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 II
C.
Method I
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.
4000 items
B.
4500 items
C.
450 items
D.
400 items
Hint
3.
Which of the following describes the system of equations 2
x
-
y
+ 4 = 0 and 4
x
- 2
y
+ 7 = 0?
A.
inconsistent
B.
consistent and independent
C.
none of these
D.
consistent and dependent
Hint
4.
Solve the system of equations
x
= 4 and 3
x
- 4
y
= 12 by graphing.
A.
B.
C.
D.
Hint
5.
Choose the best method to solve the system of equations
x
+
y
= 2
and
y
= 3
x
- 4.
A.
Substitution
B.
Graphing
C.
Eliminate
y
D.
Eliminate
x
Hint