Math Unit Test

8 September 2022
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25 test answers

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question
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts
answer
m < 49/12
question
What is the absolute value of the complex number -4- sqrt 2i?
answer
3 sqrt 2
question
What is the value of the expression i 0 Γ— i 1 Γ— i 2 Γ— i 3 Γ— i 4?
answer
i
question
The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers?
answer
The complex numbers have opposite real parts.
question
Which equation is y = 9x2 + 9x - 1 rewritten in vertex form?
answer
y=9(x+1/2)^2-13/4
question
Use completing the square to solve for x in the equation (x-12)(x+4)9.
answer
x = 4+- sqrt 73
question
Which phrase best describes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 - 2?
answer
6 units left and 9 units down
question
Which values of x and y would make the following expression represent a real number?
answer
x = 4, y = -5
question
If x2 + mx + m is a perfect-square trinomial, which equation must be true?
answer
x2 + mx + m = (x + 1)2
question
Which equation represents a graph with a vertex at (-3, 2)?
answer
y = 4x2 + 24x + 38
question
Which equation has a graph that lies entirely above the x-axis?
answer
y = (x - 7)2 + 7
question
Which statement about the following equation is true? 2x2 - 9x + 2 = -1
answer
The discriminant is greater than 0, so there are two real roots.
question
Using the quadratic formula to solve 4x2 - 3x + 9 = 2x + 1, what are the values of x?
answer
5 +- 103i
question
Solve for in the equation x 2 - 8x + 41
answer
x = 4 Β± 5i
question
What is the distance from the origin to point P graphed on the complex plane below?
answer
sqrt 29
question
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1 + i) + (21 + 5i)?
answer
(-1 + 21) + (i + 5i)
question
Which equation demonstrates the multiplicative identity property?
answer
(-3+5i)(1)=-3+5i
question
In which quadrant is the number 6 - 8i located on the complex plane?
answer
IV
question
Solve for in the equation x 2 + 12x +36 = 90
answer
x = 6 +- 3 sqrt 10
question
Which statement about the following equation is true?3x2 - 8x + 5 = 5x2
answer
The discriminant is greater than 0, so there are two complex roots.
question
Which complex number is represented by the point graphed on the complex plane below?
answer
3 - 4i
question
If i=sqrt -1 , what is the value of i 3?
answer
-i
question
What is the first step when rewriting y = 3x2 + 9x - 18 in the form y = a(x - h)2 + k?
answer
3 must be factored from 3x2 + 9x
question
What is the square root of -1?
answer
i
question
What is the square root of -16?
answer
4i