Exam: Math Final
Study online at https://quizlet.com/_973bsw
1. 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?: y = 0.20x
2. A car travels 18 miles per gallon of gas used. Which equation best rep-
resents the proportional relationship between the y miles that the car has
traveled and the x gallons of gasoline that it has used?: y = 18x
3. What is the sale price of a phone that was originally $199 but that has been
marked down by 15 percent?: $169.15
4. 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?: $10.50
5. 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 num-
ber.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?: 2. Divide the difference by the original number. 3.
Multiply the quotient by 100 to change it from a decimal to a percent.
6. 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?: 10 percent increase
7. 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?: 119 and -119
8. 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?: 13
9. What is the value of the expression below?
-50 + 51: 1
10. Julio predicted that the average high temperature for January would be .
The actual average high temperature was 4 degrees higher than Julio's pre-
diction. Which describes the actual average high temperature for January?: -3
C
11. Allison is evaluating the expression -5 - (-2) using integer tiles. She begins
with 5 negative tiles as shown.
1/6
, Exam: Math Final
Study online at https://quizlet.com/_973bsw
What should Allison do next to find the value of the expression?: remove 2
negative tiles
12. 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?: The 8 should have remained
positive.
13. What is the product of (9) (-9) (-1)?: 81
14. 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?: 30 minutes
15. Enrique says 0.4 repeating is a rational number. Which of the following best
describes whether Enrique is correct and why?: Enrique is correct. Repeating
decimals are rational numbers because they can be written as fractions. The number
is actually equivalent to 4/9
16. A student has $78 in his checking account. If the student spends $12 on
lunch, which number could be combined with the amount left in the account
to make zero?: -66
17. What is the difference of -96.43 - (-98.67)?: 2.24
18. In the world's coldest freezer, sodium gas was cooled to a temperature of
78.5°C below zero and then cooled 194.65°C more.
What was the new temperature of the sodium gas?: -273.15 C
19. Which equation best represents this statement?
Negative five-sixths times the sum of a number and six and two tenths is seven
and five-tenths.: -5(x + 6.2) = 7.5
6
20. At the beach, Nardia collected triple the number of seashells that Pierre
did. Together, they collected 52 seashells. Which equations represents p, the
number of seashells that Pierre collected.: 3p + p = 52
21. Louie made 8.1 liters of fruit punch using only grape juice and carbonated
water. He used 4.2 liters of grape juice. The equation
4.2 + c = 8.1 can be used to represent this situation, where c is the number
2/6
Study online at https://quizlet.com/_973bsw
1. 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?: y = 0.20x
2. A car travels 18 miles per gallon of gas used. Which equation best rep-
resents the proportional relationship between the y miles that the car has
traveled and the x gallons of gasoline that it has used?: y = 18x
3. What is the sale price of a phone that was originally $199 but that has been
marked down by 15 percent?: $169.15
4. 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?: $10.50
5. 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 num-
ber.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?: 2. Divide the difference by the original number. 3.
Multiply the quotient by 100 to change it from a decimal to a percent.
6. 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?: 10 percent increase
7. 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?: 119 and -119
8. 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?: 13
9. What is the value of the expression below?
-50 + 51: 1
10. Julio predicted that the average high temperature for January would be .
The actual average high temperature was 4 degrees higher than Julio's pre-
diction. Which describes the actual average high temperature for January?: -3
C
11. Allison is evaluating the expression -5 - (-2) using integer tiles. She begins
with 5 negative tiles as shown.
1/6
, Exam: Math Final
Study online at https://quizlet.com/_973bsw
What should Allison do next to find the value of the expression?: remove 2
negative tiles
12. 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?: The 8 should have remained
positive.
13. What is the product of (9) (-9) (-1)?: 81
14. 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?: 30 minutes
15. Enrique says 0.4 repeating is a rational number. Which of the following best
describes whether Enrique is correct and why?: Enrique is correct. Repeating
decimals are rational numbers because they can be written as fractions. The number
is actually equivalent to 4/9
16. A student has $78 in his checking account. If the student spends $12 on
lunch, which number could be combined with the amount left in the account
to make zero?: -66
17. What is the difference of -96.43 - (-98.67)?: 2.24
18. In the world's coldest freezer, sodium gas was cooled to a temperature of
78.5°C below zero and then cooled 194.65°C more.
What was the new temperature of the sodium gas?: -273.15 C
19. Which equation best represents this statement?
Negative five-sixths times the sum of a number and six and two tenths is seven
and five-tenths.: -5(x + 6.2) = 7.5
6
20. At the beach, Nardia collected triple the number of seashells that Pierre
did. Together, they collected 52 seashells. Which equations represents p, the
number of seashells that Pierre collected.: 3p + p = 52
21. Louie made 8.1 liters of fruit punch using only grape juice and carbonated
water. He used 4.2 liters of grape juice. The equation
4.2 + c = 8.1 can be used to represent this situation, where c is the number
2/6
