WorksheetsAlgebra 2 Quiz
Total questions: 22
Worksheet time: 1hrs 23mins
Name
Class
Date
1.
Solve this Absolute Value Equation:
∣ 2x + 9 ∣ = 15
a)
x = 3
b)
x = 3
x = -6
c)
x = 3
x = -12
d)
x = 6
x = -12
2.
What is the vertex of this Absolute Value Function?
y = lx + 2l - 1
a)
(-2, -1)
b)
(-2, 1)
c)
(-1, 2)
d)
(-1, 2)
3.
What is the rate of change for the following:
(4,5) (2, 15)
(4,5) (2, 15)
a)
-1/5
b)
1/5
c)
-5
d)
5
4.
You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.
a)
y=15x-25
b)
15x+25y=100
c)
25x+y=15
d)
y=15x+25
5.
Solve for x and y
2x − 3y = −1
y = x − 1
2x − 3y = −1
y = x − 1
a)
(-2,-3)
b)
(0,-1)
c)
(3,4)
d)
(4,3)
6.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?
a)
1s + 3c = 38
2s + 3c = 52
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
3s + 2c = 52
c)
s + c = 38
s + c = 52
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
1s + 2c = 52
7.
You can work a total of no more than 41 hours each week at your two jobs. Housecleaning pays $5 per hour and your sales job pays $8 per hour. You need to earn at least $254 each week to pay your bills. Write a system to represent the situation.
a)
x+y≤254
5x+8y≥41
5x+8y≥41
b)
x+41≤y
5x+8y≥254
5x+8y≥254
c)
x+y≤41
5x+8y≥254
5x+8y≥254
d)
x+y>41
5x+8y<254
5x+8y<254
8.
Complete the square for
x2 + 12x + ____
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
9.
a)
A
b)
B
c)
C
d)
D
10.
Solve the quadratic equation by factoring
a)
-6, -2
b)
-2, 6
c)
2, 6
d)
-6, 2
11.
Solve:
x2 - 49 = 0
x2 - 49 = 0
a)
x = -7, x = 7
b)
x = -7
c)
x = 7
d)
x = -7, x = 1
12.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
13.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
14.
(10+3i) - (2-9i)
a)
20-27i
b)
12-7i
c)
8+12i
d)
20-27i2
15.
Find the vertex. y = x2+ 16x + 71
a)
V(-8, 7)
b)
V(-8, 3)
c)
V(8, 10)
d)
V(16, -2)
16.
Given
f(x)= 2x2 + 5x - 17, find f(-1).
f(x)= 2x2 + 5x - 17, find f(-1).
a)
f(-1) = -20
b)
f(-1) = -24
17.
Find the product:
(2x+3)2
(2x+3)2
a)
2x+3+2x+3
b)
4x2+12x+9
c)
4x2+9
d)
16x2+9
18.
Find the Difference.
(4x3 -3x2 + 6x - 4) - (-2x3 + x2 -2)
a)
4x2 - 6x3 - 2x + 6
b)
3x + 5x2 + 1
c)
6X3 -4X2 + 6X -2
d)
3x + 2
19.
a)
-5x10
b)
4x4 + 18x6
c)
-6x4 + 16x2
d)
4x4 - 9x2
20.
Factor
n2 + 5n - 6
n2 + 5n - 6
a)
(n - 2)(n - 3)
b)
(n - 1)(n + 6)
c)
(n + 1)(n - 6)
d)
(n + 2)(n - 3)
21.
Factor by grouping:
x³+7x²-2x-14
x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
22.
Factor: 27x3 + 8
a)
(3x + 2)(9x2 - 6x + 4)
b)
(9x + 2)(3x2 + 18x + 4)
c)
(3x2+4)(9x + 2)
d)
(27x + 8)(x2 - 216x + 64)
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