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?

Accepted Answer

A) -21°F 
B) 0°F 
C) 21°F 
D) -138°F

Question 2

Use McKay's theorem to find a rational number between the two given rational numbers.
-$\frac { 1 } { 2 } \text { and } \frac { 1 } { 11 }$

Accepted Answer

The answer of Use McKay's theorem to find a rational...

Question 3

$1.88 ( 3.55 + 54.8 - 4.82 )$

Accepted Answer

A)  $100.6364$ 
B)  $939.5628$ 
C)  $56.654$ 
D)  $118.7596$

Question 4

Solve the problem.
-The price of a printer was reduced from $400 to $180. What was the percent of the decrease?

Accepted Answer

A) 122.2% 
B) 55% 
C) 45% 
D) 60%

Question 5

Solve the problem.
-The pharmacist mixed 3.27 grams of one drug with 3.987 grams of another drug. What was the weight of the mixture?

Accepted Answer

A) 7.974 g 
B) 6.54 g 
C) 8.357 g 
D) 7.257 g

Question 6

Evaluate the expression.
-$\left( - 3 ^ { 4 } \right)$

Accepted Answer

A)  $- 81$ 
B)  81

Question 7

Write as a percent.
-0.00263

Accepted Answer

A) 0.000263% 
B) 0.0263% 
C) 0.1315% 
D) 0.263%

Question 8

Solve the problem.
-In a softball league, the first six games produced the following results: Daniel got 10 hits in 25 at-bats, and Tyler got 12 hits in 32 at-bats. Which player (if either)had the higher batting average?

Accepted Answer

A) Daniel 
B) Both had the same batting average 
C) Tyler

Question 9

Perform the indicated operations.
-$4 [ - 3 + 8 ( - 8 + 5 ) ]$

Accepted Answer

A)  $- 60$ 
B)  $- 64$ 
C)  $- 36$ 
D)  $- 108$

Question 10

Solve the problem.
-

Six posts are used to support a fence. Each post is $3 \frac { 1 } { 2 }$ inches wide and the posts are evenly spaced.
If the width of the fence is 387 inches, how much space is between each post?

Accepted Answer

A)  $63 \frac { 1 } { 2 }$ inches 
B)  $77 \frac { 2 } { 5 }$ inches 
C)  $64 \frac { 1 } { 2 }$ inches 
D)  $73 \frac { 1 } { 5 }$ inches

Question 11

In a school survey, students showed these preferences for instructional materials. Answer the question. 
-About how many students would you expect to prefer radio in a school of 500 students?

Accepted Answer

A) About 180 students 
B) About 25 students 
C) About 5 students 
D) About 90 students

Question 12

Perform the operation and give the answer as a fraction in lowest terms.
-$\left( - \frac { 20 } { 23 } \right) - \left( - \frac { 1 } { 3 } \right)$

Accepted Answer

A)  $- \frac { 37 } { 69 }$ 
B)  $- \frac { 69 } { 37 }$ 
C)  $- \frac { 5 } { 69 }$ 
D)  $- \frac { 185 } { 23 }$

Question 13

Perform the indicated operation.
-(-74)(27)

Accepted Answer

A) 1978 
B) -1978 
C) 1998 
D) -1998

Question 14

Decide whether the rational number yields a repeating or a terminating decimal.
-$\frac { 7 } { 18 }$

Accepted Answer

A) Repeating 
B) Terminating

Question 15

Perform the operation and give the answer as a fraction in lowest terms.
-$\left( \frac { 1 } { 25 } \right) - \left( - \frac { 1 } { 20 } \right)$

Accepted Answer

A)  $\frac { 9 } { 5 }$ 
B)  $\frac { 100 } { 9 }$ 
C)  $\frac { 9 } { 100 }$ 
D)  $\frac { 1 } { 250 }$

Question 16

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

Accepted Answer

A) 26 
B) 18 
C) -26 
D) -18

Question 17

Write the decimal as a fraction in lowest terms.
-$0.6$

Accepted Answer

A)  $\frac { 6 } { 11 }$ 
B)  $\frac { 3 } { 5 }$ 
C)  $\frac { 6 } { 10 }$ 
D)  $\frac { 2 } { 3 }$

Question 18

Solve the problem.
-All 37 of the students in a mathematics class attended class on Monday. On Tuesday only 28 students attended. What was the percent of the decrease?

Accepted Answer

A) 75.7% 
B) 32.1% 
C) 24.3% 
D) 67.9%

Question 19

Some real numbers are integers.

Accepted Answer

A) True 
 B)False

Question 20

In a school survey, students showed these preferences for instructional materials. Answer the question. 
-About how many students would you expect to prefer computers in a school of 750 students?

Accepted Answer

A) About 135 students 
B) About 270 students 
C) About 36 students 
D) About 150 students

Exam 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?

Use McKay's theorem to find a rational number between the two given rational numbers. - $\frac { 1 } { 2 } \text { and } \frac { 1 } { 11 }$

$1.88 ( 3.55 + 54.8 - 4.82 )$

Solve the problem. -The price of a printer was reduced from $400 to $180. What was the percent of the decrease?

Solve the problem. -The pharmacist mixed 3.27 grams of one drug with 3.987 grams of another drug. What was the weight of the mixture?

Evaluate the expression. - $\left( - 3 ^ { 4 } \right)$

Write as a percent. -0.00263

Solve the problem. -In a softball league, the first six games produced the following results: Daniel got 10 hits in 25 at-bats, and Tyler got 12 hits in 32 at-bats. Which player (if either) had the higher batting average?

Perform the indicated operations. - $4 [ - 3 + 8 ( - 8 + 5 ) ]$

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer radio in a school of 500 students?

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 20 } { 23 } \right) - \left( - \frac { 1 } { 3 } \right)$

Perform the indicated operation. -(-74) (27)

Decide whether the rational number yields a repeating or a terminating decimal. - $\frac { 7 } { 18 }$

Perform the operation and give the answer as a fraction in lowest terms. - $\left( \frac { 1 } { 25 } \right) - \left( - \frac { 1 } { 20 } \right)$

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

Write the decimal as a fraction in lowest terms. - $0.6$

Solve the problem. -All 37 of the students in a mathematics class attended class on Monday. On Tuesday only 28 students attended. What was the percent of the decrease?

Some real numbers are integers.

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer computers in a school of 750 students?

Exam 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?

Use McKay's theorem to find a rational number between the two given rational numbers. - 12 and 111\frac { 1 } { 2 } \text { and } \frac { 1 } { 11 }21​ and 111​

1.88(3.55+54.8−4.82) 1.88 ( 3.55 + 54.8 - 4.82 ) 1.88(3.55+54.8−4.82)

Solve the problem. -The price of a printer was reduced from $400 to $180. What was the percent of the decrease?

Solve the problem. -The pharmacist mixed 3.27 grams of one drug with 3.987 grams of another drug. What was the weight of the mixture?

Evaluate the expression. - (−34) \left( - 3 ^ { 4 } \right) (−34)

Write as a percent. -0.00263

Solve the problem. -In a softball league, the first six games produced the following results: Daniel got 10 hits in 25 at-bats, and Tyler got 12 hits in 32 at-bats. Which player (if either) had the higher batting average?

Perform the indicated operations. - 4[−3+8(−8+5) ]4 [ - 3 + 8 ( - 8 + 5 ) ]4[−3+8(−8+5) ]

Solve the problem. - Six posts are used to support a fence. Each post is 3123 \frac { 1 } { 2 }321​ inches wide and the posts are evenly spaced. If the width of the fence is 387 inches, how much space is between each post?

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer radio in a school of 500 students?

Perform the operation and give the answer as a fraction in lowest terms. - (−2023) −(−13) \left( - \frac { 20 } { 23 } \right) - \left( - \frac { 1 } { 3 } \right) (−2320​) −(−31​)

Perform the indicated operation. -(-74) (27)

Decide whether the rational number yields a repeating or a terminating decimal. - 718\frac { 7 } { 18 }187​

Perform the operation and give the answer as a fraction in lowest terms. - (125) −(−120) \left( \frac { 1 } { 25 } \right) - \left( - \frac { 1 } { 20 } \right) (251​) −(−201​)

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

Write the decimal as a fraction in lowest terms. - 0.60.60.6

Solve the problem. -All 37 of the students in a mathematics class attended class on Monday. On Tuesday only 28 students attended. What was the percent of the decrease?

Some real numbers are integers.

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer computers in a school of 750 students?

Use McKay's theorem to find a rational number between the two given rational numbers. - $\frac { 1 } { 2 } \text { and } \frac { 1 } { 11 }$

$1.88 ( 3.55 + 54.8 - 4.82 )$

Evaluate the expression. - $\left( - 3 ^ { 4 } \right)$

Perform the indicated operations. - $4 [ - 3 + 8 ( - 8 + 5 ) ]$

Perform the operation and give the answer as a fraction in lowest terms. - $\left( - \frac { 20 } { 23 } \right) - \left( - \frac { 1 } { 3 } \right)$

Decide whether the rational number yields a repeating or a terminating decimal. - $\frac { 7 } { 18 }$

Perform the operation and give the answer as a fraction in lowest terms. - $\left( \frac { 1 } { 25 } \right) - \left( - \frac { 1 } { 20 } \right)$

Write the decimal as a fraction in lowest terms. - $0.6$