AnswersAISD Algebraic Reasoning B Credit Recovery 2026-2027Unit Test

Unit Test — Unit test Answers

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The equation shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A, in astronomical units, AU. If planet Y is twice the mean distance from the sun as planet X, by what factor is the orbital period increased?

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A
2 Superscript one-third
Option A
B
2 Superscript one-half
Option B
C
2 Superscript two-thirds
Option C
D
2 Superscript three-halves
Option D
22
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Which expression is equivalent to ?

Question illustration
A
StartFraction 1 Over 25 EndFraction
Option A
B
One-tenth
Option B
C
10
D
25
23

Quincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radical form, to be x = .

Question illustration
A
Zero, because the discriminant is negative.
B
Zero, because the discriminant is not a perfect square.
C
One, because the negative and the minus cancel each other out.
D
Two, because of the ± symbol.
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Which expression is equivalent to ?

Question illustration
A
x cubed (RootIndex 3 StartRoot y EndRoot)
Option A
B
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
Option B
C
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
Option C
D
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)
Option D
25

What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?Discriminant = b2 – 4ac

A
–8
B
4
C
8
D
16

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