Question 1

Perform the indicated operation:

Accepted Answer

C

Question 2

Jim has a $112,700 home with a $58,444 mortgage. He has $7,995 in savings and an additional $5,021 in a mutual fund account. He owes $9,822 on his car and $2,143 on his credit card. What is Jim's net worth?

Accepted Answer

To calculate Jim's net worth, we need to add up all of his assets and then subtract his liabilities.

Assets: 
Home value = $112,700 
Savings = $7,995 
Mutual fund = $5,021

Total assets = $125,716

Liabilities: 
Mortgage = $58,444 
Car loan = $9,822 
Credit card debt = $2,143

Total liabilities = $70,409

Net worth = Total assets - Total liabilities 
Net worth = $125,716 - $70,409 
Net worth = $55,307

Therefore, the best choice is C: $55,307.

Question 3

Evaluate: (-13)(-9)

Accepted Answer

When you multiply two negative numbers, the result is positive. Therefore, (-13)(-9) equals 117.

Question 4

Evaluate: 0 $\div$  5

Accepted Answer

0 divided by any number is 0.

Question 5

Translate the given sentence into an equation: "The product of n - 8 and n - 12 is 5."

Accepted Answer

The given sentence can be translated into the equation (n - 8)(n - 12) = 5, since "the product of" means multiplication, and "is" means equals. Option B is incorrect because it adds an extra factor of 5 which is not mentioned in the sentence. Option C is incorrect because it combines the terms on the left side of the equation without multiplication. Option D is incorrect because it adds the terms instead of multiplying them.

Question 6

Find the quotient:

Accepted Answer

The answer of Find the quotient: 
...

Question 7

Evaluate: (-7 + 6)(-11 - 9)

Accepted Answer

The answer of Evaluate: (-7 + 6)(-11 - 9)
...

Question 8

Evaluate: 3 - 7 · |13 - (3² - 1)|

Accepted Answer

First, solve the expression inside the absolute value: 3² - 1 = 3112 Then, substitute into the original expression: 3 - 7 · |13 - 3112| Next, solve the expression inside the absolute value: 13 - 3112 = -3099 (Note: the absolute value of a negative number is its positive equivalent) Substitute back into the expression: 3 - 7 · |-3099| = 3 - 7 · 3099 = 3 - 21693 = -21690 Therefore, the correct answer is (B) -32.

Question 9

Write the interval of real numbers in interval notation. The set of real numbers less than -6

Accepted Answer

The symbol "<" means "less than", so the set of real numbers less than -6 would be all numbers to the left of -6 on the number line. This excludes -6 itself, so the interval is (-∞, -6). The bracket cannot be used at -6 because it is not included in the interval.

Question 10

T.L. and Quina plan to add a 9-inch thick layer of gravel to their driveway. The driveway is 26 yards long and 3 yards wide. What volume of gravel in cubic yards is required? Assume that the driveway layer is in the shape of a rectangular slab.

Accepted Answer

The answer of T.L. and Quina plan to add a...

Question 11

Convert to a percent and a fraction: 0.59

Accepted Answer

The answer of Convert to a percent and a fraction:...

Question 12

Find the difference:

Accepted Answer

The difference between the given string and the options is in the 12th digit from the left. The given string has '09643ecfcb93' in that position, while option D has 'd13beef9619e', which differs by only one character. Therefore, option D is the correct choice.

Question 13

Evaluate: 21 + (-23)

Accepted Answer

To evaluate 21 + (-23), we essentially need to subtract 23 from 21. This gives us:

21 + (-23) = 21 - 23

By performing this subtraction, we get -2, which is the answer. Therefore, the best choice is C) -2.

Question 14

Determine the value of |-3|.

Accepted Answer

The absolute value of a number is its distance from zero on the number line. |-3| represents the distance that -3 is from 0, which is 3. So, the value of |-3| is 3.

Question 15

Translate the verbal expression into an algebraic expression: The difference of u and the square of c

Accepted Answer

The expression "the difference of u and the square of c" translates to u - c^2, which matches choice B.

Question 16

Write as a product without exponents: 8⁴

Accepted Answer

The string can be read as "8 sets of 1 unit of 1 product of 14 sets of 1 unit of 1 set of 1 product of 0 sets". This translates to 8x1x1x(14x1x1)x0, which simplifies to 8x1x1x14x1x1x0, which is equivalent to 8*8*8*8, so the correct answer is C.

Question 17

If a golf ball is dropped from a tall building, the distance it has fallen in feet is given by 16t², where t is the time in seconds since the ball was dropped. How far has the ball fallen after 4 seconds?

Accepted Answer

The distance fallen is calculated using the formula $16t^2$. Substituting $t = 4$ seconds into the formula gives $16(4)^2 = 16(16) = 256$ feet.

Question 18

Find the product:

Accepted Answer

The product is the result of multiplying two elements, 11ea9079_e303_0595_aec7_7ff0384d93d7 and TB3543_11. There is no clear pattern or logic to determine the product, as it appears to be a unique identifier. Therefore, the best choice is option B, which is the only option that provides a valid combination of the two elements.

Question 19

Evaluate the expression for b = 14 and c = 7: c² + 6b + 6

Accepted Answer

c² means perform the operations in order: - c + 1 = 8 - 12 / 8 = 1.5 - round up to 2 - 2 - 1 = 1 - 1 + 0 = 1 Substituting c and b into the expression, we get: 1 + 6(14) + 6 = 1 + 84 + 6 = 91 Therefore, the correct answer is choice B, 139.

Question 20

Perform the indicated operation:

Accepted Answer

The answer of Perform the indicated operation: 
...

Quiz 1: Section 1: Real Numbers and Their Properties

Perform the indicated operation:

Jim has a $112,700 home with a $58,444 mortgage. He has $7,995 in savings and an additional $5,021 in a mutual fund account. He owes $9,822 on his car and $2,143 on his credit card. What is Jim's net worth?

Evaluate: (-13) (-9)

Evaluate: 0 $\div$ 5

Translate the given sentence into an equation: "The product of n - 8 and n - 12 is 5."

Find the quotient:

Evaluate: (-7 + 6) (-11 - 9)

Evaluate: 3 - 7 · |13 - (3² - 1) |

Write the interval of real numbers in interval notation. The set of real numbers less than -6

T.L. and Quina plan to add a 9-inch thick layer of gravel to their driveway. The driveway is 26 yards long and 3 yards wide. What volume of gravel in cubic yards is required? Assume that the driveway layer is in the shape of a rectangular slab.

Convert to a percent and a fraction: 0.59

Find the difference:

Evaluate: 21 + (-23)

Determine the value of |-3|.

Translate the verbal expression into an algebraic expression: The difference of u and the square of c

Write as a product without exponents: 8⁴

If a golf ball is dropped from a tall building, the distance it has fallen in feet is given by 16t², where t is the time in seconds since the ball was dropped. How far has the ball fallen after 4 seconds?

Find the product:

Evaluate the expression for b = 14 and c = 7: c² + 6b + 6

Perform the indicated operation:

Quiz 1: Section 1: Real Numbers and Their Properties

Perform the indicated operation:

Jim has a $112,700 home with a $58,444 mortgage. He has $7,995 in savings and an additional $5,021 in a mutual fund account. He owes $9,822 on his car and $2,143 on his credit card. What is Jim's net worth?

Evaluate: (-13) (-9)

Evaluate: 0 ÷\div÷ 5

Translate the given sentence into an equation: "The product of n - 8 and n - 12 is 5."

Find the quotient:

Evaluate: (-7 + 6) (-11 - 9)

Evaluate: 3 - 7 · |13 - (32 - 1) |

Write the interval of real numbers in interval notation. The set of real numbers less than -6

T.L. and Quina plan to add a 9-inch thick layer of gravel to their driveway. The driveway is 26 yards long and 3 yards wide. What volume of gravel in cubic yards is required? Assume that the driveway layer is in the shape of a rectangular slab.

Convert to a percent and a fraction: 0.59

Find the difference:

Evaluate: 21 + (-23)

Determine the value of |-3|.

Translate the verbal expression into an algebraic expression: The difference of u and the square of c

Write as a product without exponents: 84

If a golf ball is dropped from a tall building, the distance it has fallen in feet is given by 16t2, where t is the time in seconds since the ball was dropped. How far has the ball fallen after 4 seconds?

Find the product:

Evaluate the expression for b = 14 and c = 7: c2 + 6b + 6

Perform the indicated operation:

Evaluate: 0 $\div$ 5

Evaluate: 3 - 7 · |13 - (3² - 1) |

Write as a product without exponents: 8⁴

If a golf ball is dropped from a tall building, the distance it has fallen in feet is given by 16t², where t is the time in seconds since the ball was dropped. How far has the ball fallen after 4 seconds?

Evaluate the expression for b = 14 and c = 7: c² + 6b + 6