Inequalities — Unit test Answers

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A student solves the equation using the steps in the table. Original equationCross multiplicationDistributive propertySubtraction property of equality5 = xWhich method of solving for the variable could be used instead of cross multiplication?

Question illustration
A
distributing x + 3 and then 3x + 5 to both sides of the equation
B
distributing x – 3 and then 3x – 5 to both sides of the equation
C
using the multiplication property of equality to multiply both sides of the equation by 10
D
using the multiplication property of equality to multiply both sides of the equation by
Option D
23

The area of a sector of a circle is given by the equation , where r is the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write?

Question illustration
A
360 uppercase A + pi r squared
Option A
B
360 uppercase A minus pi r squared
Option B
C
StartFraction 360 + uppercase A Over pi r squared EndFraction
Option C
D
StartFraction 360 uppercase A Over pi r squared EndFraction
Option D
25

Which represents the solution set of

Question illustration
A
x less-than 12
Option A
B
x greater-than 12
Option B
C
x less-than 16
Option C
D
x greater-than 16
Option D

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