Download Algebra II/Trig

Algebra II/Trig
Ch. 4 Group Quiz
2016
Name ___________________________
Name___________________________
Name___________________________
Name___________________________
Per _____
Solve by linear combination:
_______________ 1) x + 3y = -5
2x – 3y = 8
_______________
2) x + 2y – 3z = 11
2x + y – 2z = 9
4x + 3y + z = 16
_______________ 3) Solve by determinants (Cramer’s Rule):
x – y = ‒2
2x + 3y = ‒14
_______________ 4) Use determinants (Cramer’s Rule) to find the value of x in: x + y – z = ‒9
2x – 3y + 2z = 13
3x – 5y - 6z = ‒15
________________ 5) Solve by augmented matrices: 6x – 7y = 35
2x + 5y = -25
________________ 6) Use augmented matrices to solve for z only: 2x – 5y + z = 17
x – 3y + 2z = 15
5x + y – 3z = 7
# 7-10. Let f(x) = 2x – 5
g(x) = 7 – 3x
h(x) = x2 – 3x + 4
Find the following and simplify completely.
________________ 7) h(0)
________________ 8) g(-5)
________________ 9) f(g(2))
_______________ 10 g(f(x))
11) Graph the system:
x – 2y < 8
y  -2x + 7
12) The Zapple store sells z-phones and accessories.
Let E = # of earbuds, and
P = # of phone covers
E
The number of earbuds and phone covers sold per month
must fit the following parameters:
i. P  20
ii. 10  E  60
iii. E  0.5P + 20
iv. 5P + 4E  400
a) Graph the inequalities and lightly shade the feasible region.
__________________ b) Each earbud costs $10, and each
phone cover costs $6. Write an
equation that shows the total cost, C.
P
____________________ c) Write the inequality and darken
the region of the graph in which
the cost to buy earbuds and
phone covers is at most $500.
________________ d) The optimum point is at the
minimum cost.
What is that point?
________________ e) What is the minimum cost to the company?