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Unit 8 Group Test
5 questions @ 6 points = 30 points
Directions - Answer each of the following questions. Show all of your work in order to receive full
credit. Circle your answers where appropriate.
1.
2.
a)
Edgar wonders if there are two numbers, x and y, whose sum, k, is the same as their
product, k. Write two (2) equations to represent Edgar's numbers.
b)
Combine the two equations in part (a) into one equation.
c)
Graph the equation from part (b) on the coordinate system below:
(HINT: don’t put into y-form -- make a table)
Solve for x in the following equations:
a)
x2 - 3x = 0
b)
2x2 - 5x + 2 = 0
c)
x+y=0
d)
3.
4.
5 - 2x
x
=5
3
e)
2x2 +6x - 25 = x2 + x - 1
Solve the following systems of equations.
a) y = 3x- 1
x + 2y = 5
b) y = 4x - 5
y = 2x + 1
c) x = 2y
x + 3y = 10
d) y = x
y = x+2
If a ball is tossed into the air at a rate of 80 feet per second, its height y above the ground (in
feet) after x seconds is given by the equation y = 80x - 16x2.
a)
Graph this equation
b)
How high is the ball after one second?
c)
When is the ball 96 feet in the air?
d)
If y = 0, what is x?
5.
6.
You have an orange standard die and a yellow standard die.
a)
If you roll the orange die, how many outcomes are possible?
b)
If you roll the orange die, what is the probability of getting an odd number?
c)
If you roll both dice, how many outcomes are possible? (not 12)
d)
If you roll both dice, what is the probability of getting a total of 5 points?
Graph the line x + y = 3 and the parabola x2 - 2 = y on the same set of axes, and name their
points of intersection.