1.
If you use the substitution method to solve the system of equations
3
x
- 2
y
= 4 and
x
+
y
= 5, which of the following would be the best method?
Method I: Solve the second equation for
x
, and substitute 5 -
y
for
x
into the first equation.
Method II: Solve the second equation for
y
, and substitute 5 -
x
for
y
into the first equation.
A.
Both Method I and Method II are correct.
B.
Method I
C.
Method II
D.
Neither Method I nor Method II is correct.
Hint
2.
The cost of producing an item is $5 per item plus an initial cost of $2000. The selling price is $10 per item. Find the break-even point.
A.
450 items
B.
4000 items
C.
400 items
D.
4500 items
Hint
3.
Solve the system of equations
y
= 0.5
x
and 4
y
=
x
- 2 by graphing.
A.
B.
C.
D.
Hint
4.
Solve the system of equations
x
= 4 and 3
x
- 4
y
= 12 by graphing.
A.
B.
C.
D.
Hint
5.
Which of the following describes the system of equations
x
- 3
y
+ 2 = 0 and
2
x
- 6
y
+ 4 = 0?
A.
Inconsistent
B.
Consistent and independent
C.
none of these
D.
Consistent and dependent
Hint