Writing Two-Variable Quadratic Inequalities — Unit test Answers
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21
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Tim throws a stick straight up in the air from the ground. The function h = –16t2 + 48t models the height, h, in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?
A
–16t2 + 48t > 8B
–16t2 + 48t < 8C
–16t2 + 48t ³ 8D
–16t2 + 48t £ 822
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Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?
A
y = 3 (x minus seven-halves) squared minus StartFraction 27 Over 4 EndFraction
B
y = 2 (x minus 1) squared minus 11
C
y = 2 (x minus one-half) squared minus StartFraction 53 Over 4 EndFraction
D
y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
23
Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?
A
Option
B
Option
C
Option
D
Option
24
If the discriminant of a quadratic equation is 4, which statement describes the roots?
A
There are two complex roots.B
There are two real roots.C
There is one real root.D
There is one complex root.25
Which equation represents a graph with a vertex at (1, –6)?
A
y = 3x2 + 6x – 3B
y = 3x2 – 6x – 3C
y = 3x2 – 8x – 1D
y = 3x2 – 3x – 626
Which equation is an example of the commutative property of multiplication?
A
(4 + 2i) = (2i + 4)B
(4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)C
(4 + 2i)(3 – 5i) = (4 + 2i)(3 – 5i)(1)D
(4 + 2i) = (4 + 2i + 0)27
Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?
A
y = negative 6 (x minus 1) squared + 8
B
y = negative 6 (x + one-fourth) squared + thirteen-eighths
C
y = negative 6 (x minus one-fourth) squared + nineteen-eighths
D
y = negative 6 (x minus one-half) squared + seven-halves
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