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Compare quantities: mixed set 3: original cases with explanations after your first response.
Paper packet. Every task here also exists on screen, where it is checked automatically; answers written on paper are not assessed by Nydus. When you are back at a device, enter your answers there.
This set combines distribution summaries, reciprocal expressions and constrained shapes. Separate facts fixed by the conditions from quantities still free to vary.
r and s are real and r squared < s squared. Quantity A: r Quantity B: s Compare the quantities using only the stated information.
An isosceles triangle has equal sides 5 and base 6. Quantity A: Its altitude to the base Quantity B: 4 Compare the quantities using only the stated information.
A population changes from 50 to 60, then from 60 to 70. Quantity A: First percentage increase Quantity B: Second percentage increase Compare the quantities using only the stated information.
x is positive. Quantity A: x + 1/x Quantity B: 2 Compare the quantities using only the stated information.
A committee of 3 is chosen from 7 people without assigning roles. Quantity A: Number of possible committees Quantity B: 35 Compare the quantities using only the stated information.
A right circular cylinder has radius 3 and height 8. Quantity A: Its volume divided by pi Quantity B: Its total surface area divided by pi Compare the quantities using only the stated information.
Remember that equality versus a strict inequality is enough to make the relationship indeterminate, even when the inequality never reverses direction.