Simplify

1.           

2.                 

 

 

Evaluate for

  1.  = ____

Evaluate for

  1.  = ____
  2. = ____

Choose from: slope-intercept, standard, point-slope

  1. Ax + By = C is called the ___________ form of the equation of a line.
  2. y = mx+b is called the ____________ form of the equation of a line.
  3. y-y1 = m(x-x1) is called the ___________ form of the equation of a line.

 

Fill in the blank to make a true statement.

  1. Every point on a line is a solution that line’s ________.
  2. The rate of rise to run is called the ____________  of the line.
  3. The point where the line crosses the y-axis has an x-value of ________
  4. The point where the line crosses the x-axis has a y-value of ________
  5. In a coordinate plane, lines are parallel if they have the same _______ but different intercepts.
  6. The point where the line crosses the y-axis has an x-value of ________
  7. A line with a equation in the form y = b is ________ (horizontal / vertical)
  8. A line with a equation in the form x = c is ________ (horizontal / vertical)
  9. Lines that rise from left to right have a __________ slope.
  10. Lines that fall from left to right have a ____________ slope.

 

Solve for the given variable

Give the slope and y-intercept of each line:

 

  1. slope: _____
  2. y-int: _____

  1. slope: _____
  2. y-int: _____

  1. slope: _____
  2. y-int: _____

  1. slope: _____
  2. y-int: _____

 

Determine whether the relationship is linear, quadratic, absolute value, or circle.

32.             

33.             

34.             

35.             

36.             


 

Write the equation in slope-intercept form of the line with the given slope and through the given point.

 
  1. m = 2 and through (0 . 0)
  2. m = -3 and through (2 , 3)
  3. m = 1 and through (8, 8)
  4. m = -5 and through (-4 , 2)
  5. m = 0 and through (8, -3)

 

Write the equation in point-slope form of the line through the two points.

 
  1. (6 , 2) and (0 , 0)
  2. (3 ,  -2) and ( 0 , 1)
  3. (2 , 6) and (1 , 1)

    4.
  4. (4 , 4)  and (7 , 7)
  5. (1 , -3) and (4 , 6)
  1. Find the area of a rectangle with length 6 ft and width 5.5 ft.      ____________
  2. Find the area of a triangle with base 20 m and height 7 m.          ____________
  3. Given  find the equation when the time is t sec. and the rate is 35 ft/sec. ________
  4.  find the equation when the time is t sec. and the rate is 60 mph._________

 

  1. If a runner begins with a30 ft lead and runs 4 ft/sec faster than his opponent, how long will it take for the runner to have a 60 ft lead?         _____________

 

  1. Where do the lines and intersect?  (    ,    )
  2. Where do the lines and intersect?  (    ,    )
  3. Find the point of intersection for  and       (    ,    )
  4. Find the point of intersection for  and   (    ,    )
  5. Find the point of intersection for  and                  (    ,    )
  6. A car rental company charges $45 per day plus $0.25 per mile.   Another company charges $62 per day plus $0.20 cents per mile.  If you rent for the same number of days, at what mileage are the two plans equal?            __________