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.
(–1)(4 – c)
(1 point)
Responses
4 – c
4 – c
–4 + c
–4 + c
4 + c
4 + c
–4 – c
15 answers
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
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
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
(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
(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
(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
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
(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)
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
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
30
Evaluate u + xy, if u = 18, x = 10, and y = 8.
(1 point)
Responses
188
188
36
36
98
98
224
(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.
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)
(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.
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.