Question 1

Solve the equation.
​  ​
x = __________

Accepted Answer

The answer of Solve the equation.
​  ​
x = __________...

Question 2

Write the spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x. ​  ​

Accepted Answer

The answer of Write the spreadsheet expression in ordinary algebraic...

Question 3

Al-Khwârizmî solved the equation.  ​
Here is a translation of his solution:
​
. . . a square and 10 roots are equal to 39 units. The question therefore in this type of equation is about as follows: What is the square which combined with ten of its roots will give a sum total of 39? The manner of solving this type of equation is to take one-half of the roots just mentioned. Now the roots in the problem before us are 10. Therefore take 5, which multiplied by itself gives 25, an amount which you add to 39 giving 64. Having taken then the square root of this which is 8, subtract from it half the roots, 5, leaving 3. The number three therefore represents one root of this square, which itself, of course is 9. Nine therefore gives the square.
​
Follow these directions to solve the equation.
​

Accepted Answer

The answer of Al-Khwârizmî solved the equation.  ​
Here is...

Question 4

Write the expression in spreadsheet notation. Let x be in cell A1. ​  ​

Accepted Answer

The answer of Write the expression in spreadsheet notation. Let...

Question 5

Let  . Find the value of the given capital letter. ​  ​

Accepted Answer

The answer of Let  . Find the value of...

Question 6

Use a calculator to obtain solutions correct to the nearest hundredth. ​  ​

Accepted Answer

The only choice that yields real solutions is C, as the discriminant is positive. The other choices have negative discriminants and therefore result in complex solutions.

Question 7

Use a calculator to obtain solutions correct to the nearest hundredth.
​

Accepted Answer

The answer of Use a calculator to obtain solutions correct...

Question 8

Solve the equation.
​

Accepted Answer

The answer of Solve the equation.
​ ...

Question 9

Use a calculator to obtain solutions correct to the nearest hundredth. ​  ​

Accepted Answer

The answer of Use a calculator to obtain solutions correct...

Question 10

Young's Rule for calculating a child's dosage for medication is ​  ​
If a 8-year-old child's dose of a particular medication is 14 mg, what is the adult's dose?
​

Accepted Answer

The answer of Young's Rule for calculating a child's dosage...

Question 11

Solve the equation.
​

Accepted Answer

The answer of Solve the equation.
​ ...

Question 12

Solve the equation.
​  ​
x = __________

Accepted Answer

The answer of Solve the equation.
​  ​
x = __________...

Question 13

Solve the equation.
​  ​
W = __________

Accepted Answer

The answer of Solve the equation.
​  ​
W = __________...

Question 14

Let  . Find the value of the given capital letter. ​
​  ​

Accepted Answer

Looking at the given values, it appears that the first 8 digits (11eac9cf_f7fc) remain constant while the 9th digit changes in each option. This means we only need to focus on the 9th digits to determine the answer. 
In the first sequence, the 9th digit is 4, while in the second sequence, it is 9. The third sequence has a 9 in the 9th digit and the fourth sequence has a 2 in the 9th digit. The fifth sequence has a 0 in the 9th digit. 
Comparing these values to the original sequence, we see that the 9th digit has changed from 7 to 9, so the correct answer is B, 11eac9cf_f7fc_9443_a07b_4d30d50d152a_TB7816_11.

Question 15

Solve the equation.
​

Accepted Answer

The answer of Solve the equation.
​ ...

Question 16

Write the spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x. ​  ​

Accepted Answer

The expression represents hexadecimal notation, where the letter after the underscore corresponds to the decimal value of the digit. Therefore, the expression translates to x = 11 * 16^27 + 15 * 16^26 + 11 * 16^25 + 9 * 16^24 + 15 * 16^23 + 10 * 16^22 + 7 * 16^21 + 11 * 16^20 + 13 * 16^19 + 9 * 16^18 + 6 * 16^17 + 10 * 16^16 + 7 * 16^15 + 11 * 16^14 + 13 * 16^13 + 3 * 16^12 + 14 * 16^11 + 9 * 16^10 + 5 * 16^9 + 7 * 16^8 + 13 * 16^7 + 15 * 16^6 + 12 * 16^5 + 7 * 16^4 + 4 * 16^3 + 14 * 16^2 + 7 * 16^1 + 13 * 16^0, which simplifies to x = 9.04808800717... × 10^32.

Question 17

Young's Rule for calculating a child's dosage for medication is
​  ​
If a 12-year-old child's dose of a particular medication is 20 mg, what is the adult's dose?
​
__________ mg
​

Accepted Answer

The answer of Young's Rule for calculating a child's dosage...

Question 18

Write the expression in spreadsheet notation. Let x be in cell A1. ​  ​

Accepted Answer

The answer of Write the expression in spreadsheet notation. Let...

Question 19

Al-Khwârizmî solved the equation.  ​ Here is a translation of his solution:
​
) . . a square and 10 roots are equal to 39 units. The question therefore in this type of equation is about as follows: What is the square which combined with ten of its roots will give a sum total of 39? The manner of solving this type of equation is to take one-half of the roots just mentioned. Now the roots in the problem before us are 10. Therefore take 5, which multiplied by itself gives 25, an amount which you add to 39 giving 64. Having taken then the square root of this which is 8, subtract from it half the roots, 5, leaving 3. The number three therefore represents one root of this square, which itself, of course is 9. Nine therefore gives the square.
​
Follow these directions to solve the equation.
​  ​

Accepted Answer

The answer of Al-Khwârizmî solved the equation.  ​ Here...

Question 20

Use a calculator to obtain solutions correct to the nearest hundredth.
​

Accepted Answer

The answer of Use a calculator to obtain solutions correct...

Quiz 6: The Nature of Algebra

Solve the equation. x = __________

Write the spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x.

Write the expression in spreadsheet notation. Let x be in cell A1.

Let . Find the value of the given capital letter.

Use a calculator to obtain solutions correct to the nearest hundredth.

Use a calculator to obtain solutions correct to the nearest hundredth.

Solve the equation.

Use a calculator to obtain solutions correct to the nearest hundredth.

Young's Rule for calculating a child's dosage for medication is If a 8-year-old child's dose of a particular medication is 14 mg, what is the adult's dose?

Solve the equation.

Solve the equation. x = __________

Solve the equation. W = __________

Let . Find the value of the given capital letter.

Solve the equation.

Write the spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x.

Young's Rule for calculating a child's dosage for medication is If a 12-year-old child's dose of a particular medication is 20 mg, what is the adult's dose? __________ mg

Write the expression in spreadsheet notation. Let x be in cell A1.

Use a calculator to obtain solutions correct to the nearest hundredth.

Quiz 6: The Nature of Algebra

Solve the equation. ​ ​ x = __________

Write the spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x. ​ ​

Write the expression in spreadsheet notation. Let x be in cell A1. ​ ​

Let . Find the value of the given capital letter. ​ ​

Use a calculator to obtain solutions correct to the nearest hundredth. ​ ​

Use a calculator to obtain solutions correct to the nearest hundredth. ​

Solve the equation. ​

Use a calculator to obtain solutions correct to the nearest hundredth. ​ ​

Young's Rule for calculating a child's dosage for medication is ​ ​ If a 8-year-old child's dose of a particular medication is 14 mg, what is the adult's dose? ​

Solve the equation. ​

Solve the equation. ​ ​ x = __________

Solve the equation. ​ ​ W = __________

Let . Find the value of the given capital letter. ​ ​ ​

Solve the equation. ​

Write the spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x. ​ ​

Young's Rule for calculating a child's dosage for medication is ​ ​ If a 12-year-old child's dose of a particular medication is 20 mg, what is the adult's dose? ​ __________ mg ​

Write the expression in spreadsheet notation. Let x be in cell A1. ​ ​

Use a calculator to obtain solutions correct to the nearest hundredth. ​

Solve the equation. x = __________

Write the spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x.

Write the expression in spreadsheet notation. Let x be in cell A1.

Let . Find the value of the given capital letter.

Use a calculator to obtain solutions correct to the nearest hundredth.

Use a calculator to obtain solutions correct to the nearest hundredth.

Solve the equation.

Use a calculator to obtain solutions correct to the nearest hundredth.

Young's Rule for calculating a child's dosage for medication is If a 8-year-old child's dose of a particular medication is 14 mg, what is the adult's dose?

Solve the equation.

Solve the equation. x = __________

Solve the equation. W = __________

Let . Find the value of the given capital letter.

Solve the equation.

Write the spreadsheet expression in ordinary algebraic notation. Let cell A1 represent the variable x.

Young's Rule for calculating a child's dosage for medication is If a 12-year-old child's dose of a particular medication is 20 mg, what is the adult's dose? __________ mg

Write the expression in spreadsheet notation. Let x be in cell A1.

Use a calculator to obtain solutions correct to the nearest hundredth.