Question 1

Find a rational approximation, to the nearest tenth, for the radical expression. $2 \sqrt { 19 } - 5 \sqrt { 19 } + 8 \sqrt { 19 } - 3 \sqrt { 19 } - 9 \sqrt { 19 }$

Accepted Answer

A)  -26.3 
B)  -29.2 
C)  -30.7 
D)  -28.8 
E)  -30.5 
A)  -26.3 
B)  -29.2 
C)  -30.7 
D)  -28.8 
E)  -30.5

Question 2

Construct a decimal number by writing: 
9 in the tenths column, 
7 in the thousandths column, 
1 in the tens column, 
5 in the thousands column, 
9 in the hundreds column, 
8 in the hundredths column, 
4 in the ten thousandths column, 
5 in the ones column.

Accepted Answer

The answer of Construct a decimal number by writing: 
9...

Question 3

Write 4,504.5042 in expanded form.

Accepted Answer

A)  $400 + 50 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 100 } + \frac { 2 } { 1,000 }$ 
B)  $4,000 + 500 + 40 + \frac { 5 } { 10 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$ 
C)  $4,000 + 500 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 100 } + \frac { 2 } { 1,000 }$ 
D)  $4,000 + 500 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$ 
E)  $400 + 50 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$ 
F) $400 + 50 + 4 + \frac { 5 } { 100 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$ 
A)  $400 + 50 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 100 } + \frac { 2 } { 1,000 }$ 
B)  $4,000 + 500 + 40 + \frac { 5 } { 10 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$ 
C)  $4,000 + 500 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 100 } + \frac { 2 } { 1,000 }$ 
D)  $4,000 + 500 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$ 
E)  $400 + 50 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$ 
F) $400 + 50 + 4 + \frac { 5 } { 100 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$

Question 4

A bakery buys various types of nuts as ingredients for cookies. What is the cost of 23 pounds of peanuts if the price per pound of peanuts is $9.19?

Accepted Answer

A)  $211.37 
B)  $76.90 
C)  $21.14 
D)  $7.69 
E)  none of the above 
A)  $211.37 
B)  $76.90 
C)  $21.14 
D)  $7.69 
E)  none of the above

Question 5

Multiply: $109.3 \cdot 0.00001$

Accepted Answer

A)  0.001093 
B)  10,930,000 
C)  0.0001093 
D)  0.01093 
A)  0.001093 
B)  10,930,000 
C)  0.0001093 
D)  0.01093

Question 6

Write the fraction in decimal form. Round to the nearest hundredth. $\frac { 2 } { 9 }$

Accepted Answer

A)  0.22 
B)  0.2 
C)  0.222 
D)  0.12 
E)  0.32 
A)  0.22 
B)  0.2 
C)  0.222 
D)  0.12 
E)  0.32

Question 7

In the city map illustrated below, the streets form a grid. Each street is 0.24 miles apart. Find the distance of a trip from the airport to city hall.   
__________ miles

Accepted Answer

The answer of In the city map illustrated below, the...

Question 8

Find the following power. $( - 2.9 ) ^ { 2 }$

Accepted Answer

A)  -8.41 
B)  0.841 
C)  5.8 
D)  8.41 
E)  84.1 
A)  -8.41 
B)  0.841 
C)  5.8 
D)  8.41 
E)  84.1

Question 9

Evaluate the expression. $( - 0.6 ) ^ { 2 }$

Accepted Answer

A)  1.2 
B)  0.36 
C)  -1.2 
D)  -0.36 
A)  1.2 
B)  0.36 
C)  -1.2 
D)  -0.36

Question 10

Evaluate the square root without using a calculator. $- \sqrt { 0.16 }$

Accepted Answer

A)  -0.16 
B)  -0.4 
C)  0.4 
D)  -0.0016 
E)  0.16 
A)  -0.16 
B)  -0.4 
C)  0.4 
D)  -0.0016 
E)  0.16

Question 11

A hiker walks 2.6 miles an hour. Her trail is 20.8 miles long. Use the illustration given below to determine when the hiker will arrive.   
__________

Accepted Answer

The answer of A hiker walks 2.6 miles an hour....

Question 12

Estimate by rounding each factor to the nearest tenth: $33.47 \cdot 4.41$

Accepted Answer

A)  147.4 
B)  157.4 
C)  137.4 
D)  167.4 
A)  147.4 
B)  157.4 
C)  137.4 
D)  167.4

Question 13

To start a mobile dog-grooming service, a woman borrowed $2,400. If the loan was for 2 years and the amount of interest was $120, what simple interest rate was she charged?

Accepted Answer

A)  2.1% 
B)  2.5% 
C)  2.8% 
D)  2.3% 
E)  2.4% 
A)  2.1% 
B)  2.5% 
C)  2.8% 
D)  2.3% 
E)  2.4%

Question 14

Find each quotient: $175.172 \div 0.0001$

Accepted Answer

A)  1,751,720 
B)  0.0175172 
C)  175,172 
D)  0.00175172 
A)  1,751,720 
B)  0.0175172 
C)  175,172 
D)  0.00175172

Question 15

Graph 3.125 on a number line.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Divide. $( - 59.15 ) \div ( - 7 )$

Accepted Answer

A)  8.95 
B)  8.4 
C)  9.45 
D)  8.35 
E)  8.45 
A)  8.95 
B)  8.4 
C)  9.45 
D)  8.35 
E)  8.45

Question 17

Graph the given numbers on a number line. $2 \frac { 1 } { 4 } ; - 0.25 ; 0 . \overline { 3 } ; - 2.1 \overline { 6 }$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Divide and round the result to the nearest tenth. $- 5.427 \div 2.9$

Accepted Answer

The answer of Divide and round the result to the...

Question 19

Evaluate the following. $\sqrt { 81 }$

Accepted Answer

A)  11 
B)  9 
C)  $9 ^ { 2 }$ 
D)  10 
E)  8 
A)  11 
B)  9 
C)  $9 ^ { 2 }$ 
D)  10 
E)  8

Question 20

Divide. $\frac { 0.114 } { 0.57 }$

Accepted Answer

A)  0.1 
B)  0.7 
C)  0.2 
D)  1.2 
E)  0.3 
A)  0.1 
B)  0.7 
C)  0.2 
D)  1.2 
E)  0.3

Find a rational approximation, to the nearest tenth, for the radical expression. $2 \sqrt { 19 } - 5 \sqrt { 19 } + 8 \sqrt { 19 } - 3 \sqrt { 19 } - 9 \sqrt { 19 }$

Construct a decimal number by writing: 9 in the tenths column, 7 in the thousandths column, 1 in the tens column, 5 in the thousands column, 9 in the hundreds column, 8 in the hundredths column, 4 in the ten thousandths column, 5 in the ones column.

Write 4,504.5042 in expanded form.

A bakery buys various types of nuts as ingredients for cookies. What is the cost of 23 pounds of peanuts if the price per pound of peanuts is $9.19?

Multiply: $109.3 \cdot 0.00001$

Write the fraction in decimal form. Round to the nearest hundredth. $\frac { 2 } { 9 }$

In the city map illustrated below, the streets form a grid. Each street is 0.24 miles apart. Find the distance of a trip from the airport to city hall. __________ miles

Find the following power. $( - 2.9 ) ^ { 2 }$

Evaluate the expression. $( - 0.6 ) ^ { 2 }$

Evaluate the square root without using a calculator. $- \sqrt { 0.16 }$

A hiker walks 2.6 miles an hour. Her trail is 20.8 miles long. Use the illustration given below to determine when the hiker will arrive. __________

Estimate by rounding each factor to the nearest tenth: $33.47 \cdot 4.41$

To start a mobile dog-grooming service, a woman borrowed $2,400. If the loan was for 2 years and the amount of interest was $120, what simple interest rate was she charged?

Find each quotient: $175.172 \div 0.0001$

Graph 3.125 on a number line.

Divide. $( - 59.15 ) \div ( - 7 )$

Graph the given numbers on a number line. $2 \frac { 1 } { 4 } ; - 0.25 ; 0 . \overline { 3 } ; - 2.1 \overline { 6 }$

Divide and round the result to the nearest tenth. $- 5.427 \div 2.9$

Evaluate the following. $\sqrt { 81 }$

Divide. $\frac { 0.114 } { 0.57 }$

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An Introduction to Algebra

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Exam 4: Decimals

Find a rational approximation, to the nearest tenth, for the radical expression. 219−519+819−319−9192 \sqrt { 19 } - 5 \sqrt { 19 } + 8 \sqrt { 19 } - 3 \sqrt { 19 } - 9 \sqrt { 19 }219​−519​+819​−319​−919​

Construct a decimal number by writing: 9 in the tenths column, 7 in the thousandths column, 1 in the tens column, 5 in the thousands column, 9 in the hundreds column, 8 in the hundredths column, 4 in the ten thousandths column, 5 in the ones column.

Write 4,504.5042 in expanded form.

A bakery buys various types of nuts as ingredients for cookies. What is the cost of 23 pounds of peanuts if the price per pound of peanuts is $9.19?

Multiply: 109.3⋅0.00001109.3 \cdot 0.00001109.3⋅0.00001

Write the fraction in decimal form. Round to the nearest hundredth. 29\frac { 2 } { 9 }92​

In the city map illustrated below, the streets form a grid. Each street is 0.24 miles apart. Find the distance of a trip from the airport to city hall. __________ miles

Find the following power. (−2.9)2( - 2.9 ) ^ { 2 }(−2.9)2

Evaluate the expression. (−0.6)2( - 0.6 ) ^ { 2 }(−0.6)2

Evaluate the square root without using a calculator. −0.16- \sqrt { 0.16 }−0.16​

A hiker walks 2.6 miles an hour. Her trail is 20.8 miles long. Use the illustration given below to determine when the hiker will arrive. __________

Estimate by rounding each factor to the nearest tenth: 33.47⋅4.4133.47 \cdot 4.4133.47⋅4.41

To start a mobile dog-grooming service, a woman borrowed $2,400. If the loan was for 2 years and the amount of interest was $120, what simple interest rate was she charged?

Find each quotient: 175.172÷0.0001175.172 \div 0.0001175.172÷0.0001

Graph 3.125 on a number line.

Divide. (−59.15)÷(−7)( - 59.15 ) \div ( - 7 )(−59.15)÷(−7)

Graph the given numbers on a number line. 214;−0.25;0.3‾;−2.16‾2 \frac { 1 } { 4 } ; - 0.25 ; 0 . \overline { 3 } ; - 2.1 \overline { 6 }241​;−0.25;0.3;−2.16

Divide and round the result to the nearest tenth. −5.427÷2.9- 5.427 \div 2.9−5.427÷2.9

Evaluate the following. 81\sqrt { 81 }81​

Divide. 0.1140.57\frac { 0.114 } { 0.57 }0.570.114​

Whole Numbers

The Integers

Fractions and Mixed Numbers

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Algebra

An Introduction to Geometry

Filters

Find a rational approximation, to the nearest tenth, for the radical expression. $2 \sqrt { 19 } - 5 \sqrt { 19 } + 8 \sqrt { 19 } - 3 \sqrt { 19 } - 9 \sqrt { 19 }$

Multiply: $109.3 \cdot 0.00001$

Write the fraction in decimal form. Round to the nearest hundredth. $\frac { 2 } { 9 }$

Find the following power. $( - 2.9 ) ^ { 2 }$

Evaluate the expression. $( - 0.6 ) ^ { 2 }$

Evaluate the square root without using a calculator. $- \sqrt { 0.16 }$

Estimate by rounding each factor to the nearest tenth: $33.47 \cdot 4.41$

Find each quotient: $175.172 \div 0.0001$

Divide. $( - 59.15 ) \div ( - 7 )$

Graph the given numbers on a number line. $2 \frac { 1 } { 4 } ; - 0.25 ; 0 . \overline { 3 } ; - 2.1 \overline { 6 }$

Divide and round the result to the nearest tenth. $- 5.427 \div 2.9$

Evaluate the following. $\sqrt { 81 }$

Divide. $\frac { 0.114 } { 0.57 }$