Question 1

Solve the problem.
-In a certain location, the highest temperature recorded was 100°F. The lowest temperature recorded was 121 degrees less than the highest. What was the lowest temperature?
A)-21°F
B)0°F
C)21°F
D)-138°F

Accepted Answer

The lowest temperature is 121 degrees less than the highest, so 100°F - 121°F = -21°F.

Question 2

Solve the problem.
-The stock market gained 24 points on Tuesday and lost 11 points on Wednesday. It had closed on Monday at 2545 points. Where did the market close on Wednesday?
A)2510 points
B)2580 points
C)2532 points
D)2558 points

Accepted Answer

The answer of Solve the problem.
-The stock market gained 24...

Question 3

Solve the problem.
-In four rounds of a card game, you get scores of 7, 5, -4, and 10. What is your final score?
A)26
B)18
C)-26
D)-18

Accepted Answer

Your final score is the sum of all the scores from the four rounds: 7 + 5 + (-4) + 10 = 18.

Question 4

Solve the problem.
-A bike road race starts at an elevation of 870 feet and passes through 5 stages where the elevation changes by -438 ft, 574 ft, -134 ft, 514 ft, and 317 ft. At what elevation does the race end?
A)1565 ft
B)1703 ft
C)-2847 ft
D)2847 ft

Accepted Answer

The final elevation is calculated by adding the initial elevation to the sum of the elevation changes: 870 + (-438) + 574 + (-134) + 514 + 317 = 1703 feet.

Question 5

Solve the problem.
-Nikki is fishing from a bank 14 feet above water level. In this location, the fish tend to feed at 46 feet below the surface. How long must Nikki's fish line be to reach the fish?
A)32 feet
B)-14 feet
C)-32 feet
D)60 feet

Accepted Answer

To reach the fish, Nikki's line must extend from her position above the water down to the fish below the surface. This means adding the distance from the bank to the water level (14 feet) to the depth at which the fish feed (46 feet), totaling 60 feet.

Question 6

Use the chart to answer the question.
-The NSC (Not So Consistent)Corporation has just completed its first year of business. The following chart shows its monthly profit (or loss). $\begin{array}{lr}
\text { Month } & \text { Profit (Loss) in Dollars } \
\hline \text { January } & -14,526 \
\text { February } & 1874 \
\text { March } & -8977 \
\text { April } & -14,107 \
\text { May } & 14,073 \
\text { June } & 14,632 \
\text { July } & -13,834 \
\text { August } & -13,170 \
\text { September } & -4860 \
\text { October } & 6630 \
\text { November } & -3338 \
\text { December } & -974
\end{array}$

What is the difference between the greatest profit and the greatest loss?
A) $\$ 2,848$
B) $\$ 106$
C) $\$ 13,658$
D) $\$ 29,158$

Accepted Answer

The greatest profit is in June (\$14,632) and the greatest loss is in January (-\$14,526). The difference is \$14,632 - (-\$14,526) = \$14,632 + \$14,526 = \$29,158.

Question 7

Choose the expression that is equivalent to the given rational number.
-$\frac { 3 } { 8 }$
A) $\frac { 8 } { 3 }$
B) $\frac { 9 } { 25 }$
C) $0 . \overline { 375 }$
D) $0.375$

Accepted Answer

The fraction $\frac{3}{8}$ is equivalent to the decimal 0.375 when you divide 3 by 8.

Question 8

Solve the problem.
-After one round in a card game, your score was -25 points. After the second round, your score was 5 points. How many points did you gain in the second game?
A)20 points
B)5 points
C)30 points
D)-20 points

Accepted Answer

You gained 30 points in the second game because you went from -25 points to 5 points, which is a difference of 30 points.

Question 9

Write the fraction in lowest terms.
-$\frac { 8 } { 12 }$
A) $\frac { 11 } { 7 }$
B) $\frac { 2 } { 3 }$
C) $\frac { 3 } { 2 }$
D) $\frac { 9 } { 13 }$

Accepted Answer

The fraction $\frac{8}{12}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4. This gives $\frac{2}{3}$.

Question 10

Choose the expression that is equivalent to the given rational number.
-$\frac { 5 } { 6 }$
A) $0.8 \overline { 3 }$
B) $1 \frac { 1 } { 6 }$
C) $0 . \overline { 83 }$
D) $\frac { 20 } { 25 }$

Accepted Answer

When you divide 5 by 6, you get 0.8333..., which is represented as $0.8\overline{3}$, indicating that the 3 repeats indefinitely.

Question 11

Solve the problem.
-The temperature at the South pole was -39° at 8 am. At 3 pm, it was 10°. By how many degrees did the temperature rise?
A)by 29°
B)by 49°
C)by -49°
D)by -29°

Accepted Answer

The temperature rose from -39° to 10°, which is a difference of 49° (10 - (-39) = 49).

Question 12

Choose the expression that is equivalent to the given rational number.
-$\frac { 7 } { 9 }$
A) $0 . \overline { 7 }$
B) $\frac { 14 } { 16 }$
C) $0.78$
D) $\frac { 9 } { 7 }$

Accepted Answer

When you divide 7 by 9, you get a repeating decimal of 0.7777..., which is represented as $0 . \overline { 7 }$.

Question 13

Write the fraction in lowest terms.
-$\frac { 51 } { 68 }$
A) $\frac { 67 } { 50 }$
B) $\frac { 51 } { 68 }$
C) $\frac { 4 } { 3 }$
D) $\frac { 3 } { 4 }$

Accepted Answer

The greatest common divisor of 51 and 68 is 17. Dividing both numerator and denominator by 17 gives $\frac{51}{68} = \frac{3}{4}$.

Question 14

Solve the problem.
-Your bank account has $68 in it when you write checks for $47, $60, and $22. You then deposit $44 and $17. How much is in the account? Are you overdrawn?
A)-$136, yes
B)$22, no
C)$136, no
D)$0, no

Accepted Answer

The answer of Solve the problem.
-Your bank account has $68...

Question 15

Use the chart to answer the question.
-The NSC (Not So Consistent)Corporation has just completed its first year of business. The following chart shows its monthly profit (or loss). $\begin{array}{lr}
\text { Month } & \text { Profit (Loss) in Dollars } \
\hline \text { January } & -14,526 \
\text { February } & 1874 \
\text { March } & -8977 \
\text { April } & -14,107 \
\text { May } & 14,073 \
\text { June } & 14,632 \
\text { July } & -13,834 \
\text { August } & -13,170 \
\text { September } & -4860 \
\text { October } & 6630 \
\text { November } & -3338 \
\text { December } & -974
\end{array}$

What is the net profit (or loss) for the year?
A) A loss $\$ 73,786$
B) a loss of $\$ 36,577$
C) A profit of $\$ 634$
D) A profit of $\$ 37,209$

Accepted Answer

To find the net profit or loss for the year, add all the monthly profits and losses together. The sum of all the monthly values given in the chart results in a loss of $36,577.

Question 16

Use the chart to answer the question.
-The NSC (Not So Consistent)Corporation has just completed its first year of business. The following chart shows its monthly profit (or loss). $\begin{array} { l r } \text { Month } & \text { Profit (Loss) in Dollars } \ \text { January } & - 14,526 \ \text { February } & 1874 \ \text { March } & - 8977 \ \text { April } & - 14,107 \ \text { May } & 14,073 \ \text { June } & 14,632 \ \text { July } & - 13,834 \ \text { August } & - 13,170 \ \text { September } & - 4860 \ \text { October } & 6630 \ \text { November } & - 3338 \ \text { December } & - 974 \end{array}$
Of the months which had no profit, which had the least loss?
A) June
B) January
C) December
D) February

Accepted Answer

December had the least loss with a loss of only $974, which is lower than the losses in any other month listed as having a loss.

Question 17

Use the chart to answer the question.
-The NSC (Not So Consistent)Corporation has just completed its first year of business. The following chart shows its monthly profit (or loss). $\begin{array}{lr}
\text { Month } & \text { Profit (Loss) in Dollars } \
\hline \text { January } & -14,526 \
\text { February } & 1874 \
\text { March } & -8977 \
\text { April } & -14,107 \
\text { May } & 14,073 \
\text { June } & 14,632 \
\text { July } & -13,834 \
\text { August } & -13,170 \
\text { September } & -4860 \
\text { October } & 6630 \
\text { November } & -3338 \
\text { December } & -974
\end{array}$

Which month had the greatest profit?
A) February
B) May
C) June
D) October

Accepted Answer

June had the greatest profit with $14,632, which is higher than the profits listed for the other months provided in the options.

Question 18

Solve the problem.
-The ocean surface is at 0 ft elevation. A diver is underwater at an elevation of -127 ft near a rock formation. In this area, the ocean floor has an elevation of -399 ft. The rock formation rises to a
Peak 238 ft above the ocean floor. How many feet above the top of the rock formation is the diver?
A)161 ft
B)111 ft
C)34 ft
D)272 ft

Accepted Answer

The peak of the rock formation is 238 ft above the ocean floor, which is at -399 ft. So, the elevation of the peak is -399 + 238 = -161 ft. The diver is at -127 ft. Therefore, the diver is -127 - (-161) = 34 ft above the top of the rock formation.

Question 19

Solve the problem.
-A football team gained 35 yards on one play, lost 14 yards on another, and gained 24 yards on the last play of the first half. They had already gained 310 yards during the half. What was the total
Yardage gain for the first half?
A)355 yards
B)383 yards
C)369 yards
D)265 yards

Accepted Answer

35 + (-14) + 24 + 310 = 355

Question 20

Choose the expression that is equivalent to the given rational number.
-$\frac { 7 } { 11 }$
A) $0.64$
B) $0.6 \overline { 3 }$
C) $\frac { 28 } { 44 }$
D) $\frac { 11 } { 7 }$

Accepted Answer

C is correct because $\frac{28}{44}$ simplifies to $\frac{7}{11}$ when both the numerator and denominator are divided by 4.

Quiz 6: The Real Numbers and Their Representations

Solve the problem. -In a certain location, the highest temperature recorded was 100°F. The lowest temperature recorded was 121 degrees less than the highest. What was the lowest temperature?

Solve the problem. -The stock market gained 24 points on Tuesday and lost 11 points on Wednesday. It had closed on Monday at 2545 points. Where did the market close on Wednesday?

Solve the problem. -In four rounds of a card game, you get scores of 7, 5, -4, and 10. What is your final score?

Solve the problem. -A bike road race starts at an elevation of 870 feet and passes through 5 stages where the elevation changes by -438 ft, 574 ft, -134 ft, 514 ft, and 317 ft. At what elevation does the race end?

Solve the problem. -Nikki is fishing from a bank 14 feet above water level. In this location, the fish tend to feed at 46 feet below the surface. How long must Nikki's fish line be to reach the fish?

Choose the expression that is equivalent to the given rational number. - $\frac { 3 } { 8 }$

Solve the problem. -After one round in a card game, your score was -25 points. After the second round, your score was 5 points. How many points did you gain in the second game?

Write the fraction in lowest terms. - $\frac { 8 } { 12 }$

Choose the expression that is equivalent to the given rational number. - $\frac { 5 } { 6 }$

Solve the problem. -The temperature at the South pole was -39° at 8 am. At 3 pm, it was 10°. By how many degrees did the temperature rise?

Choose the expression that is equivalent to the given rational number. - $\frac { 7 } { 9 }$

Write the fraction in lowest terms. - $\frac { 51 } { 68 }$

Solve the problem. -Your bank account has $68 in it when you write checks for $47, $60, and $22. You then deposit $44 and $17. How much is in the account? Are you overdrawn?

Solve the problem. -A football team gained 35 yards on one play, lost 14 yards on another, and gained 24 yards on the last play of the first half. They had already gained 310 yards during the half. What was the total Yardage gain for the first half?

Choose the expression that is equivalent to the given rational number. - $\frac { 7 } { 11 }$