College Algebra - Final
Milestone with Answers!!
2023/2024
You passed this Milestone
23 questions were answered
correctly. 2 questions were
answered incorrectly. 1
Which of the following equations is correctly calculated?
•
-2 × -7 = -14
•
81 ÷ -9 = -9
•
-36 ÷ 4 = 9
•
4 × 12 = -48
RATIONALE
This is correct. The quotient of a positive and
negative number is always negative.
This is incorrect. The product of two negative
, numbers is always positive. The correct product is
14.
This is incorrect. The quotient of a positive and a
negative number is always negative. The correct
quotient is -9.
This is incorrect. The product of two positive
numbers is always positive. The correct product is
48.
CONCEPT
Multiplying and Dividing Positive and Negative Numbers
2
Select the solution to the following system of equations:
•
•
correct
•
•
,RATIONALE
, Before you can add equations, sometimes
you must multiply entire equations by a
scalar value for the method to work as
intended. For this system, we can multiply
the second equation by .
Here, by multiplying by , the result
contains a term, which will cancel when
combined with the second equation. Now,
we can add the two equations together.
When we add the two equations, the term
will cancel, leaving . Now we can solve for
by dividing both sides by .
Once we divide both sides by , we get a
solution of . We can solve for by
plugging
in for in either equation.
Let's use the second equation .
Once is plugged in for , evaluate and
solve for .
Subtracting a negative is the same as
adding a postive . Next, subtract
from both sides.
On the right side, minus equals . Now
we can solve for by dividing both sides by
.
Downloaded by jane murage
()
Milestone with Answers!!
2023/2024
You passed this Milestone
23 questions were answered
correctly. 2 questions were
answered incorrectly. 1
Which of the following equations is correctly calculated?
•
-2 × -7 = -14
•
81 ÷ -9 = -9
•
-36 ÷ 4 = 9
•
4 × 12 = -48
RATIONALE
This is correct. The quotient of a positive and
negative number is always negative.
This is incorrect. The product of two negative
, numbers is always positive. The correct product is
14.
This is incorrect. The quotient of a positive and a
negative number is always negative. The correct
quotient is -9.
This is incorrect. The product of two positive
numbers is always positive. The correct product is
48.
CONCEPT
Multiplying and Dividing Positive and Negative Numbers
2
Select the solution to the following system of equations:
•
•
correct
•
•
,RATIONALE
, Before you can add equations, sometimes
you must multiply entire equations by a
scalar value for the method to work as
intended. For this system, we can multiply
the second equation by .
Here, by multiplying by , the result
contains a term, which will cancel when
combined with the second equation. Now,
we can add the two equations together.
When we add the two equations, the term
will cancel, leaving . Now we can solve for
by dividing both sides by .
Once we divide both sides by , we get a
solution of . We can solve for by
plugging
in for in either equation.
Let's use the second equation .
Once is plugged in for , evaluate and
solve for .
Subtracting a negative is the same as
adding a postive . Next, subtract
from both sides.
On the right side, minus equals . Now
we can solve for by dividing both sides by
.
Downloaded by jane murage
()
