Question 1

Simplify: -10(s - 2) - 4(-s - 11)

Accepted Answer

Distribute the terms: -10(s - 2) becomes -10s + 20 and -4(-s - 11) becomes 4s + 44. Combine like terms: -10s + 4s + 20 + 44 = -6s + 64.

Question 2

Simplify:

Accepted Answer

The answer of Simplify: 
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Question 3

Use the appropriate properties to evaluate 227²(4·5 - 20).

Accepted Answer

The expression simplifies to 0 because 4·5 - 20 = 20 - 20 = 0, and any number to the power of 0 is 1, making the entire expression equal to 0.

Question 4

Use the distributive property to factor the expression. 24p - 36

Accepted Answer

The greatest common factor of 24 and 36 is 12, so factoring out 12 from each term gives 12(2p - 3).

Question 5

A large industrial plant produces one ton of concrete every 0.80 minutes. At what rate is the facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour.

Accepted Answer

The facility produces 1 ton of concrete every 0.80 minutes. To find the rate in tons per hour, divide 60 minutes by 0.80 minutes to find the number of tons produced in an hour: 60 / 0.80 = 75 tons per hour.

Question 6

Use the commutative and associative properties of multiplication and exponential notation to rewrite the given product. r²(r·10)(rs)

Accepted Answer

Using the commutative and associative properties, rearrange and group the terms: r^2 * r * rs * 10 = r^(2+1+1) * s * 10 = 10r^4s.

Question 7

Combine like terms if possible: 8m - (-5m)

Accepted Answer

In order to combine like terms, we need to distribute the negative sign to the terms inside the parentheses:
8m - (-5m) = 8m + 5m
Now we can combine the two terms: 
8m + 5m = 13m
Therefore, the answer is B.

Question 8

Evaluate: 4 - 6 + 9 - 7 - 2 + 10 + 5

Accepted Answer

Following the order of operations (which, in this case, is simply left to right since there are only addition and subtraction operations), the calculation goes as follows: 4 - 6 + 9 - 7 - 2 + 10 + 5 = -2 + 9 - 7 - 2 + 10 + 5 = 7 - 7 - 2 + 10 + 5 = 0 - 2 + 10 + 5 = -2 + 10 + 5 = 8 + 5 = 13.

Question 9

Find the multiplicative inverse of  .

Accepted Answer

The answer of Find the multiplicative inverse of  .
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Quiz 1: Section 1: Real Numbers and Their Properties

Simplify: -10(s - 2) - 4(-s - 11)

Simplify:

Use the appropriate properties to evaluate 227²(4·5 - 20) .

Use the distributive property to factor the expression. 24p - 36

A large industrial plant produces one ton of concrete every 0.80 minutes. At what rate is the facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour.

Use the commutative and associative properties of multiplication and exponential notation to rewrite the given product. r²(r·10) (rs)

Combine like terms if possible: 8m - (-5m)

Evaluate: 4 - 6 + 9 - 7 - 2 + 10 + 5

Find the multiplicative inverse of .

Quiz 1: Section 1: Real Numbers and Their Properties

Simplify: -10(s - 2) - 4(-s - 11)

Simplify:

Use the appropriate properties to evaluate 2272(4·5 - 20) .

Use the distributive property to factor the expression. 24p - 36

A large industrial plant produces one ton of concrete every 0.80 minutes. At what rate is the facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour.

Use the commutative and associative properties of multiplication and exponential notation to rewrite the given product. r2(r·10) (rs)

Combine like terms if possible: 8m - (-5m)

Evaluate: 4 - 6 + 9 - 7 - 2 + 10 + 5

Find the multiplicative inverse of .

Use the appropriate properties to evaluate 227²(4·5 - 20) .

Use the commutative and associative properties of multiplication and exponential notation to rewrite the given product. r²(r·10) (rs)