Question 1

Find the following product and express your answer in simplest radical form. $( 3 \sqrt { 7 } - 4 \sqrt { 21 } ) ( 5 \sqrt { 27 } + \sqrt { 21 } )$

Accepted Answer

A)  $- 45 \sqrt { 21 } - 21 \sqrt { 3 } + 180 \sqrt { 7 } + 84$ 
B)  $45 \sqrt { 21 } - 21 \sqrt { 7 } - 180 \sqrt { 3 } + 84$ 
C)  $15 \sqrt { 3 } + 3 \sqrt { 7 } - 84$ 
D)  $45 \sqrt { 21 } + 21 \sqrt { 3 } - 180 \sqrt { 7 } - 84 \sqrt { 27 }$ 
E)  $45 \sqrt { 21 } + 21 \sqrt { 3 } - 180 \sqrt { 7 } - 84$ 
A)  $- 45 \sqrt { 21 } - 21 \sqrt { 3 } + 180 \sqrt { 7 } + 84$ 
B)  $45 \sqrt { 21 } - 21 \sqrt { 7 } - 180 \sqrt { 3 } + 84$ 
C)  $15 \sqrt { 3 } + 3 \sqrt { 7 } - 84$ 
D)  $45 \sqrt { 21 } + 21 \sqrt { 3 } - 180 \sqrt { 7 } - 84 \sqrt { 27 }$ 
E)  $45 \sqrt { 21 } + 21 \sqrt { 3 } - 180 \sqrt { 7 } - 84$

Question 2

Add the following numbers. $\begin{array} { r } 
44.9 \
+46.7
\end{array}$

Accepted Answer

A)  87.6 
B)  91.6 
C)  92.6 
D)  91.7 
E)  91.4 
A)  87.6 
B)  91.6 
C)  92.6 
D)  91.7 
E)  91.4

Question 3

Evaluate the following expression and round the result to the nearest hundredth. $\frac { ( 0.7 ) ^ { 2 } - ( 0.3 ) ^ { 2 } } { 0.473 + 0.4 }$

Accepted Answer

A)  0.48 
B)  0.61 
C)  0.46 
D)  0.97 
E)  0.31 
A)  0.48 
B)  0.61 
C)  0.46 
D)  0.97 
E)  0.31

Question 4

A rectangular parking lot is 251.5 feet long and 178.5 feet wide. A 55-gallon drum of asphalt sealer covers 4,000 square feet and costs $96.50. Find the cost to seal the parking lot. (Sealer can only be purchased in full drums.)

Accepted Answer

A)  $772 
B)  $1,108 
C)  $965 
D)  $1,148 
E)  $1,158 
A)  $772 
B)  $1,108 
C)  $965 
D)  $1,148 
E)  $1,158

Question 5

Divide and round your answer to the nearest hundredth.

Accepted Answer

A)  13.88 
B)  14.48 
C)  13.98 
D)  14.08 
E)  14.98 
A)  13.88 
B)  14.48 
C)  13.98 
D)  14.08 
E)  14.98

Question 6

Simplify the expression by using the distributive property. $8 \sqrt { 13 } + 4 \sqrt { 13 }$

Accepted Answer

A)  $47$ 
B)  $32 \sqrt { 13 }$ 
C)  $12 \sqrt { 13 }$ 
D)  $4 \sqrt { 13 }$ 
E)  $11 \sqrt { 13 }$ 
A)  $47$ 
B)  $32 \sqrt { 13 }$ 
C)  $12 \sqrt { 13 }$ 
D)  $4 \sqrt { 13 }$ 
E)  $11 \sqrt { 13 }$

Question 7

Evaluate the following expression and round the result to the nearest hundredth. $\frac { ( 0.8 ) ^ { 2 } - ( 0.1 ) ^ { 2 } } { 0.485 + 0.9 }$

Accepted Answer

A)  0.47 
B)  0.60 
C)  0.45 
D)  0.96 
E)  0.30 
A)  0.47 
B)  0.60 
C)  0.45 
D)  0.96 
E)  0.30

Question 8

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 9

Add. $- 20.71 + ( - 26.4 ) =$ $\underline {  \quad\quad\quad\quad\quad  }$

Accepted Answer

A)  -47.11 
B)  -47.01 
C)  -47.31 
D)  -45.61 
E)  -47.1 
A)  -47.11 
B)  -47.01 
C)  -47.31 
D)  -45.61 
E)  -47.1

Question 10

Write the quotient as the quotient of two radicals and simplify. $\sqrt { \frac { 121 } { 64 } }$

Accepted Answer

A)  $\frac { 7 } { 8 }$ 
B)  $\frac { 8 } { 7 }$ 
C)  $\frac { 11 } { 8 }$ 
D)  $\frac { 8 } { 11 }$ 
E)  $\frac { 121 } { 8 }$ 
A)  $\frac { 7 } { 8 }$ 
B)  $\frac { 8 } { 7 }$ 
C)  $\frac { 11 } { 8 }$ 
D)  $\frac { 8 } { 11 }$ 
E)  $\frac { 121 } { 8 }$

Question 11

In tryouts for the Olympics, a speed skater had times of 44.81, 43.36, 42.52, and 42.28 seconds. Find the average time. ( Hint: Add the numbers and divide by 4.)

Accepted Answer

A)  42.52 sec 
B)  44.24 sec 
C)  172.96 sec 
D)  57.65 sec 
E)  43.24 sec 
A)  42.52 sec 
B)  44.24 sec 
C)  172.96 sec 
D)  57.65 sec 
E)  43.24 sec

Question 12

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 13

Subtract. $48 - 24.009$

Accepted Answer

A)  24.991 
B)  24.001 
C)  23.991 
D)  23.989 
E)  23.891 
A)  24.991 
B)  24.001 
C)  23.991 
D)  23.989 
E)  23.891

Question 14

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 15

Perform the following division mentally. $17.195 \div 1,000$

Accepted Answer

The answer of Perform the following division mentally. \(17.195 \div...

Question 16

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 17

The following bar chart shows the six most-watched television shows of all time: "Mash," "Dallas," "Cheers," "The Day After," "Roots," and "Seinfeld." What was the combined total audience of all six shows?

Accepted Answer

A)  499.4   million 
B)  497.4   million 
C)  497.5   million 
D)  487.4   million 
E)  486.3   million 
A)  499.4   million 
B)  497.4   million 
C)  497.5   million 
D)  487.4   million 
E)  486.3   million

Question 18

Evaluate the following expression. $( 3.3 + 3.1 ) ( - 9.9 - 2.9 )$

Accepted Answer

A)  -81.92 
B)  -2.56 
C)  -44.8 
D)  -819.2 
E)  2.56 
A)  -81.92 
B)  -2.56 
C)  -44.8 
D)  -819.2 
E)  2.56

Question 19

Perform the operation. $235.197 \cdot 247.03617$

Accepted Answer

A)  58,102.17 
B)  58,101.17 
C)  58,102.27 
D)  58,102.42 
E)  58,102.16 
A)  58,102.17 
B)  58,101.17 
C)  58,102.27 
D)  58,102.42 
E)  58,102.16

Question 20

Write the fraction in decimal form. $- \frac { 2 } { 125 }$

Accepted Answer

A)  -0.00016 
B)  0.00016 
C)  -0.2 
D)  0.016 
E)  -0.016 
A)  -0.00016 
B)  0.00016 
C)  -0.2 
D)  0.016 
E)  -0.016

Find the following product and express your answer in simplest radical form. $( 3 \sqrt { 7 } - 4 \sqrt { 21 } ) ( 5 \sqrt { 27 } + \sqrt { 21 } )$

Add the following numbers. 44.9 +46.7

Evaluate the following expression and round the result to the nearest hundredth. $\frac { ( 0.7 ) ^ { 2 } - ( 0.3 ) ^ { 2 } } { 0.473 + 0.4 }$

A rectangular parking lot is 251.5 feet long and 178.5 feet wide. A 55-gallon drum of asphalt sealer covers 4,000 square feet and costs $96.50. Find the cost to seal the parking lot. (Sealer can only be purchased in full drums.)

Divide and round your answer to the nearest hundredth.

Simplify the expression by using the distributive property. $8 \sqrt { 13 } + 4 \sqrt { 13 }$

Evaluate the following expression and round the result to the nearest hundredth. $\frac { ( 0.8 ) ^ { 2 } - ( 0.1 ) ^ { 2 } } { 0.485 + 0.9 }$

Evaluate the following. $\sqrt { 81 }$

Add. $- 20.71 + ( - 26.4 ) =$ $\underline { \quad\quad\quad\quad\quad }$

Write the quotient as the quotient of two radicals and simplify. $\sqrt { \frac { 121 } { 64 } }$

In tryouts for the Olympics, a speed skater had times of 44.81, 43.36, 42.52, and 42.28 seconds. Find the average time. ( Hint: Add the numbers and divide by 4.)

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

Subtract. $48 - 24.009$

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

Perform the following division mentally. $17.195 \div 1,000$

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?

The following bar chart shows the six most-watched television shows of all time: "Mash," "Dallas," "Cheers," "The Day After," "Roots," and "Seinfeld." What was the combined total audience of all six shows?

Evaluate the following expression. $( 3.3 + 3.1 ) ( - 9.9 - 2.9 )$

Perform the operation. $235.197 \cdot 247.03617$

Write the fraction in decimal form. $- \frac { 2 } { 125 }$

Whole Numbers

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Ratio, Proportion, and Measurement

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An Introduction to Algebra

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Exam 4: Decimals

Find the following product and express your answer in simplest radical form. (37−421)(527+21)( 3 \sqrt { 7 } - 4 \sqrt { 21 } ) ( 5 \sqrt { 27 } + \sqrt { 21 } )(37​−421​)(527​+21​)

Add the following numbers. 44.9 +46.7

Evaluate the following expression and round the result to the nearest hundredth. (0.7)2−(0.3)20.473+0.4\frac { ( 0.7 ) ^ { 2 } - ( 0.3 ) ^ { 2 } } { 0.473 + 0.4 }0.473+0.4(0.7)2−(0.3)2​

A rectangular parking lot is 251.5 feet long and 178.5 feet wide. A 55-gallon drum of asphalt sealer covers 4,000 square feet and costs $96.50. Find the cost to seal the parking lot. (Sealer can only be purchased in full drums.)

Divide and round your answer to the nearest hundredth.

Simplify the expression by using the distributive property. 813+4138 \sqrt { 13 } + 4 \sqrt { 13 }813​+413​

Evaluate the following expression and round the result to the nearest hundredth. (0.8)2−(0.1)20.485+0.9\frac { ( 0.8 ) ^ { 2 } - ( 0.1 ) ^ { 2 } } { 0.485 + 0.9 }0.485+0.9(0.8)2−(0.1)2​

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

Add. −20.71+(−26.4)=- 20.71 + ( - 26.4 ) =−20.71+(−26.4)= ‾\underline { \quad\quad\quad\quad\quad }​

Write the quotient as the quotient of two radicals and simplify. 12164\sqrt { \frac { 121 } { 64 } }64121​​

In tryouts for the Olympics, a speed skater had times of 44.81, 43.36, 42.52, and 42.28 seconds. Find the average time. ( Hint: Add the numbers and divide by 4.)

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

Subtract. 48−24.00948 - 24.00948−24.009

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

Perform the following division mentally. 17.195÷1,00017.195 \div 1,00017.195÷1,000

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?

The following bar chart shows the six most-watched television shows of all time: "Mash," "Dallas," "Cheers," "The Day After," "Roots," and "Seinfeld." What was the combined total audience of all six shows?

Evaluate the following expression. (3.3+3.1)(−9.9−2.9)( 3.3 + 3.1 ) ( - 9.9 - 2.9 )(3.3+3.1)(−9.9−2.9)

Perform the operation. 235.197⋅247.03617235.197 \cdot 247.03617235.197⋅247.03617

Write the fraction in decimal form. −2125- \frac { 2 } { 125 }−1252​

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 the following product and express your answer in simplest radical form. $( 3 \sqrt { 7 } - 4 \sqrt { 21 } ) ( 5 \sqrt { 27 } + \sqrt { 21 } )$

Evaluate the following expression and round the result to the nearest hundredth. $\frac { ( 0.7 ) ^ { 2 } - ( 0.3 ) ^ { 2 } } { 0.473 + 0.4 }$

Simplify the expression by using the distributive property. $8 \sqrt { 13 } + 4 \sqrt { 13 }$

Evaluate the following expression and round the result to the nearest hundredth. $\frac { ( 0.8 ) ^ { 2 } - ( 0.1 ) ^ { 2 } } { 0.485 + 0.9 }$

Evaluate the following. $\sqrt { 81 }$

Add. $- 20.71 + ( - 26.4 ) =$ $\underline { \quad\quad\quad\quad\quad }$

Write the quotient as the quotient of two radicals and simplify. $\sqrt { \frac { 121 } { 64 } }$

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

Subtract. $48 - 24.009$

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

Perform the following division mentally. $17.195 \div 1,000$

Evaluate the following expression. $( 3.3 + 3.1 ) ( - 9.9 - 2.9 )$

Perform the operation. $235.197 \cdot 247.03617$

Write the fraction in decimal form. $- \frac { 2 } { 125 }$