B)2) To which subsets of real numbers does the number -22 belong? Choose all subsets that apply. (1 point)
Responses
whole numbers
integers
natural numbers
irrational numbers
rational numbers
The subsets of real numbers that -22 belongs to are:
- Integers
- Rational numbers
3) What is an algebraic expression for the following word phrase: "6 times the difference of b and p?" (1 point)
Responses
6 - bp
6 - bp
6bp
6 bp
6b - p
6 b - p
6(b - p)
The algebraic expression for the word phrase "6 times the difference of b and p" is 6(b - p).
3) What is an algebraic expression for the following word phrase: "6 times the difference of b and p?" (1 point)
Responses
6 - bp
6bp
6 b - p
6(b - p)
The correct algebraic expression for "6 times the difference of b and p" is 6(b - p).
4) What is the simplified form of the expression?
5(14−2)22
(1 point)
Responses
360
360
72
72
30
30
60
To simplify the expression 5(14−2)22, we first calculate the value inside the parentheses: 14 - 2 = 12. Then we multiply this result by 5: 5 * 12 = 60.
Therefore, the simplified form of the expression is 60.
5) Evaluate u + xy, if u = 18, x = 10, and y = 8. (1 point)
Responses
36
36
224
224
188
188
98
To evaluate u + xy, we substitute the given values of u, x, and y into the expression:
u + xy = 18 + (10)(8) = 18 + 80 = 98.
Therefore, the value of u + xy is 98.
To determine which subsets of real numbers the number -22 belongs to, let's define and examine each subset:
1. Whole Numbers: Whole numbers are the set of non-negative integers, including zero. Since -22 is not a non-negative integer, it does not belong to the subset of whole numbers.
2. Integers: Integers are the set of all positive and negative whole numbers, including zero. As -22 is a negative whole number, it does belong to the subset of integers.
3. Natural Numbers: Natural numbers are the set of positive integers, excluding zero. Since -22 is not a positive integer, it does not belong to the subset of natural numbers.
4. Irrational Numbers: Irrational numbers are numbers that cannot be expressed as the ratio of two integers. Since -22 is a rational number (as explained below), it does not belong to the subset of irrational numbers.
5. Rational Numbers: Rational numbers are numbers that can be expressed as the ratio of two integers. -22 can be expressed as the fraction -22/1, where both the numerator and denominator are integers. Hence, -22 belongs to the subset of rational numbers.
In conclusion, the number -22 belongs to the subsets of integers and rational numbers.