Question 1

Perform the indicated operation: 
A) 
B) 
C) 
D)

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?
A) $45,265
B) $74,951
C) $55,307
D) $39,317

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)
A) -117
B) 104
C) 117
D) 108

Accepted Answer

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

Question 4

Evaluate: 0 $\div$  5
A) 0
B) 1
C) Undefined
D) 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."
A) (n - 8)(n - 12) = 5
B) (n - 8)(n - 12)(5)
C) n - 8n - 12 = 5
D) (n - 8) + (n - 12) = 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: 
A) 
B) 
C) 
D) 5

Accepted Answer

The answer of Find the quotient: 
A) 
B) 
C) 
D)...

Question 7

Evaluate: (-7 + 6)(-11 - 9)
A) 20
B) -82
C) 2
D) 260

Accepted Answer

The answer of Evaluate: (-7 + 6)(-11 - 9)
A) 20
B)...

Question 8

Evaluate: 3 - 7 · |13 - (3² - 1)| A) -144 B) -32 C) -74 D) 38

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
A) [-6, ∞)
B) (-∞, -6]
C) (-∞, -6)
D) (-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. A) 234 yd³ B) yd³ C) 702 yd³ D) yd³

Accepted Answer

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

Question 11

Convert to a percent and a fraction: 0.59
A) 0.59%, 
B) 0.59%, 
C) 59%, 
D) 59%,

Accepted Answer

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

Question 12

Find the difference: 
A) 
B) 
C) 
D)

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)
A) -44
B) 44
C) -2
D) 2

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|.
A) -3 or 3
B) 3
C) The expression is undefined.
D) -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 A) -u·c² B) u - c² C) (u - c)² D) u² - 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 A) 8 + 8 + 8 + 8 B) 4·8 C) 8·8·8·8 D) None of these.

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? A) 256 ft B) 80 ft C) 144 ft D) 64 ft

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: 
A) 2
B) 
C) 
D) None of these.

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 A) -41 B) 139 C) 97 D) -29

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: 
A) 
B) 
C) 
D)

Accepted Answer

The answer of Perform the indicated operation: 
A) 
B) 
C)...

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