Unit Test — Unit test Answers

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Graph the function y=x3+3x2-1. Based on the graph, what is the least possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.

-2.88

Option

-2.00

Option

-0.65

Option

-0.53

Option

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Which equation is the inverse of y = x2 – 36?

y = plus-or-minus StartRoot x EndRoot + 6

y = plus-or-minus StartRoot x + 36 EndRoot

y = plus-or-minus StartRoot x EndRoot + 36

y = plus-or-minus StartRoot x squared + 36 EndRoot

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)

If the discriminant of a quadratic equation is 4, which statement describes the roots?

There are two complex roots.

There are two real roots.

There is one real root.

There is one complex root.

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

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.

x = –3 or x = –2

x = –3 or x = 2

x = –2 or x = 3

x = 2 or x = 3

Which expression is equivalent to (4 + 6i)2?

–20 + 48i

8 + 12i

16 – 36i

20 + 48i

Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.

x = or x = 2

x = –2 or x =

x = or x = 1

x = 1 or x =

Which could be the function graphed below?

f (x) = StartRoot x minus 5 EndRoot + 1

f (x) = StartRoot x minus 2 EndRoot

f (x) = StartRoot x EndRoot

f (x ) = StartRoot x + 4 EndRoot

Which equation is the inverse of y = 7x2 – 10?

y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction

y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot

x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot

y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction

Which equation is an example of the commutative property of multiplication?

(4 + 2i) = (2i + 4)

(4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)

(4 + 2i)(3 – 5i) = (4 + 2i)(3 – 5i)(1)

(4 + 2i) = (4 + 2i + 0)

For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?

m greater-than negative StartFraction 25 Over 8 EndFraction

m less-than negative StartFraction 25 Over 8 EndFraction

m less-than StartFraction 25 Over 8 EndFraction

m greater-than StartFraction 25 Over 8 EndFraction

What is the value of i 20+1?

–1

–i

Adam is using the equation (x)(x + 2) = 255 to find two consecutive odd integers with a product of 255. When Adam solves the problem using the zero product property, what do those solutions represent?

two possible “first” integers

two possible “second” integers

the two consecutive odd integers with a product of 255

a possible “first” integer and a possible “second” integer

The parent function f(x) = x3 and its translation, g(x), are shown on the graph.

g(x) = (x – 5)3 + 3

g(x) = (x + 3)3 – 5

g(x) = (x – 3)3 + 5

g(x) = (x + 5)3 – 3

A graph of a quadratic function y = f(x) is shown below.What is the solution set of the quadratic inequality f(x) 0?

Option

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