Question 1

The fire escape stairway in an office building is shown in the illustration below. Each riser is $6 \frac { 1 } { 2 }$ inches high. If each floor is 105 inches high and the building is 65 stories tall, how many steps are there in the stairway?  
__________ steps

Accepted Answer

The answer of The fire escape stairway in an office...

Question 2

A mechanic likes to hang his wrenches above his tool bench in order of narrowest to widest. What is the proper order of the wrenches in the illustration?   in.,  in.,  in.,  in.

Accepted Answer

The answer of A mechanic likes to hang his wrenches...

Question 3

Evaluate the expression. $\left( 1 - \frac { 1 } { 4 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 4 } \right) ^ { 2 }$

Accepted Answer

A)  $2 \frac { 1 } { 8 }$ 
B)  $\frac { 1 } { 16 }$ 
C)  $3 \frac { 1 } { 8 }$ 
D)  $1 \frac { 1 } { 8 }$ 
E)  $1 \frac { 1 } { 16 }$

Question 4

Graph the given numbers on a number line. $- 2 \frac { 3 } { 4 } , - \frac { 1 } { 3 } , \frac { 3 } { 2 } , 4 \frac { 1 } { 2 }$

Accepted Answer

A)   
B)   
C)   
D)

Question 5

Use the division or the multiplication property of equality to solve $\frac { 927 } { y } = 309$ . What is the result? $y =$ __________

Accepted Answer

The answer of Use the division or the multiplication property...

Question 6

A sandwich shop sells a $\frac { 1 } { 2 }$ pound club sandwich, made up of turkey and ham. The owner buys the turkey in $1 \frac { 1 } { 2 }$ pound packages and the ham in $2 \frac { 5 } { 8 }$ pound packages. If he mixes a package of each of the meats together, how many sandwiches can he make from the mixture? 
Give your answer as mixed number, if necessary.

Accepted Answer

The answer of A sandwich shop sells a \(\frac {...

Question 7

Solve  $A = P + P r t$   for $A$ , given that $P = \$ 600$ , $r = 10 \frac { 1 } { 2 } \%$ , and $t = 5$  years.

Accepted Answer

A)  A = $965.00 
B)  A = $915.00 
C)  A = $315.00 
D)  A = $1,215.00 
E)  A = $815.00

Question 8

The number above the bar in a fraction is called the _____.

Accepted Answer

A)  denominator 
B)  reciprocal 
C)  divisor 
D)  integer 
E)  numerator

Question 9

If nylon is $ 11 per square yard, how much would the fabric cost to make a triangular sail with a base of 15 feet and a height of 24 feet?

Accepted Answer

A)  $220 
B)  $990 
C)  $440 
D)  $3,960 
E)  $1,980

Question 10

Find the reciprocal of the number. $\frac { 2 } { 7 }$

Accepted Answer

A)  $\frac { 7 } { 2 }$ 
B)  $\frac { 2 } { 7 }$ 
C)  $- \frac { 7 } { 2 }$ 
D)  $- \frac { 2 } { 7 }$ 
E)  $\frac { 1 } { 2 }$

Question 11

Find the area of the license plate.

Accepted Answer

The answer of Find the area of the license plate....

Question 12

A businesswoman's flight leaves Atlanta at 1 P.M. and arrives in New York at 3:45 P.M. Express the duration of the flight as a mixed number.

Accepted Answer

A)  $2 \frac { 3 } { 4 }$  hr. 
B)  $4 \frac { 3 } { 4 }$  hr. 
C)  $4 \frac { 1 } { 4 }$  hr. 
D)  $3 \frac { 3 } { 4 }$  hr. 
E)  $2 \frac { 1 } { 4 }$  hr.

Question 13

Complete the operation and simplify if necessary. $\frac { 14 } { 23 } - \frac { 10 } { 23 }$

Accepted Answer

A)  $4$ 
B)  $\frac { 24 } { 23 }$ 
C)  $\frac { 4 } { 23 }$ 
D)  $\frac { 5 } { 23 }$ 
E)  $\frac { 4 } { 19 }$

Question 14

Use the division or the multiplication property of equality to solve $\frac { y } { 6 } = 2$ . What is the result?

Accepted Answer

A)  12 
B)  13 
C)  3.00 
D)  0.33 
E)  1.33

Question 15

Find the sum. $2 \frac { 2 } { 5 } + 1 \frac { 1 } { 10 } + 6 \frac { 1 } { 15 }$

Accepted Answer

A)  $8 \frac { 17 } { 30 }$ 
B)  $11 \frac { 23 } { 30 }$ 
C)  $9 \frac { 17 } { 30 }$ 
D)  $10 \frac { 17 } { 25 }$ 
E)  $10 \frac { 23 } { 30 }$

Question 16

Insert one of the symbols , or = in the blank. $- 3 \frac { 1 } { 3 } \mid$ _____ $\frac { 10 } { 3 }$

Accepted Answer

A)  = 
B)  > 
C) .

Question 17

Find the difference. $19 \frac { 3 } { 11 } - 4 \frac { 1 } { 55 }$

Accepted Answer

A)  $15 \frac { 4 } { 11 }$ 
B)  $14 \frac { 16 } { 55 }$ 
C)  $15 \frac { 14 } { 55 }$ 
D)  $23 \frac { 14 } { 55 }$ 
E)  $15 \frac { 16 } { 55 }$

Question 18

Perform the operation. $\frac { 2 } { 3 } - \left( - \frac { 3 } { 5 } \right)$

Accepted Answer

A)  $\frac { 19 } { 15 }$ 
B)  $\frac { 2 } { 5 }$ 
C)  $\frac { 1 } { 15 }$ 
D)  $\frac { 2 } { 3 }$ 
E)  $- \frac { 1 } { 15 }$

Question 19

Find the difference. $261 \frac { 2 } { 11 } - 107 \frac { 1 } { 55 }$

Accepted Answer

A)  $261 \frac { 21 } { 55 }$ 
B)  $368 \frac { 1 } { 5 }$ 
C)  $368 \frac { 9 } { 55 }$ 
D)  $154 \frac { 9 } { 55 }$ 
E)  $154 \frac { 1 } { 5 }$

Question 20

Find the quotient. $\left( - \frac { 3 } { 7 } \right) \div \left( - \frac { 5 } { 28 } \right)$

Accepted Answer

A)  $\frac { 12 } { 35 }$ 
B)  $- \frac { 12 } { 5 }$ 
C)  $\frac { 12 } { 5 }$ 
D)  $- \frac { 4 } { 5 }$ 
E)  $\frac { 4 } { 5 }$

Exam 3: Fractions and Mixed Numbers

The fire escape stairway in an office building is shown in the illustration below. Each riser is 6126 \frac { 1 } { 2 }621​ inches high. If each floor is 105 inches high and the building is 65 stories tall, how many steps are there in the stairway? __________ steps

A mechanic likes to hang his wrenches above his tool bench in order of narrowest to widest. What is the proper order of the wrenches in the illustration? in., in., in., in.

Evaluate the expression. (1−14) 2+(1+14) 2\left( 1 - \frac { 1 } { 4 } \right) ^ { 2 } + \left( 1 + \frac { 1 } { 4 } \right) ^ { 2 }(1−41​) 2+(1+41​) 2

Graph the given numbers on a number line. −234,−13,32,412- 2 \frac { 3 } { 4 } , - \frac { 1 } { 3 } , \frac { 3 } { 2 } , 4 \frac { 1 } { 2 }−243​,−31​,23​,421​

Use the division or the multiplication property of equality to solve 927y=309\frac { 927 } { y } = 309y927​=309 . What is the result? y=y =y= __________

Solve A=P+PrtA = P + P r tA=P+Prt for AAA , given that P=$600P = \$ 600P=$600 , r=1012%r = 10 \frac { 1 } { 2 } \%r=1021​% , and t=5t = 5t=5 years.

The number above the bar in a fraction is called the _____.

If nylon is $ 11 per square yard, how much would the fabric cost to make a triangular sail with a base of 15 feet and a height of 24 feet?

Find the reciprocal of the number. 27\frac { 2 } { 7 }72​

Find the area of the license plate.

A businesswoman's flight leaves Atlanta at 1 P.M. and arrives in New York at 3:45 P.M. Express the duration of the flight as a mixed number.

Complete the operation and simplify if necessary. 1423−1023\frac { 14 } { 23 } - \frac { 10 } { 23 }2314​−2310​

Use the division or the multiplication property of equality to solve y6=2\frac { y } { 6 } = 26y​=2 . What is the result?

Find the sum. 225+1110+61152 \frac { 2 } { 5 } + 1 \frac { 1 } { 10 } + 6 \frac { 1 } { 15 }252​+1101​+6151​

Insert one of the symbols , or = in the blank. −313∣- 3 \frac { 1 } { 3 } \mid−331​∣ _____ 103\frac { 10 } { 3 }310​

Find the difference. 19311−415519 \frac { 3 } { 11 } - 4 \frac { 1 } { 55 }19113​−4551​

Perform the operation. 23−(−35) \frac { 2 } { 3 } - \left( - \frac { 3 } { 5 } \right) 32​−(−53​)

Find the difference. 261211−107155261 \frac { 2 } { 11 } - 107 \frac { 1 } { 55 }261112​−107551​

Find the quotient. (−37) ÷(−528) \left( - \frac { 3 } { 7 } \right) \div \left( - \frac { 5 } { 28 } \right) (−73​) ÷(−285​)