My Account
MAT101_SL_V7 | Topic 5: Polynomials and Other Equations
Started on Wednesday, November 27, 2024, 11:34 AM
State Finished
Completed on Wednesday, November 27, 2024, 12:37 PM
Time taken 1 hour 2 mins
Grade 120.00 out of 125.00 (96%)
Question 1 −−−−
Express √−16 in standard form of a complex number.
Correct
5.00 points out
of 5.00
A. 4 + 0i
B. 0 − 4i
C. −4 + 0i
D. 0 + 4i
Question 2
Find the complex conjugate of −2 − 5i .
Correct
5.00 points out A. 2 + 5i
of 5.00
B. −2 + 5i
C. 2 − 5i
D. −2 − 5i
Question 3
Use the discriminant to find the nature of the solutions to the quadratic equation 2x2 − 3x − 7 = 0 .
Correct
5.00 points out A. Two irrational solutions.
of 5.00
B. One rational solution (double solution).
C. Two complex solutions.
D. Two rational solutions.
,Question 4
Determine whether the parabola opens upward or downward.
Correct
f(x) = −x2 + 2x − 1
5.00 points out
of 5.00
A. Opens upward.
B. Opens downward.
Question 5
What is the result of adding (2 + 2i) and (1 − i) ?
Correct
5.00 points out
of 5.00
A. −3 + i
B. 3−i
C. 3+i
D. −3 − i
Question 6
Divide (3 − 2i) by (1 + i) .
Correct
5.00 points out
A. 1 5
of 5.00 + i
2 2
B. 1 5
− + i
2 2
C. 1 5
− − i
2 2
D. 1 5
− i
2 2
Question 7
Simplify i250 .
Correct
5.00 points out
of 5.00
A. −i
B. i
C. 1
D. −1
,Question 8
1 2 9
Correct Solve by using the Quadratic Formula: u − u = 2.
11 11
5.00 points out
of 5.00
A. u = 22, u = 31
B. u = −2, u = 11
C. u = 2, u = −11
D. u=2
Question 9
Evaluate the expression, and write the result as a simplified complex number.
Correct 4 + i 3 − 4i
5.00 points out
+
of 5.00
i 1−i
A. 1 − 4i
B. 9 9
+ i
2 2
C. 9 9
− i
2 2
D. 7 1
− i
2 2
Question 10
Solve the quadratic equation x2 − 3x − 28 = 0 by factoring.
Correct
5.00 points out A. x = 7, x = −4
of 5.00
B. x = 7, x = 4
C. x = −7, x = 4
D. x = −7, x = −4
, Question 11
Find the vertex of the parabola y = 9x2 − 30x + 25 .
Correct
5.00 points out
A. 3 11881
of 5.00 (− , )
20 400
B. 5
( , 0)
3
C. 5
( − , 100)
3
D. 10
( , 25)
3
Question 12
Find the length of the missing side of the right triangle in the below figure.
Correct
5.00 points out
of 5.00
A. 10
B. 2
–
C. 4√3
–
D. 4√5
MAT101_SL_V7 | Topic 5: Polynomials and Other Equations
Started on Wednesday, November 27, 2024, 11:34 AM
State Finished
Completed on Wednesday, November 27, 2024, 12:37 PM
Time taken 1 hour 2 mins
Grade 120.00 out of 125.00 (96%)
Question 1 −−−−
Express √−16 in standard form of a complex number.
Correct
5.00 points out
of 5.00
A. 4 + 0i
B. 0 − 4i
C. −4 + 0i
D. 0 + 4i
Question 2
Find the complex conjugate of −2 − 5i .
Correct
5.00 points out A. 2 + 5i
of 5.00
B. −2 + 5i
C. 2 − 5i
D. −2 − 5i
Question 3
Use the discriminant to find the nature of the solutions to the quadratic equation 2x2 − 3x − 7 = 0 .
Correct
5.00 points out A. Two irrational solutions.
of 5.00
B. One rational solution (double solution).
C. Two complex solutions.
D. Two rational solutions.
,Question 4
Determine whether the parabola opens upward or downward.
Correct
f(x) = −x2 + 2x − 1
5.00 points out
of 5.00
A. Opens upward.
B. Opens downward.
Question 5
What is the result of adding (2 + 2i) and (1 − i) ?
Correct
5.00 points out
of 5.00
A. −3 + i
B. 3−i
C. 3+i
D. −3 − i
Question 6
Divide (3 − 2i) by (1 + i) .
Correct
5.00 points out
A. 1 5
of 5.00 + i
2 2
B. 1 5
− + i
2 2
C. 1 5
− − i
2 2
D. 1 5
− i
2 2
Question 7
Simplify i250 .
Correct
5.00 points out
of 5.00
A. −i
B. i
C. 1
D. −1
,Question 8
1 2 9
Correct Solve by using the Quadratic Formula: u − u = 2.
11 11
5.00 points out
of 5.00
A. u = 22, u = 31
B. u = −2, u = 11
C. u = 2, u = −11
D. u=2
Question 9
Evaluate the expression, and write the result as a simplified complex number.
Correct 4 + i 3 − 4i
5.00 points out
+
of 5.00
i 1−i
A. 1 − 4i
B. 9 9
+ i
2 2
C. 9 9
− i
2 2
D. 7 1
− i
2 2
Question 10
Solve the quadratic equation x2 − 3x − 28 = 0 by factoring.
Correct
5.00 points out A. x = 7, x = −4
of 5.00
B. x = 7, x = 4
C. x = −7, x = 4
D. x = −7, x = −4
, Question 11
Find the vertex of the parabola y = 9x2 − 30x + 25 .
Correct
5.00 points out
A. 3 11881
of 5.00 (− , )
20 400
B. 5
( , 0)
3
C. 5
( − , 100)
3
D. 10
( , 25)
3
Question 12
Find the length of the missing side of the right triangle in the below figure.
Correct
5.00 points out
of 5.00
A. 10
B. 2
–
C. 4√3
–
D. 4√5
