(You are allowed to use an approved graphing calculator on this section.)
Q1:
The city of Petersburg charges 5.3% sales tax. If someone in Petersburg pays $17.06 for an item after applying a 20% coupon (which applies only to the original price of the item and not the sales tax), how much did the item cost originally? Round to the nearest cent.
$67.43
$20.00
$22.51
Not enough information provided
$67.43
$20.00
$22.51
Not enough information provided
Q2:
Which of the following equations describes an ellipse with a major radius of 4 and a minor radius of 2?
16x² – y² = 4
x² / 2 + y² / 4 = 1
x² / 4 – y² / 16 = 1
4x² + y² = 16
16x² – y² = 4
x² / 2 + y² / 4 = 1
x² / 4 – y² / 16 = 1
4x² + y² = 16
Q3:
A triangle ABC has side length AB = 2 and angle measure <BAC = 31 degrees. Which of the following pieces of information would be sufficient to derive the side lengths AC and BC?
The angle measure <ACB
The side length AC
The perimeter of the triangle
No additional information is needed to derive the side lengths
The angle measure <ACB
The side length AC
The perimeter of the triangle
No additional information is needed to derive the side lengths