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WorksheetsPrecalc Review #1
Total questions: 24
Worksheet time: 6hrs 0mins
Name
Class
Date
1.
Is this division problem worked correctly?
a)
This is correct!
b)
This is incorrect!
2.
If you were dividing x6 + 4x3 + 2, how many 0's would you need when setting up the top row of your synthetic division?
a)
0
b)
2
c)
4
d)
6
3.
Which would be better to use here?
a)
Long division
b)
Synthetic division
4.
When doing Synthetic Division, what should be the order of the polynomial coefficients if
(3x - 4x3+ 6x4 + 1) / (x + 3)
a)
3 0 -4 6 1
b)
6 -4 3 1 0
c)
6 -4 0 3 1
d)
-6 4 0 -3 -1
5.
For synthetic division, what would be the number in the left hand box?
a)
0
b)
1
c)
2
d)
3
6.
Divide using synthetic division
(2x³ + 4x² - 5) by (x + 3).
(2x³ + 4x² - 5) by (x + 3).
a)
2x² + 2x - 4 R(-12)
b)
2x² - 2x + 6 R(-23)
c)
2x² - 2x + 8 R(-20)
d)
2x² - 4x + 1 R0
7.
2x3 - 5x2 + 3x + 7 ÷ x - 2
a)
2x3 - x2 + x + 9
b)
2x2 - x + 1
c)
2x2 - x + 1 + 9/x-2
d)
2x2 - 9x - 15 - 23/x-2
8.
Find the Quotient
(2x3 - 5x2 - 3x + 7) / (x - 2)
(2x3 - 5x2 - 3x + 7) / (x - 2)
a)
2x2- 9x +15
b)
2x2 - x - 5
c)
2x2 - 9x - 21
d)
2x2 + x + 5
9.
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
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 your Completing the Square and factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
12.
When completing the square: 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.
When completing the square, what is one of the solutions to this equation?
(2x - 1)2 = 49
a)
7
b)
-7
c)
-4
d)
-3
14.
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}
15.
Solve by completing the square:
k2 − 12k + 23 = 0
k2 − 12k + 23 = 0
a)
{6 + √13, 6 - √13}
b)
{-6 + √13, -6 - √13}
c)
{6 + √59, 6 - √59}
d)
{-6 + √59, -6 - √59}
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
a)
A
b)
B
c)
C
d)
D
19.
Factor
k2+7k+10
k2+7k+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
20.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
21.
factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
22.
Factor Completely:
2k2-14k-60
2k2-14k-60
a)
2(k-10)(k-3)
b)
Not Factorable
c)
(k-5)(k+9)
d)
2(k-10)(k+3)
23.
Solve
a² + 10a + 21 = 0
a² + 10a + 21 = 0
a)
± √21
b)
-3 , -7
c)
3 , 7
d)
28 , -7
24.
Solve
a2 + 2a - 24 = 0
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
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