Which expression is equivalent to (–2)(a + 6)?
(1 point)
Responses
–2a + 6
–2 a + 6
2a + 12
2 a + 12
–2a – 12
–2 a – 12
–2a + 12
None of the provided expressions are equivalent to (-2)(a + 6). The correct expression is -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
natural numbers
The number -22 belongs to the following subsets of real numbers:
- whole numbers
- rational numbers
- integers
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(b – p)
6( b – p )
6 – bp
6 – bp
6bp
The algebraic expression for the word phrase "6 times the difference of b and p" is 6(b - p).
What is the simplified form of the expression?
Start Fraction 5 left-parenthesis 14 minus 2 right-parenthesis squared over 2 End Fraction
(1 point)
Responses
60
60
30
30
72
72
360
The simplified form of the expression is 30.
Evaluate u + xy, if u = 18, x = 10, and y = 8.
(1 point)
Responses
188
188
36
36
98
98
224
To evaluate u + xy, we substitute the given values:
u + xy = 18 + (10)(8) = 18 + 80 = 98
Therefore, the value of u + xy is 98.
A square field has an area of 479 ft2. What is the approximate length of a side of the field? Give your answer to the nearest foot. Explain your response.
(2 points)