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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the average of the list of numbers.
Insert < or > between the pair of numbers to form a true statement.
Find the quotient of –16 and 2.
B
Find the quotient of –56 and –7.
Represent the quantity by a signed number.
Luke climbed 183 feet up a mountain.
Insert < or > between the pair of numbers to form a true statement.
Determine whether the statement is true or false.
If a > b, then a must be a positive number.
Sara has $206 in her checking account. She writes a check for $42, makes a deposit for $66, and then
writes another check for $180. Find the amount left in her account.
Insert < or > between the pair of numbers to form a true statement.
Find the sum of –19, –2, and 15.
Without actually finding the product, write the list of numbers in order from least to greatest.
(–2)12, (–2)13, (–7)12, (–7)13
(–7)13, (–2)13, (–2)12, (–7)12
(–2)12, (–7)12, (–2)13, (–7)13
(–7)12, (–2)12, (–2)13, (–7)13
(–2)12, (–2)13, (–7)12, (–7)13
City A has an elevation of 15,513 feet above sea level while city B has an elevation of 17,590 feet
below sea level. Find the difference in elevation between those two cities.
Find the opposite of the number.
Find the average of the list of numbers.
Find the average of –24, –10, 0, and 6.
Determine whether the statement is true or false.
The sum of a positive number and a negative number is always a negative number.
The bar graph shows the average temperature in Little City each month for a six month period.
In which month was the average temperature closest to 0°C?
Graph the signed numbers in the list on a number line.
Find the opposite of the number.
A checking account had a beginning balance of $1493. A deposit was made in the amount of $1566.
Every month for 11 months $60 was withdrawn. How much money was left in the account at the
end of the 11 months?
Choose all numbers for x from the given list that make the statement true.
24 – [10 – (5–9)] +(1 –3)3
Find the sum of –20 and 60.
Fill in the blank with one of the words or phrases listed below.
signed opposite inequality symbols absolute value
integers average is less than additive inverse
positive negative is greater than
The symbols “<” and “>” are called .
Write the given integers in order from least to greatest.
Determine whether the statement is true or false.
Zero is always less than a negative number.
C
Scores in golf can be 0 (also called par), a positive integer (also called above par) or a negative integer (also called below
par). Below are the scores of some members of a college golf team in a recent tournament.
Find the average of the scores for Dan, Emeril and Fran.
Represent the quantity by a signed number.
The bottom of a lake is 484 feet below sea level.
Insert < or > between the pair of numbers to form a true statement.
Determine whether the statement is true or false.
|–5– (–10)| = |–5| – |–10|
Fill in the blank with one of the words or phrases listed below.
signed opposite inequality symbols absolute value
integers average is less than additive inverse
positive negative is greater than
The numbers are numbers greater than zero.
B)
Determine whether the statement is true or false.
The sum of zero and a positive number is always a positive number.
The bar graph shows the average temperature in Little City each month for a six month period.
In which month was the average temperature the highest?
Joel has started a business mowing lawns for the summer. The bar graph below tracks his net
income for five weeks.
Find the difference in Joel’s net income between week 2 and week 4.
Fill in the blank with one of the words or phrases listed below.
signed opposite inequality symbols absolute value
integers average is less than additive inverse
positive negative is greater than
The numbers are numbers less than zero.
Insert < or > between the pair of numbers to form a true statement.
A deep–sea diver dives from the surface to 108 feet below the surface. She then dives down 19 more
feet. Find the diver’s depth.
–87; 87 ft. below the surface
–130; 130 ft. below the surface
–127; 127 ft. below the surface
–89; 89 ft. below the surface
C
Determine whether the statement is true or false.
Zero is always less than a positive number.
Meredith got a monthly cable bill for a base rate of $18.30 , an additional $5.00 for a package of
movie channels, a charge of $2.33 for taxes, and a credit of $17.70 to make up for a billing error the
previous month. How much was the cable bill?
Represent the quantity by a signed number.
Sara recorded a deduction of $115.07 in her checkbook
A
The temperature at 5 p.m. on January 1 was –11° Fahrenheit. By 7 p.m. the temperature had risen
16 degrees. Find the temperature at 7 p.m.
A weather forecaster predicts that the temperature will drop 4 degrees each hour for the next 9
hours. If the temperature is 16°F before the temperature starts falling, what is the temperature after
the drop?
Find the sum of –15, –20, and 19.
Insert < or > between the pair of numbers to form a true statement.
Graph the signed numbers in the list on a number line.
Ben lost $528 on each of 6 consecutive days in the stock market. If he had $14,880 before his loss,
how much does he have after his loss?
Find the product of –5
8 and 1
9.
Graph each number on a number line.
Represent the quantity by a signed number.
The stock market average experienced a 24–point gain in one day.
Insert < or > between the pair of numbers to form a true statement.
Find the sum of –6 and 96.
Herbert, an African elephant living in a zoo, had been sick and lost a lot of weight. He was down to
9228 pounds. The zoo made a special effort to get food into him. The first month of this effort he
gained 100 pounds, the second month he gained another 90 pounds, the third month he had a
setback and lost 29 pounds, and the fourth month he gained 122 pounds. What was Herbert’s total
weight gain or loss in these four months?
Insert < or > between the pair of numbers to form a true statement.
Fill in the blank with one of the words or phrases listed below.
signed opposite inequality symbols absolute value
integers average is less than additive inverse
positive negative is greater than
The opposite of a number is also called its .
Fill in the blank with one of the words or phrases listed below.
signed opposite inequality symbols absolute value
integers average is less than additive inverse
positive negative is greater than
The are . . . , –3, –2, –1, 0, 1, 2, 3, . . . .
Fill in the blank with one of the words or phrases listed below.
signed opposite inequality symbols absolute value
integers average is less than additive inverse
positive negative is greater than
The of a number is that number’s distance from 0 on the number line.
D
Find the difference of –33 and –7.
Insert < or > between the pair of numbers to form a true statement.
The difference between a country‘s exports and imports is called the country’s trade balance. If a
country had $155 billion in exports and $266 billion in imports, what was the country’s trade
balance?
Find the opposite of the number.
Determine whether the statement is true or false.
The sum of two positive numbers is always a positive number.
A
The bar graph shows the average temperature in Little City each month for a six month period.
In which month was the average temperature closest to 5°C?
Represent the quantity by a signed number.
The team scored 7 points.
Provide an appropriate response.
Find the opposite of 6
7.
Add the numbers using the number line.
Find the opposite of the number.
Represent the quantity by a signed number.
Big Ben’s Plumbing recorded a loss of $387 last month.
Insert < or > between the pair of numbers to form a true statement.
Fill in the blank with one of the words or phrases listed below.
signed opposite inequality symbols absolute value
integers average is less than additive inverse
positive negative is greater than
Together, positive and negative numbers, and 0 are called numbers.
Kerry owed $190, borrowed an additional $150, and paid back $65. How much did she still owe?
Insert parentheses where needed so that the expression evaluates to the given number.
6·18 ÷3–9; evaluates to 27
Determine whether the statement is true or false.
The sum of zero and a positive number is always a negative number.
Drew has $156 in his checking account. He writes a check for $62, withdraws $20 from an ATM,
and then deposits $32. Represent the new balance in his account by an integer.
Without actually finding the product, write the list of numbers in order from least to greatest.
(–1)60, (–1)67, 017, (–3)18, (–3)25
(–1)67, (–3)25, 017, (–1)60, (–3)18
(–3)25, (–1)67, 017, (–1)60, (–3)18
017, (–1)60, (–1)67, (–3)18, (–3)25
(–3)25, (–3)18, (–1)67, (–1)60, 017
The difference between a country’s exports and imports is called the country’s trade balance. A
country had a trade balance of –$102 billion one year, $125 billion the next year, and –$52 billion
the third year. What was the total trade balance for these three years?
Insert parentheses where needed so that the expression evaluates to the given number.
4·7–3·5; evaluates to –32
Fill in the blank with one of the words or phrases listed below.
signed opposite inequality symbols absolute value
integers average is less than additive inverse
positive negative is greater than
The of a list of numbers is sum of numbers
number of numbers.
Add the numbers using the number line.
Find the quotient of –5
7 and 3
8.
C
Scores in golf can be 0 (also called par), a positive integer (also called above par) or a negative integer (also called below
par). Below are the scores of some members of a college golf team in a recent tournament.
Find the average of the scores of the members shown.
C
Determine whether the statement is true or false.
The absolute value of a number is always a positive number.
In a card game, it is possible to have a negative score. If Laura’s score is 21, what is her new score if
she loses 36 points?
Represent the quantity by a signed number.
The temperature recorded at the airport was 48°above zero.
A mountain in the Great Smoky Mountains National Park has an elevation of 5467 feet above sea
level. A gap in the Atlantic Ocean has an elevation of 24,303 feet below sea level. Represent the
difference in elevation between these two points.
B
–13 + (–5) + (–14) + (–5) +19 + (–6)
Find the opposite of the number.
In the first year of production, Little City Productions produced and sold 3059 thousand of its Little
City Collectible Bears. In the 6th year, the number of these bears produced and sold had dropped to
455 thousand. Find the change in the number of bears produced, and find the average change per
year in the number of bears produced in this 6–year period.
change: 2604 thousand bears
average change: 434 thousand bears
change: 2604 thousand bears
average change: –434 thousand bears
change: –2604 thousand bears
average change: –434 thousand bears
change: –2604 thousand bears
average change: 434 thousand bears
C
Fill in the blank with one of the words or phrases listed below.
signed opposite inequality symbols absolute value
integers average is less than additive inverse
positive negative is greater than
The sign “<” means and “>” means .
is less than, is greater than
is greater than, is less than
C
A diver starts at sea level and then makes 6 successive descents of 24 feet. After the descents, what
is her elevation?
The highest point at at oil drilling operation is the top of the 70–foot–high oil drilling rig. The
lowest point the drill head has reached so far is –247 feet. How far above the drill head is the top of
the oil drilling rig?
Determine whether the statement is true or false.
The number –a is always a negative number.
Find the product of –17 and 9.
The bar graph shows the average temperature in Little City each month for a six month period.
In which month was the average temperature the second lowest?
A
12(–1) – (–6) (–9)
2 [–12 ÷ (–3–3)]
Find the sum of –19, –2, and 15.
Add the numbers using the number line.
Represent the quantity by a signed number.
The price of a gallon of gas rose 31¢ in one day.
D)
Find the product of –10 and –18.
Scores in golf can be positive or negative integers. For example, a score of 5over par can be
represented by +5 and a score of 1under par can be represented by –1. If Donna had scores of 1 over
par, 4 under par, and 8 under par for three games of golf, what was her total score?
12 + (–15) +16 + (–12) +8+ (–11)
The bar graph below shows the yearly net income for Widgets, LTD.
Find the total net income for all years shown.
Insert < or > between the pair of numbers to form a true statement.
Write the given integers in order from least to greatest.
Insert < or > between the pair of numbers to form a true statement.
Find the opposite of the number.
Find the opposite of the number.
Add the numbers using the number line.
The temperature on a November morning is –4°F at 2 a.m. If the temperature drops 5° by 3 a.m.,
rises 7° by 4 a.m., and then drops 3° by 5 a.m., find the temperature by 5 a.m.
C
Fill in the blank with one of the words or phrases listed below.
signed opposite inequality symbols absolute value
integers average is less than additive inverse
positive negative is greater than
Two numbers that are the same distance from 0 on the number line but are on opposite sides of 0
are called .
The bar graph below shows the yearly net income for Widgets, LTD.
What was the net income (in dollars) for Widgets, LTD in 2009?
A deep–sea diver dives from the surface to 172 feet below the surface and then swims up 10 feet,
down 15 feet, down another 28 feet, and then up 21 feet. Find the diver’s depth after these
movements.
–98; 98 ft below the surface
–184; 184 ft below the surface
–128; 128 ft below the surface
–204; 204 ft below the surface
Insert < or > between the pair of numbers to form a true statement.
Graph the signed numbers in the list on a number line.
Write the given integers in order from least to greatest.
–(–3), 42, –12, –|–7|, |–13|
–12, |–13|, –|–7|, –(–3), 42
–12, –|–7|, –(–3), 42, |–13|
–12, –|–7|, –(–3), |–13|, 42
|–13|, –12, –|–7|, –(–3), 42
A football team lost 10 yards on each of two consecutive plays. Represent the total loss as product
of signed numbers and find the total loss.
2 + (–10) = –8 yds; 8 yard loss
2 · (–10) = –20 yds; 20 yard loss
10 – 2 =8 yds; 8 yard loss
2 · (–10) = –22 yds; 22 yard loss
Sara recorded the following temperature readings in degrees Fahrenheit at 7 A.M. each morning for
eight days in a row: –15°, –17°, –2°, 3°, 6°, –1°, –19°, and –21°. What was the average temperature?
Round to the nearest hundredth when necessary.
Add the numbers using the number line.
Determine whether the statement is true or false.
A positive number is always greater than a negative number.
Richard owns 60 shares of a stock whose value went down $1.40 per share. He also owns 45 shares
of a stock whose value went up $0.60 per share. How much did Richard gain or lose?
D
The bar graph below shows the yearly net income for Widgets, LTD.
Find the total net income for years 2009 and 2010.
D
Insert < or > between the pair of numbers to form a true statement.
–14 + (–25) + (–8) + (–13)
Determine whether the statement is true or false.
The graph shows the melting points in degrees Celsius of three compounds: Compound A,
Compound B and Compound C.
The melting point of Compound D is 3 times the melting point of Compound A. Find the melting
point of Compound D.
Big Bear Lake has a maximum depth of 3302 feet. The elevation of the lake‘s surface is 1213 feet
above sea level. What is the elevation (with respect to sea level) of the deepest point in the lake?
–5391 feet below sea level
3302 feet below sea level
4515 feet below sea level
–2089 feet below sea level
76 + (–2)(7) + 266 ÷ (–19)