Grima MAT 151
Chapter 2 Extra Practice
#1-2 Find the x and y-intercepts.
𝑥−4
1) y + 9 = x2
2) 𝑦 = 3𝑥+2
3) Find the x and y-intercepts then sketch a graph (it will be enough to label two points on
3
your graph) 8𝑥 − 4 𝑦 = 24
4) Write the standard form of the equation of the circle with the given radius (r) and center
(h,k) then sketch a graph of the circle. r = 5 (h,k) = (-2, 3)
5) Find the standard form of the equation of each circle. It may help to sketch a graph of the
circle before you start your algebra. Center (2, 5) contains the point (4, 5)
#6-7; find an equation for the line with the given properties. Express your answer in slope
intercept form.
6) Slope = -5; containing the point (2, -3)
7) Parallel to the line y = 2x + 7; containing the point (-5,4)
8) Rewrite so that the equation is written in the standard form of a circle and sketch a graph.
x2 + y2 +10x + 4y = -13
#9-10; determine the type of symmetry the graph of the equation has (if any)
9) y2 = x
10) y - 5x3 = 0
#11 – 12 Determine whether the graph is symmetric to the x-axis, y-axis, the origin, or none of
these. (5 points each)
11)
12)
13) M varies directly as the square root of n. M is 15 when n is 9. Find M when n is 16.
14) Y varies jointly as the square of x and the cube of z. Y is 256 when x is 4 and z is 2. Find Y
when x is 1 and z is 3.
15) The distance (D) a ball rolls down an inclined plane is directly proportional to the square of
the time (t) it rolls. In 2 seconds the ball rolls 20 feet. How far will the ball roll in 5 seconds?
16) The distance (D) it takes a car to stop is directly proportional to the square of the speed (s)
it is moving. A car traveling 20 miles per hour can stop in 35 feet. How long will it take a car
traveling 25 miles per hour to stop?
Answers: 1) x-intercepts (3,0) (-3,0) y-intercept (0,-9) 2) x-intercept (4,0) y-intercept (0,-2)
3) x-intercept (3,0) y-intercept (0,-32)
4) (x+2)2 + (y-3)2 = 25
5) (x-2)2 + (y – 5)2 = 4
6) y = -5x + 7
7) y = 2x + 14
8) (x+5)2 + (y + 2)2 = 16
9) x-axis
10) origin
11) x-axis
13) m = 20
14) y = 54
15) 125 feet
12) origin
16) (k = 7/80 I used k = .0875 to get my answer) 54.6875 feet (okay to round to 54.69 feet)