Math 1280 Final Exam: Questions With A+ Solutions
Duncan shares 20 percent of all of his sales commissions with his personal
assistant. If Duncan earns x dollars in commissions and gives his assistant y
dollars, which equation correctly models this situation? Correct Answer -
y = 0.20x
A car travels 18 miles per gallon of gas used. Which equation best represents
the proportional relationship between the y miles that the car has traveled
and the x gallons of gasoline that it has used? Correct Answer - y = 18x
What is the sale price of a phone that was originally $199 but that has been
marked down by 15 percent? Correct Answer - $169.15
A bookstore bought a case of 10 books at a wholesale price of $84. The
bookstore will sell the books at a 25 percent markup, and each book will be
sold for the same amount. How much will they sell each book in the case for?
Correct Answer - $10.50
Selina and three of her classmates each wrote out the steps for finding an
approximate percent change. They all agreed on the first and fourth step:1.
Find the positive difference between the original number and the new
number.2. ________________________3. ________________________4. Round the answer if
necessary.They did not agree on steps 2 and 3. Which instructions are correct
for steps 2 and 3? Correct Answer - 2. Divide the difference by the original
number. 3. Multiply the quotient by 100 to change it from a decimal to a
percent.
When Nancy started middle school, she was 60 inches tall. When she started
high school, she was 66 inches tall. What was the percent change in her
height? Correct Answer - 10 percent increase
Matthew plots an integer on a number line that has an absolute value of 119.
Gabrielle plots a different integer on the same number line that also has an
absolute value of 119. Which two integers could Matthew and Gabrielle have
plotted? Correct Answer - 119 and -119
, Chris is standing on a cliff that is 3 feet above sea level. He dives into the water
and descends to a depth 10 feet below the surface of the sea. On a number
line, what is the distance between the two elevations? Correct Answer -
13
What is the value of the expression below?
-50 + 51 Correct Answer - 1
Julio predicted that the average high temperature for January would be . The
actual average high temperature was 4 degrees higher than Julio's prediction.
Which describes the actual average high temperature for January? Correct
Answer - -3 C
Allison is evaluating the expression -5 - (-2) using integer tiles. She begins
with 5 negative tiles as shown.
What should Allison do next to find the value of the expression? Correct
Answer - remove 2 negative tiles
Laura determined the difference between 8 and -2 using the additive inverse.
Her steps are shown below.
8 - (-2) = -8 + 2 = -6
Which best describes the error in Laura's work? Correct Answer - The 8
should have remained positive.
What is the product of (9) (-9) (-1)? Correct Answer - 81
For 6 consecutive days, Alejandro studied for 5 minutes more each day than
he did the previous day. Which best represents the change in the amount of
time that Alejandro studied on the first day to the amount of time he studied
on the last day? Correct Answer - 30 minutes
Enrique says 0.4 repeating is a rational number. Which of the following best
describes whether Enrique is correct and why? Correct Answer - Enrique
is correct. Repeating decimals are rational numbers because they can be
written as fractions. The number is actually equivalent to 4/9
Duncan shares 20 percent of all of his sales commissions with his personal
assistant. If Duncan earns x dollars in commissions and gives his assistant y
dollars, which equation correctly models this situation? Correct Answer -
y = 0.20x
A car travels 18 miles per gallon of gas used. Which equation best represents
the proportional relationship between the y miles that the car has traveled
and the x gallons of gasoline that it has used? Correct Answer - y = 18x
What is the sale price of a phone that was originally $199 but that has been
marked down by 15 percent? Correct Answer - $169.15
A bookstore bought a case of 10 books at a wholesale price of $84. The
bookstore will sell the books at a 25 percent markup, and each book will be
sold for the same amount. How much will they sell each book in the case for?
Correct Answer - $10.50
Selina and three of her classmates each wrote out the steps for finding an
approximate percent change. They all agreed on the first and fourth step:1.
Find the positive difference between the original number and the new
number.2. ________________________3. ________________________4. Round the answer if
necessary.They did not agree on steps 2 and 3. Which instructions are correct
for steps 2 and 3? Correct Answer - 2. Divide the difference by the original
number. 3. Multiply the quotient by 100 to change it from a decimal to a
percent.
When Nancy started middle school, she was 60 inches tall. When she started
high school, she was 66 inches tall. What was the percent change in her
height? Correct Answer - 10 percent increase
Matthew plots an integer on a number line that has an absolute value of 119.
Gabrielle plots a different integer on the same number line that also has an
absolute value of 119. Which two integers could Matthew and Gabrielle have
plotted? Correct Answer - 119 and -119
, Chris is standing on a cliff that is 3 feet above sea level. He dives into the water
and descends to a depth 10 feet below the surface of the sea. On a number
line, what is the distance between the two elevations? Correct Answer -
13
What is the value of the expression below?
-50 + 51 Correct Answer - 1
Julio predicted that the average high temperature for January would be . The
actual average high temperature was 4 degrees higher than Julio's prediction.
Which describes the actual average high temperature for January? Correct
Answer - -3 C
Allison is evaluating the expression -5 - (-2) using integer tiles. She begins
with 5 negative tiles as shown.
What should Allison do next to find the value of the expression? Correct
Answer - remove 2 negative tiles
Laura determined the difference between 8 and -2 using the additive inverse.
Her steps are shown below.
8 - (-2) = -8 + 2 = -6
Which best describes the error in Laura's work? Correct Answer - The 8
should have remained positive.
What is the product of (9) (-9) (-1)? Correct Answer - 81
For 6 consecutive days, Alejandro studied for 5 minutes more each day than
he did the previous day. Which best represents the change in the amount of
time that Alejandro studied on the first day to the amount of time he studied
on the last day? Correct Answer - 30 minutes
Enrique says 0.4 repeating is a rational number. Which of the following best
describes whether Enrique is correct and why? Correct Answer - Enrique
is correct. Repeating decimals are rational numbers because they can be
written as fractions. The number is actually equivalent to 4/9
