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College Math Placement Exam (Latest 2024 / 2025 Update) Questions and Verified Answers with Steps | 100% Correct | Grade A
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College Math Placement Exam (Latest 2024 / 2025 Update) Questions and Verified Answers with Steps | 100% Correct | Grade A Question: Darcy read her thermometer in the morning and the temperature was −2° C. In the afternoon the same thermometer showed a temperature of −5° C. Which of t...

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  • August 10, 2024
  • 51
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

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College Math Placement Exam
(Latest Update)
Questions and Verified Answers with
Steps | 100% Correct | Grade A


Question:
Darcy read her thermometer in the morning and the temperature was −2° C.
In the afternoon the same thermometer showed a temperature of −5° C.
Which of the following is true?


A. The temperature was 3 degrees colder in the afternoon.
B. The temperature was 3 degrees warmer in the afternoon.
C. The temperature was 7 degrees warmer in the afternoon.
D. The temperature was 7 degrees colder in the afternoon.
Answer:
Subtract the earlier temperature, -2, from the later temperature, -5. This is the
same as adding positive 2.
-5 + 2 = -3
The temperature was 3 degrees colder in the afternoon.

,Question:
Find √50 +√ 18. Write your answer in simplest terms.


A. 8√2
B. 5√10+3
C. 5√2+√18
D. 34√2
Answer:
The answer is 8√2. Factor the radicands in √50 + √18. You get √25 ⋅ 2 +√9 ⋅ 2 .
Pulling out the perfect squares gives 5√2 + 3√2. Because they are like radicals,
you can add these.




Question:
Simplify the expression: 4x(2y) + 3y(2 − x)


A. 8xy + 6y − x
B. 5xy + 6y
C. 8xy + 6y − 3x
D. 11xy + 6y
Answer:
Multiply, and then combine like terms:
4x(2y) + 3y(2 − x)
= 8xy + 6y − 3yx
= 5xy + 6y

,Question:
An art gallery is selling three poster prints of paintings, costing $26, $35, and
$50. If the store started selling a fourth print for $45, by how many dollars
would the median cost of the prints change?


A. $5
B. $4
C. $2
D. No change
Answer:
The median cost of the prints would change by $5. The median, or middle,
cost of the three original prints is $35. When a fourth price is added to the list
of prices, the median is the number halfway between the two middle prices.
The price halfway between $35 and $45 is $40, so $40 is the new median price.
The median price has changed from $35 to $40, a difference of $5.




Question:
What are the solutions of the equation
3x^2 + 6x − 24 = 0 ?


A. −2, 4
B. 2, −4
C. 4, −6
D. −4, 6
Answer:

, First, factor 3 out, and divide both sides by it.
3x^2 + 6x − 24 = 0
3(x^2 + 2x − 8) = 0
x^2 + 2x − 8 = 0
Then, factor the quadratic equation. Find a factor pair of ac = 1(−8) = −8
whose sum is 2. That pair is 4,−2. Write the quadratic equation in factored
form, then set each factor equal to 0 and solve.
(x − 2)(x + 4) = 0
x−2=0⇒x=2
x + 4=0 ⇒ x = −4




Question:
Julio has two financial analysts provide profit functions for his company.
Analyst A provides the function given in the graph, where x is the month after
December 2013, while Analyst B offers the function
f(x) = −56x^2 + 800x + 30000.


How much faster is the average profit change projected by Analyst B, between
December 2013 and May 2014, compared to Analyst A?

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