)
no solution
7.
Simplify
a)
-4-6i
b)
(-15i+8)/4
c)
(-4+8i)/15
d)
(-4i+8)/15
8.
What equation represents the quadratic function?
a)
y = (x - 8)2
b)
y = (x + 8)2
c)
y = x2 - 8
d)
y = x2 + 8
9.
Is the graph pictured a function?
a)
Yes
b)
No
10.
|−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
11.
Factor:
5x2 + 17x + 6
5x2 + 17x + 6
a)
(5x + 3)(x + 2)
b)
(5x + 2)(x + 3)
c)
(5x + 1)(x + 6)
d)
(5x + 6)(x + 1)
12.
Multiply:
(2x – 9y)2
(2x – 9y)2
a)
4x2 – 81y2
b)
4x2 + 81y2
c)
4x2 – 18xy + 81y2
d)
4x2 – 36xy + 81y2
13.
Solve the system of euqations:
x - 2y = 4
3x +2y = 4
x - 2y = 4
3x +2y = 4
a)
(-2,-1)
b)
(4,-1)
c)
(2,-1)
d)
(4,1)
14.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
15.
Find the x and y intercepts
4x - 5y = 40
4x - 5y = 40
a)
x intercept is (10,0)
y intercept is(0,8)
y intercept is(0,8)
b)
x intercept is (10,0)
y intercept is (0,20)
y intercept is (0,20)
c)
x intercept is (8,0)
y intercept is (0,10)
y intercept is (0,10)
d)
x intercept is (10,0)
y intercept is (0,-8)
y intercept is (0,-8)
16.
What is y= (-3/7)x+5 written in standard form?
a)
3x+7y=35
b)
9x+6y=8
c)
3x-4y=9
d)
It is in standard form
17.
What is the domain of the given function?
a)
[1,4)
b)
(1,4]
c)
(1,7]
d)
[1,7)
18.
Which point below is NOT a part of the solution set?
a)
(0, 0)
b)
(-5,2)
c)
(-100, -3)
d)
(5, 10)
19.
What inequality does the number line graph represent?
a)
-x + 4 ≥ -1
b)
-2x + 3 > -7
c)
-x + 1 < -4
d)
2x + 3 ≥ 13
20.
Write the inequality in interval notation.
a)
(-2,5)
b)
(-∞,-2)⋃(5,∞)
c)
[-2,5]
d)
(-∞,-2]∪[5,∞)
21.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
22.
Does the equation open up or down?
Y = -3x2 +7x - 2
Y = -3x2 +7x - 2
a)
up
b)
down
23.
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)
24.
Write the following in interval notation
x < 8
x < 8
a)
[8, ∞)
b)
(8, -∞)
c)
(-∞, 8]
d)
(-∞, 8)
25.
Simplify the following radical: √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
26.
Can you use the symbols [ or ]
with infinity?
with infinity?
a)
Yes
b)
No
27.
The expression (2 + 3i)2 is equal to
a)
-5
b)
-5+12i
c)
13
d)
13 + 12i
28.
Write the inequality in interval notation.
a)
(-2,5)
b)
(-∞,-2)⋃(5,∞)
c)
[-2,5]
d)
(-∞,-2]∪[5,∞)
29.
Which equation is a quadratic function reflected over the x-axis and shifted up 2.
a)
y = x2 + 2
b)
y = -x2 + 2
c)
y = x2 - 2
d)
y = -(x + 2)2
30.
How many solutions are there if the discriminant is positive.
a)
0
b)
1
c)
2
d)
Infinite
31.
Which of the following equations is a parabola?
a)
y = 2x + 4
b)
y = 2x3 + 4
c)
y = 2x2 + 4
d)
y = 2x
32.
Find f(-5) if f(x) = -2x - 12
a)
-22
b)
-2
c)
-19
d)
-5
33.
Solve and expression the solution in interval notation:
a)
[-2, 1]
b)
(-∞, -2) or (1, ∞)
c)
(-2, 1)
d)
(-∞, -2) and (1, ∞)
34.
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
35.
Look at the Graph. Write the inequality in interval notation.
a)
[-4, -1)
b)
(-4, -1)
c)
(-4, -1]
d)
[-4, -1]
36.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Basketball
c)
Maximum Value
d)
A parabola
37.
Which best describes the height of the football at 2 seconds?
a)
10 feet
b)
22 feet
c)
6 feet
d)
31 feet
38.
Solve:
3(3x+4)<9(x-3)
3(3x+4)<9(x-3)
a)
12<-27
b)
x<-39
c)
x>-39
d)
No Solution
39.
Which graph is NOT a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
40.
y = 6x + 2
y = -6x + 2
These lines are...
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
41.
√45
a)
3√5
b)
5√3
c)
9√5
d)
5√9
42.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
43.
Simplify √-28
a)
-√28
b)
-2i√7
c)
2i√7
d)
28i
44.
Solve:
(x - 2)2 = 25
(x - 2)2 = 25
a)
3, 8
b)
5, -5
c)
7, -3
d)
7
45.
What is the factored form of 4m2-9?
a)
(2m-7)2
b)
(2m+7)2
c)
(2m+3)(2m-3)
d)
(4m+9)(4m-9)
46.
Solve:
-4(v + 1) = 5(v + 1)
-4(v + 1) = 5(v + 1)
a)
4
b)
-1
c)
2
d)
5
47.
Solve for a
a)
a > 24
b)
a >150
c)
a < -23
d)
a > 6
48.
Will be circle be open or closed?
-5x ≤ -25
-5x ≤ -25
a)
Open
b)
Closed
49.
Find the difference.
(7p+4p3-8)-(-3p2+2-9p)
(7p+4p3-8)-(-3p2+2-9p)
a)
-3p2 + 4p3 -15 + 9
b)
3p3 + 4p2 - p + 3
c)
4p3 +3p2 +16p -10
d)
4p3 +3p2 + 16p + 10
50.
The solutions of a quadratic equation are known as the _____.
a)
Vertices
b)
Roots
c)
Squares
d)
Formulas
100 %
