Exam: Math Final
Duncan shares 20 percent of all of his
sales commissions with his personal as-
sistant. If Duncan earns x dollars in com-
y = 0.20x
missions and gives his assistant y dol-
lars, which equation correctly models
this situation?
A car travels 18 miles per gallon of
gas used. Which equation best repre-
sents the proportional relationship be-
y = 18x
tween the y miles that the car has trav-
eled and the x gallons of gasoline that it
has used?
What is the sale price of a phone that
was originally $199 but that has been $169.15
marked down by 15 percent?
A bookstore bought a case of 10 books
at a wholesale price of $84. The book-
store will sell the books at a 25 percent
$10.50
markup, and each book will be sold for
the same amount. How much will they
sell each book in the case for?
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 2. Divide the difference by the original
the original number and the new num- number. 3. Multiply the quotient by 100 to
ber.2. ________________________3. change it from a decimal to a percent.
________________________4. Round
the answer if necessary.They did not
agree on steps 2 and 3. Which instruc-
tions are correct for steps 2 and 3?
When Nancy started middle school, she
was 60 inches tall. When she started
10 percent increase
high school, she was 66 inches tall. What
was the percent change in her height?
1/9
, Exam: Math Final
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 ab- 119 and -119
solute value of 119. Which two integers
could Matthew and Gabrielle have plot-
ted?
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
13
the surface of the sea. On a number line,
what is the distance between the two
elevations?
What is the value of the expression be-
low?
1
-50 + 51
Julio predicted that the average high
temperature for January would be . The
actual average high temperature was 4
-3 C
degrees higher than Julio's prediction.
Which describes the actual average high
temperature for January?
Allison is evaluating the expression -5 -
remove 2 negative tiles
(-2) using integer tiles. She begins with 5
negative tiles as shown.
What should Allison do next to find the
value of the expression?
Laura determined the difference be-
tween 8 and -2 using the additive inverse.
Her steps are shown below.
The 8 should have remained positive.
8 - (-2) = -8 + 2 = -6
Which best describes the error in Laura's
work?
2/9
Duncan shares 20 percent of all of his
sales commissions with his personal as-
sistant. If Duncan earns x dollars in com-
y = 0.20x
missions and gives his assistant y dol-
lars, which equation correctly models
this situation?
A car travels 18 miles per gallon of
gas used. Which equation best repre-
sents the proportional relationship be-
y = 18x
tween the y miles that the car has trav-
eled and the x gallons of gasoline that it
has used?
What is the sale price of a phone that
was originally $199 but that has been $169.15
marked down by 15 percent?
A bookstore bought a case of 10 books
at a wholesale price of $84. The book-
store will sell the books at a 25 percent
$10.50
markup, and each book will be sold for
the same amount. How much will they
sell each book in the case for?
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 2. Divide the difference by the original
the original number and the new num- number. 3. Multiply the quotient by 100 to
ber.2. ________________________3. change it from a decimal to a percent.
________________________4. Round
the answer if necessary.They did not
agree on steps 2 and 3. Which instruc-
tions are correct for steps 2 and 3?
When Nancy started middle school, she
was 60 inches tall. When she started
10 percent increase
high school, she was 66 inches tall. What
was the percent change in her height?
1/9
, Exam: Math Final
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 ab- 119 and -119
solute value of 119. Which two integers
could Matthew and Gabrielle have plot-
ted?
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
13
the surface of the sea. On a number line,
what is the distance between the two
elevations?
What is the value of the expression be-
low?
1
-50 + 51
Julio predicted that the average high
temperature for January would be . The
actual average high temperature was 4
-3 C
degrees higher than Julio's prediction.
Which describes the actual average high
temperature for January?
Allison is evaluating the expression -5 -
remove 2 negative tiles
(-2) using integer tiles. She begins with 5
negative tiles as shown.
What should Allison do next to find the
value of the expression?
Laura determined the difference be-
tween 8 and -2 using the additive inverse.
Her steps are shown below.
The 8 should have remained positive.
8 - (-2) = -8 + 2 = -6
Which best describes the error in Laura's
work?
2/9
