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 .
Dividing by gives a solution of .
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 .
Dividing by gives a solution of .
Downloaded by jane murage ()
