A)1) Which expression is equivalent to −2(a+6)
(1 point)
Responses
−2a+12
negative 2 A plus 12
2a+12
2 A plus 12
−2a+6
negative 2 A plus 6
−2a−12
negative 2 A minus 12
B)2) To which subsets of real numbers does the number -22 belong? Choose all subsets that apply. (1 point)
Responses
whole numbers
whole numbers
integers
integers
natural numbers
natural numbers
irrational numbers
irrational numbers
rational numbers
rational numbers
C)3) What is an algebraic expression for the following word phrase: "6 times the difference of b and p?" (1 point)
Responses
6b - p
6 b - p
6 - bp
6 - bp
6(b - p)
6( b - p )
6bp
6 bp
D)
4) What is the simplified form of the expression?
5(14−2)22
(1 point)
Responses
60
60
72
72
360
360
30
30
E)5) Evaluate u + xy, if u = 18, x = 10, and y = 8. (1 point)
Responses
36
36
188
188
98
98
224
224
A)1) Which expression is equivalent to −2(a+6)
(1 point)
Responses
−2a+12
negative 2 A plus 12
2a+12
2 A plus 12
−2a+6
negative 2 A plus 6
−2a−12
−2a−12
To which subsets of real numbers does the number –22 belong? Choose all subsets that apply.
(1 point)
Responses
whole numbers
whole numbers
rational numbers
rational numbers
integers
integers
irrational numbers
irrational numbers
natural numbers
A)1) The expression -2(a+6) is equivalent to:
−2a+12 (negative 2a plus 12)
B)2) The number -22 belongs to the following subsets of real numbers:
- whole numbers
- integers
- rational numbers
C)3) The algebraic expression for "6 times the difference of b and p" is:
6(b - p)
D)4) The simplified form of the expression 5(14 − 2)22 is:
360
E)5) Evaluating u + xy with u = 18, x = 10, and y = 8, we get:
98
A)1) Which expression is equivalent to −2(a+6)?
To find the equivalent expression, you need to distribute the -2 to both terms inside the parentheses (a and 6).
Multiply -2 by a: -2 * a = -2a
Multiply -2 by 6: -2 * 6 = -12
So, the equivalent expression is -2a - 12.
Therefore, the correct response is:
-2a - 12
B)2) To which subsets of real numbers does the number -22 belong?
-22 is a negative number, which means it belongs to the following subsets of real numbers:
- It belongs to the set of integers since it is a negative whole number: -22 is an integer.
- It does not belong to the set of natural numbers since natural numbers only include positive whole numbers.
- It does not belong to the set of irrational numbers since irrational numbers cannot be expressed as a fraction or exact decimal.
- It belongs to the set of rational numbers since it can be expressed as a fraction (-22/1) or exact decimal (-22.0).
Therefore, the correct responses are:
- Integers
- Rational numbers
C)3) What is an algebraic expression for the following word phrase: "6 times the difference of b and p?"
The word phrase describes a multiplication operation, where you multiply 6 by the difference between b and p.
The algebraic expression for this is:
6(b - p)
Therefore, the correct response is:
6(b - p)
D)4) What is the simplified form of the expression 5(14−2)22?
To simplify the expression, you need to follow the order of operations, which is parentheses, multiplication, and then addition or subtraction.
First, simplify the expression inside the parentheses:
14 - 2 = 12
Then, multiply 12 by 5:
5 * 12 = 60
Finally, multiply 60 by 22:
60 * 22 = 1320
Therefore, the simplified form of the expression is:
1320
E)5) Evaluate u + xy, if u = 18, x = 10, and y = 8.
Substitute the given values into the expression:
u + xy
18 + (10 * 8)
Multiply:
18 + 80
Add:
18 + 80 = 98
Therefore, the value of u + xy is:
98