Section 2.1
Quiz 4.1
Question: Find the distance between the points (1, 2) and (-4, 1). Express your answer as a decimal approximation rounded to three decimal places.
 
     

Section 2.2
Quiz 4.2
Question: Find the y-intercepts of the equation   (x + 2)2 + (y – 7)2  =  85.
 
     

Section 2.3
Quiz 4.3
Question: What is the slope of the line through the points (3, 4) and (4, -3)? Express your answer as a fraction in lowest terms.
 
     

Section 2.3
Quiz 4.4
Question: What is the y-intercept of the line through the points (1, -2) and (-2, -1)? Express your answer as a fraction in lowest terms. If the line does not have a y-intercept, enter none.
 
     

Section 2.4 Question: Determine whether the lines –1x + 4y  =  2 and –4x + 1y  =  –4 are parallel, perpendicular or neither.
 
Quiz 4.5   Parallel
Perpendicular
Neither
 

Section 2.4
Quiz 4.6
Question: Write the equation of the circle in standard form.

 
     

Section 2.6
Quiz 4.7
Question: You know that y varies directly with x and inversely with t2. If y = 1/2 when x = 3 and t = 2, what is the value of y when x = 2 and t = 3? (Express your answer as a fraction in lowest terms.)
 
     
  Variation: You know that y varies directly with x3 and inversely with t. If y = 2 when x = 2 and t = 5, what is the value of y when x = 5 and t = 3? (Express your answer as a fraction in lowest terms.)
 
     

Section 2.6
Quiz 4.8
Question: An independent contractor is resurfacing a parking lot. He charges his customer $320 per day ($320/day) for asphalt cost. If the contractor actually uses 20 tons per day (ton/day), what price is he charging his customer for the asphalt (in units of $/ton)?
 
     
  Variations: A car traveling 50 miles per hour (mi/hr) has a fuel efficiency of 12.5 miles per gallon (mi/gal). How fast does it consume fuel (in units of gal/hr)?
 
     
    A company produces salt by evaporating sea water. The concentration of salt in sea water is 2.5 kg/m3. How much sea water do they need to evaporate (in units of m3/day) to produce salt at a rate of 2,000 kg/day?