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Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
What is the additive inverse of 0?
If x is positive and y is negative, which of the following quantities are positive?
(a) x – y (b) x · y (c) y – x (d) x
y(e) x ·x ·y(f) x ·y ·y
Is the integer 0 positive or negative? Explain.
Use decimal notation to give an example of a rational number which does not terminate.
Explain the purpose of each “–” sign in these examples. (a) 4– 2 (b) (-2) (c) –(-9)
List the following quantities in order from the smallest to the largest.
–11
3–1
21
100 0 –2–3
4–0.6 0.0001
Explain what happens when an integer is multiplied by 1, –1, and 0. Which one is the
multiplicative identity for integers?
Which of the following are rational numbers?
2.73.2561 0–2 8 –3
4–0.6
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Add. Do not use a number line except as a check.
Convert to decimal notation.
The number 0 has no reciprocal.
Find –x when x is -1.4954
D
Add. Do not use a number line except as a check.
-44 +7.4 + (-12.6) + (-20) +57
The temperature at the South pole was -9° at 8 am. At 3 pm, it was 16°. By how many degrees did
the temperature rise?
Tell which integer corresponds to the situation.
The team gave up 17 points.
During one year 28 new employees began work at Daniel’s Manufacturing Company and 29
employees left. At the beginning of the year there were 309 employees. What was the number of
employees at the end of the year?
-13 + (-3) + (-20) + (-1) +9+ (-12)
Add. Do not use a number line except as a check.
On January 5, the temperature at a camp site near the arctic circle was –26° Fahrenheit. The
temperature rose 4°F per day for 4 days. What was the temperature on January 9th?
Convert to decimal notation.
Last year, Maria earned $363 per week. This year, her salary increased to $379 per week. What is
the percent of increase?
Graph the numbers on the number line.
The stock market gained 33 points on Tuesday and lost 39 points on Wednesday. It had closed on
Monday at 2576 points. Where did the market close on Wednesday?
Find the opposite of -1.9
Convert to decimal notation.
An ascending weather balloon starts taking air samples at a height of 30,000 feet and every 2000
feet thereafter. What is its height when it takes the 7th sample?
Convert to decimal notation.
Convert to decimal notation.
Insert < or > to make the statement true.
Add. Do not use a number line except as a check.
Add. Do not use a number line except as a check.
-2.2 + (-6.8) + (-5.8) +10
Insert < or > to make the statement true.
Add. Do not use a number line except as a check.
Insert < or > to make the statement true.
Add. Do not use a number line except as a check.
Graph the numbers on the number line.
Insert < or > to make the statement true.
Tell which integer corresponds to the situation.
Insert < or > to make the statement true.
Add. Do not use a number line except as a check.
A
D)
Tell which integer corresponds to the situation.
Add. Do not use a number line except as a check.
By switching service providers, a family’s telephone bill decreased from about $50 a month to
about $44. What was the percent of decrease?
B)
A corporation’s bank account has $7602 in it when the treasurer writes checks for $375, $5034, and
$3244. Then deposits of $3659 and $2442 are made. How much is in the account? Is it overdrawn?
A bike road race starts at an elevation of 890 feet and passes through 5 stages where the elevation
changes by 53 feet, 338 feet, -686 feet, -244 feet, and -76 feet. At what elevation does the race end?
Provide an appropriate response.
Which of the following statements is/are true?
(i) All rational numbers are real numbers.
(ii) All real numbers are rational numbers.
(iii) All rational numbers are integers.
(iv) All integers are rational numbers.
In four rounds of a card game, you get scores of 5, -2, -8, and 4. What is your final score?
Add. Do not use a number line except as a check.
3+ (-11) +7+ (-10) +20 + (-17)
A football team gained 15 yards on one play, lost 16 yards on another, and gained 22 yards on the
last play of the first half. They had already gained 389 yards during the half. What was the total
yardage gain for the first half?
Convert to decimal notation.
Add. Do not use a number line except as a check.
-6 ·(-8) ·5·(-3) ·5·(-2) ·(-3)
D
Insert < or > to make the statement true.
32 + (-67) –27 – (-76) + (-34)
Add. Do not use a number line except as a check.
Add. Do not use a number line except as a check.
C
Insert < or > to make the statement true.
Find –(–x) when x is 232.
Add. Do not use a number line except as a check.
362+ (-41) +49 + (-364) + (-85) +340
Answer:
B
Explanation:
A)
B)
Tell which integer corresponds to the situation.
Add. Do not use a number line except as a check.
18(2 –9) –12(3 –4)
6(4 –2) –4(8 –9)
D
Add. Do not use a number line except as a check.
Graph the numbers on the number line.
Insert < or > to make the statement true.
Add. Do not use a number line except as a check.
Convert to decimal notation.
Add. Do not use a number line except as a check.
Jack borrowed $930 from his brother. Jack’s brother wants 12 monthly payments of $90 to repay the
loan. How much extra is Jack’s brother charging for the loan?
In a certain location, the highest temperature recorded was 104°F. The lowest temperature recorded
was 131 degrees less than the highest. What was the lowest temperature?
Add. Do not use a number line except as a check.
Graph the numbers on the number line.
Nikki is fishing from a bank 35 feet above water level. In this location, the fish tend to feed at 40 feet
below the surface. How long must Nikki’s fish line be to reach the fish?
Add. Do not use a number line except as a check.
The number –18 has no reciprocal.
Add. Do not use a number line except as a check.
Tell which integer corresponds to the situation.
Your bank account has $67 in it when you write checks for $49, $12, and $52. You then deposit $18
and $49. How much is in the account? Are you overdrawn?
Add. Do not use a number line except as a check.
Convert to decimal notation.
Find the additive inverse of -17
Tell which integer corresponds to the situation.
The number 5 has no reciprocal.
A
Add. Do not use a number line except as a check.
Find the –x when x is 2
15.
Add. Do not use a number line except as a check.
Convert to decimal notation.
A stockbroker sold 5 shares of stock for $38.98 each. What was the total amount of the sale?
Tell which integer corresponds to the situation.
A deposit of $255 in your checkbook
Add. Do not use a number line except as a check.
A
Insert < or > to make the statement true.
Tell which integer corresponds to the situation.
A climb of 120 feet up a sheer mountain cliff
On January 5, the temperature at a camp site near the arctic circle was 9° Fahrenheit. The
temperature dropped 7°F per day for 5 days. What was the temperature on January 10th?