6/7/23, 11:23 AM
Algebra Basic Exam 01: Attempt review
Started on
State
Completed on
Time taken
Tuesday, 6 June 2023, 3:24 PM
Finished
Tuesday, 6 June 2023, 4:15 PM
51 mins
Marks
13.00/15.00
Grade
86.67 out of 100.00
QUESTION 1
Correct
Mark 1.00 out of 1.00
Evaluate (2 − i)9 .
a.
-718 + 1199i

b. 512 - i
c.
-177 – 44i
d. -527 + 336i
The correct answer is: -718 + 1199i


QUESTION 2
Correct
Mark 1.00 out of 1.00
Find the coefficient of the xy term of the product of (4x − 3y)(5x + 2y + 1)
a.
-5
b. -6
c.
-4
d. -7

The correct answer is: -7
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6/7/23, 11:23 AM
Algebra Basic Exam 01: Attempt review
QUESTION 3
Correct
Mark 1.00 out of 1.00
Which of the following is correct?
a.
(a + b)
b.
(a + b)
c.
(a + b)
d.
(a + b)
2
2
2
2
= a
= a
= a
= a
2
2
+ 2a b
2
2
+ b
+ ab + b
2
− b
2
2
2
2
+ 2ab + b
The correct answer is: (a + b)2

2
= a
2
+ 2ab + b
2
QUESTION 4
Incorrect
Mark 0.00 out of 1.00
Simplify
a.
b.
c.
d.
2
x−3
+
.
x
2
2x −6x
6
x–3

3
2x–6
3
x–3
5
2x–6
The correct answer is:
5
2x–6
QUESTION 5
Correct
Mark 1.00 out of 1.00
Solve:
x−2
5
+
x+2
2
a.
x = 2
b.
x = 3
c.
x = −3
d.
x = −2
=
x+4
The correct answer is: x
3

= 2
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6/7/23, 11:23 AM
Algebra Basic Exam 01: Attempt review
QUESTION 6
Incorrect
Mark 0.00 out of 1.00
Simplify: (
14
−30a
17
10a
b
b
8
−2
3
)
a.
-\frac{27a^9}{b^30}}
b.
\frac{27b^{30}}{a^9}}
c.
\frac{27a^9}{b^30}}
d.
-\frac{-27b^{30}}{a^9}}

The correct answer is: -\frac{-27b^{30}}{a^9}}
QUESTION 7
Correct
Mark 1.00 out of 1.00
Find the value of x in (3^5)(9^6) = 3^(2x)
a.
9
b. 9.5
c.
8.5

d. 8
The correct answer is: 8.5
QUESTION 8
Correct
Mark 1.00 out of 1.00
Solve for x:
3/x + 2/y = 14;
5/x – 3/y = -2.
a.
1/4
b. 1/2
c.

1/3
d. 3/4
The correct answer is: 1/2
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6/7/23, 11:23 AM
Algebra Basic Exam 01: Attempt review
QUESTION 9
Correct
Mark 1.00 out of 1.00
Find the remainder when 2x3 – 5x2
a.
+ 7x– 7
is divided by x – 2.
2
b. -2
c.
-3

d. 3
The correct answer is: 3
QUESTION 10
Correct
Mark 1.00 out of 1.00
The polynomial x3
a.
2
+ x
− 2ax + a
has remainder 8 when divided by x– 2. Determine the value of a .
2
1

b. 2
c.
-2
d. -1
The correct answer is: 2
QUESTION 11
Correct
Mark 1.00 out of 1.00
The quotient of x5
a.
4
x
b.
x
c.
x
d.
x
3
4
4
3
+ 2x
2
+ 2x
3
− x
by x + 2 is:
+ 32
2
+ x
+ 16x + 8
− 8x + 4
+ 8
3
− 2x
2
+ 4x
The correct answer is: x4

− 8x + 16
3
− 2x
2
+ 4x
− 8x + 16
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6/7/23, 11:23 AM
Algebra Basic Exam 01: Attempt review
QUESTION 12
Correct
Mark 1.00 out of 1.00
If F (x, y)
a.
3
= x – 2xy + 3y
2
find F(2, -3).
11
b. 23
c.
5

d. 47
The correct answer is: 47
QUESTION 13
Correct
Mark 1.00 out of 1.00
Determine the value of x in the given proportion. (x + 3)
a.
: 10 = (3x– 2) : 8
1
b. 3
c.
4

d. 2
The correct answer is: 2
QUESTION 14
Correct
Mark 1.00 out of 1.00
Solve for x in the given equation: y
a.
=
k
−cx
1+be
. where: y = 52; k = 105; b = 34 and c = 1.1244
4.119
b. 2.119
c.
1.119
d. 3.119

The correct answer is: 3.119
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6/7/23, 11:23 AM
Algebra Basic Exam 01: Attempt review
QUESTION 15
Correct
Mark 1.00 out of 1.00
Solve the system of equations 2x + 5y + 4z
a.
,
= 4 x + 4y + 3z = 1
(3, -2, 2)
, and x– 3y– 2z
.
= 5

b. (3, 2, -2)
c.
(-3, 2, -2)
d. (-3, -2, 2)
The correct answer is: (3, -2, 2)
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