Question 1

Perform the indicated operations  $4 ^ { 3 } - ( 4 + 6 ) \times \sqrt { 25 } =$

Accepted Answer

First, simplify the square root of 25 to 5. Then, perform the operation inside the parentheses: (4+6) = 10. Next, perform the multiplication step: 10 x 5 = 50. Finally, subtract 50 from 4^3 (which is 64): 64-50 = 14. Therefore, the answer is B.

Question 2

Evaluate $3 \left( 2.5 ^ { 2 } - 3 \right) - \sqrt { 2.56 } - ( 9 - 8 ) ^ { 2 }$ following the order of operations using a calculator.

Accepted Answer

The answer of Evaluate \(3 \left( 2.5 ^ { 2...

Question 3

Perform the indicated operations: $16.9 \times |10 ^ { 2 } + \sqrt { 49 } - 3 ^ { 3 } + 80 \div 4 =$

Accepted Answer

We start by simplifying inside the absolute value, square root, and division:

$|10^2+\sqrt{49}-3^3+80 \div 4|=|100+7-27+20|=|100-27+20+7|=|100-27+27|=100$

Now we simply multiply 16.9 by 100 to get:

$$16.9 \times 100 = 1690$$

Therefore, the answer is choice B.

Question 4

Do as indicated: $\$ 13,208 \times 42 - \$ 47 \times 10 ^ { 2 } =$

Accepted Answer

The answer of Do as indicated: \(\$ 13,208 \times 42...

Question 5

Evaluate:
 $3 ^ { 4 } + 2 ^ { 5 } \div \sqrt { 16 } - 5 ^ { 2 }$

Accepted Answer

The answer of Evaluate:
 \(3 ^ { 4 } +...

Question 6

Evaluate $6.2 ^ { 2 } - 2 \times 6 \div 2$ following the order of operations without using a calculator

Accepted Answer

First: perform the multiplication and division
6.2^2 - 2*6/2 = 6.2^2 - 2*3
Next: perform the exponentiation
6.2^2 = 38.44
Substitute back into the expression
38.44 - 2*3 = 32.44
Therefore, the answer is B)32.44

Question 7

Find the volume of the given figure.

Accepted Answer

The answer of Find the volume of the given figure.
...

Question 8

Which statement illustrates the correct use of the distributive property of multiplication?

Accepted Answer

The distributive property of multiplication states that a(b+c)=ab+ac. In this case, 5 is being multiplied by the sum of 11 and 9, so we can distribute the 5 to each term inside the parentheses: 5(11) + 5(9) = 55 + 45. Therefore, answer choice B is the correct use of the distributive property.

Question 9

A circle is milled on the end of a square rod. The length of a side of the square rod is 6.5 cm. What is the area of the end of the rod? Use the formula  $A = s ^ { 2 }$ (Round to the nearest hundredth.)

Accepted Answer

The answer of A circle is milled on the end...

Question 10

Evaluate $10 - 6 \div 2 \times 3 + \sqrt { 25 }$ following the order of operations without using a calculator. $10 - 6 \div 2 \times 3 + \sqrt { 25 }$

Accepted Answer

Following the order of operations (PEMDAS/BODMAS), first calculate the division and multiplication: $6 \div 2 = 3$, then $3 \times 3 = 9$. Next, calculate the square root: $\sqrt{25} = 5$. Finally, perform the addition and subtraction: $10 - 9 + 5 = 6$.

Question 11

Which statement illustrates the use of the commutative property of addition?

Accepted Answer

The commutative property of addition states that the order of the numbers being added can be changed without changing the sum. Choice C demonstrates this property by showing that the order of the addends within the parentheses can be changed without changing the final sum. The other choices demonstrate other properties such as the associative property of addition (A) and the commutative property of multiplication (B and D).

Question 12

Determine the volume of the given figure. Dimensions are in inches.

Accepted Answer

The answer of Determine the volume of the given figure....

Question 13

Find the mistake in the following problem. Then give the correct answer.
5 + 7(3 - 1)= 12(3 - 1)= 12(2)= 24

Accepted Answer

The answer of Find the mistake in the following problem....

Question 14

Evaluate $3 \left[ 4 ^ { 2 } + \sqrt { 4 } \right] - 40 \div 10$ following the order of operations using a calculator.

Accepted Answer

1) First, we need to solve the expression inside the brackets:  
 4^2 = 16 and  √4 = 2

So, 4^2 + √4 = 16 + 2 = 18

2) Then, we multiply 18 by 3:

3[4^2 + √4] = 3(18) = 54

3) Next, we need to evaluate 40 ÷ 10:

40 ÷ 10 = 4

4) Finally, we subtract 4 from 54:

54 - 4 = 50

Therefore, the answer is D) 50.

Question 15

Evaluate  $4^2 \times ( 9 - 4 ) \times 4$ following the order of operations without using a calculator.

Accepted Answer

First, solve the expression inside the parentheses: $9 - 4 = 5$. Then, follow the order of operations: $4^2 = 16$. Finally, multiply the results: $16 \times 5 \times 4 = 320$.

Question 16

Evaluate:
 $3 \left( 6 ^ { 2 } + 4 ^ { 4 } \right)$

Accepted Answer

The answer of Evaluate:
 \(3 \left( 6 ^ { 2...

Question 17

Evaluate:
 $12 \left( 2 ^ { 4 } + 5 ^ { 3 } \right)$

Accepted Answer

The answer of Evaluate:
 \(12 \left( 2 ^ { 4...

Question 18

Evaluate:  $\frac { 4.38 } { 0.14 } + ( 0.6813 ) ( 5.87 )$ Round to hundredths.

Accepted Answer

The answer of Evaluate:  \(\frac { 4.38 } {...

Question 19

Evaluate $36 \left( 4 ^ { 2 } - 6 \right)$ - 18.92 following the order of operations using a calculator.

Accepted Answer

First, calculate the exponent: $4^2 = 16$. Then, perform the operations inside the parentheses: $36(16 - 6) = 36 \times 10 = 360$. Finally, subtract 18.92 from 360 to get 341.08.

Question 20

Find the volume of the given figure. Round answer to the nearest hundredth of a millimeter.

Accepted Answer

The answer of Find the volume of the given figure....

Quiz 1: Review of Basic Concepts

Perform the indicated operations 43−(4+6) ×25=4 ^ { 3 } - ( 4 + 6 ) \times \sqrt { 25 } =43−(4+6) ×25​=

Evaluate 3(2.52−3) −2.56−(9−8) 23 \left( 2.5 ^ { 2 } - 3 \right) - \sqrt { 2.56 } - ( 9 - 8 ) ^ { 2 }3(2.52−3) −2.56​−(9−8) 2 following the order of operations using a calculator.

Perform the indicated operations: 16.9×∣102+49−33+80÷4=16.9 \times |10 ^ { 2 } + \sqrt { 49 } - 3 ^ { 3 } + 80 \div 4 =16.9×∣102+49​−33+80÷4=

Do as indicated: $13,208×42−$47×102=\$ 13,208 \times 42 - \$ 47 \times 10 ^ { 2 } =$13,208×42−$47×102=

Evaluate: 34+25÷16−523 ^ { 4 } + 2 ^ { 5 } \div \sqrt { 16 } - 5 ^ { 2 }34+25÷16​−52

Evaluate 6.22−2×6÷26.2 ^ { 2 } - 2 \times 6 \div 26.22−2×6÷2 following the order of operations without using a calculator

Find the volume of the given figure.

Which statement illustrates the correct use of the distributive property of multiplication?

A circle is milled on the end of a square rod. The length of a side of the square rod is 6.5 cm. What is the area of the end of the rod? Use the formula A=s2A = s ^ { 2 }A=s2 (Round to the nearest hundredth.)

Evaluate 10−6÷2×3+2510 - 6 \div 2 \times 3 + \sqrt { 25 }10−6÷2×3+25​ following the order of operations without using a calculator. 10−6÷2×3+2510 - 6 \div 2 \times 3 + \sqrt { 25 }10−6÷2×3+25​

Which statement illustrates the use of the commutative property of addition?

Determine the volume of the given figure. Dimensions are in inches.

Find the mistake in the following problem. Then give the correct answer. 5 + 7(3 - 1)= 12(3 - 1)= 12(2)= 24

Evaluate 3[42+4]−40÷103 \left[ 4 ^ { 2 } + \sqrt { 4 } \right] - 40 \div 103[42+4​]−40÷10 following the order of operations using a calculator.

Evaluate 42×(9−4) ×44^2 \times ( 9 - 4 ) \times 442×(9−4) ×4 following the order of operations without using a calculator.

Evaluate: 3(62+44)3 \left( 6 ^ { 2 } + 4 ^ { 4 } \right)3(62+44)

Evaluate: 12(24+53)12 \left( 2 ^ { 4 } + 5 ^ { 3 } \right)12(24+53)

Evaluate: 4.380.14+(0.6813)(5.87)\frac { 4.38 } { 0.14 } + ( 0.6813 ) ( 5.87 )0.144.38​+(0.6813)(5.87) Round to hundredths.

Evaluate 36(42−6) 36 \left( 4 ^ { 2 } - 6 \right) 36(42−6) - 18.92 following the order of operations using a calculator.

Find the volume of the given figure. Round answer to the nearest hundredth of a millimeter.

Perform the indicated operations $4 ^ { 3 } - ( 4 + 6 ) \times \sqrt { 25 } =$

Evaluate $3 \left( 2.5 ^ { 2 } - 3 \right) - \sqrt { 2.56 } - ( 9 - 8 ) ^ { 2 }$ following the order of operations using a calculator.

Perform the indicated operations: $16.9 \times |10 ^ { 2 } + \sqrt { 49 } - 3 ^ { 3 } + 80 \div 4 =$

Do as indicated: $\$ 13,208 \times 42 - \$ 47 \times 10 ^ { 2 } =$

Evaluate: $3 ^ { 4 } + 2 ^ { 5 } \div \sqrt { 16 } - 5 ^ { 2 }$

Evaluate $6.2 ^ { 2 } - 2 \times 6 \div 2$ following the order of operations without using a calculator

A circle is milled on the end of a square rod. The length of a side of the square rod is 6.5 cm. What is the area of the end of the rod? Use the formula $A = s ^ { 2 }$ (Round to the nearest hundredth.)

Evaluate $10 - 6 \div 2 \times 3 + \sqrt { 25 }$ following the order of operations without using a calculator. $10 - 6 \div 2 \times 3 + \sqrt { 25 }$

Evaluate $3 \left[ 4 ^ { 2 } + \sqrt { 4 } \right] - 40 \div 10$ following the order of operations using a calculator.

Evaluate $4^2 \times ( 9 - 4 ) \times 4$ following the order of operations without using a calculator.

Evaluate: $3 \left( 6 ^ { 2 } + 4 ^ { 4 } \right)$

Evaluate: $12 \left( 2 ^ { 4 } + 5 ^ { 3 } \right)$

Evaluate: $\frac { 4.38 } { 0.14 } + ( 0.6813 ) ( 5.87 )$ Round to hundredths.

Evaluate $36 \left( 4 ^ { 2 } - 6 \right)$ - 18.92 following the order of operations using a calculator.