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Use the Distributive Property to simplify the expression.

(–1)(4 – c)
(1 point)
Responses

4 – c
4 – c

–4 + c
–4 + c

4 + c
4 + c

–4 – c

15 answers

The correct simplification using the Distributive Property is:

(–1)(4 – c) = –1(4) + –1(-c) = –4 + c
Use the Distributive Property to simplify the expression.

4(2x ‒ 4)
(1 point)
Responses

8x + 4
8 x + 4

8x – 4
8 x – 4

8x – 16
8 x – 16

4x – 16
The correct simplification using the Distributive Property is:

4(2x ‒ 4) = 4(2x) + 4(-4) = 8x - 16
Use the Distributive Property to simplify the expression.

(10 + 4y) one-half
(1 point)
Responses

5 + 2y
5 + 2 y

20 + 8y
20 + 8 y

5 + 4y
5 + 4 y

10 + 2y
The correct simplification using the Distributive Property is:

(10 + 4y)(1/2) = 10(1/2) + 4y(1/2) = 5 + 2y
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
The number -22 belongs to the following subsets of real numbers:

1. Integers
2. Rational numbers
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 "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, where u = 18, x = 10, and y = 8, substitute the given values and perform the calculation:

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)
To find the length of a side of the square field, we need to find the square root of the area.

Taking the square root of 479, we get approximately 21.89. Since the length of a side must be a whole number, we round 21.89 to the nearest whole number, which is 22.

Therefore, the approximate length of a side of the field is 22 feet.