Answers Algebra III AQuadratic Inequalities

Quadratic Inequalities — Unit test Answers

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Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 15 EndRoot Over 11 EndFraction

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction 2 StartRoot 15 EndRoot Over 11 EndFraction

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 7 EndRoot Over 11 EndFraction

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 7 EndRoot i Over 11 EndFraction

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Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long?A = lw

y = (60 – x)(x)

y = (120 – x)(120 + x)

y = (120 – x)(x)

y = (60 – x)(60 + x)

Solve for in the equation .

x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction

x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction

x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. Which ordered pair generated by this model should be discarded because the values are unreasonable?

(–4, 1)

Option

(6, 0)

Solve for in the equation .

x = 3 plus-or-minus StartRoot 23 EndRoot

x = 3 plus-or-minus StartRoot 51 EndRoot

x = 3 plus-or-minus StartRoot 41 EndRoot

x = 3 plus-or-minus StartRoot 5 EndRoot

What are the values of x in the equation x2 – 6x + 9 = 25?

x = –2 or x = 8

x = –1 or x = –11

x = 1 or x = 11

x = 2 or x = –8

What is the sum of 12 – 5i and –3 + 4i?

–16 + 63i

9 – i

9 – 9i

15 – 9i

What is the value of i 20+1?

–1

–i

What is the greatest possible integer value of x for which is an imaginary number?

What is the value of i 97 – i?

–i

–2i

i Superscript 96

An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground?h(t) = at2 + vt + h0

1.9 s

2.4 s

9.7 s

40.7 s

Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?

Option

Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

100

The table below shows the data for a car stopping on a wet road. What is the approximate stopping distance for a car traveling 35 mph? Car Stopping Distancesv(mph)d(ft)1517.92031.850198.7