Modeling with Quadratic Equations Answers
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1
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Using the quadratic formula to solve 5x = 6x2 – 3, what are the values of x?
A
StartFraction 5 plus-or-minus 3 StartRoot 11 EndRoot Over 12 EndFraction
B
StartFraction 5 plus-or-minus StartRoot 97 EndRoot Over 12 EndFraction
C
StartFraction 5 plus-or-minus StartRoot 47 EndRoot Over 12 EndFraction
D
StartFraction negative 5 plus-or-minus StartRoot 97 EndRoot Over 12 EndFraction
2
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Which equation can be solved using the expression for x?
A
10x2 = 3x + 2B
2 = 3x + 10x2C
3x = 10x2 – 2D
10x2 + 2 = –3x3
If the discriminant of a quadratic equation is equal to , 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.4
Which equation shows the quadratic formula used correctly to solve 5x2 + 3x – 4 = 0 for x?
A
x = StartFraction negative 3 plus-or-minus StartRoot (3) squared minus 4 (5) (negative 4) EndRoot Over 2 (5) EndFraction
B
x = StartFraction 3 plus-or-minus StartRoot (3) squared + 4 (5) (negative 4) EndRoot Over 2 (5) EndFraction
C
x = StartFraction 3 plus-or-minus StartRoot (3) squared minus 4 (5) (negative 4) EndRoot Over 2 (5) EndFraction
D
x = StartFraction negative 3 plus-or-minus StartRoot (3) squared + 4 (5) (negative 4) EndRoot Over 2 (5) EndFraction
5
Using the quadratic formula to solve x2 = 5 – x, what are the values of x?
A
StartFraction negative 1 plus-or-minus StartRoot 21 EndRoot Over 2 EndFraction
B
StartFraction negative 1 plus-or-minus StartRoot 19 EndRoot i Over 2 EndFraction
C
StartFraction 5 plus-or-minus StartRoot 21 EndRoot Over 2 EndFraction
D
StartFraction 1 plus-or-minus StartRoot 19 EndRoot i Over 2 EndFraction
6
Which equation could generate the curve in the graph below?
A
y = 3x2 – 2x + 1B
y = 3x2 – 6x + 3C
y = 3x2 – 7x + 1D
y = 3x2 – 4x – 27
Which equation has the solutions ?
A
3x2 – 5x + 7 = 0B
3x2 – 5x – 1 = 0C
3x2 – 10x + 6 = 0D
3x2 – 10x – 1 = 08
Which equation has the solutions ?
A
x2 + 2x + 4 = 0B
x2 – 2x + 4 = 0C
x2 + 2x – 4 = 0D
x2 – 2x – 4 = 09
If is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?
A
The discriminant is 0.B
The discriminant is 6.C
The discriminant is positive.D
The discriminant is negative.10
What is the discriminant of 9x2 + 2 = 10x?
A
–356B
–172C
28D
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