Evaluate the expression 7s to the 2nd power
if s=4
(1 point)
Responses
56
56
112
112
196
196
742
11 answers
The correct answer is 196.
Evaluate a5−bc+4a ÷c
when a=2
, b=3
, and c=8
.(1 point)
Responses
9
9
22.75
22.75
3.625
3.625
4
when a=2
, b=3
, and c=8
.(1 point)
Responses
9
9
22.75
22.75
3.625
3.625
4
To evaluate the expression, substitute the given values for a, b, and c into the expression:
a5 − bc + 4a ÷ c = 2^5 − 3(8) + 4(2) ÷ 8.
Simplify the expression:
32 - 24 + 8 ÷ 8
= 32 - 24 + 1
= 8 + 1
= 9.
Therefore, the answer is 9.
a5 − bc + 4a ÷ c = 2^5 − 3(8) + 4(2) ÷ 8.
Simplify the expression:
32 - 24 + 8 ÷ 8
= 32 - 24 + 1
= 8 + 1
= 9.
Therefore, the answer is 9.
Question
Which expression is equivalent to 2(x+3)+4(x+1)
?(1 point)
Responses
6x+7
6 x plus 7
3x+10
3 x plus 10
6x+10
6 x plus 10
2x+10
Which expression is equivalent to 2(x+3)+4(x+1)
?(1 point)
Responses
6x+7
6 x plus 7
3x+10
3 x plus 10
6x+10
6 x plus 10
2x+10
To find an equivalent expression, simplify the given expression by applying the distributive property and combining like terms.
2(x+3)+4(x+1) can be rewritten as:
2x + 6 + 4x + 4.
Simplify the expression by combining like terms:
2x + 4x + 6 + 4
= 6x + 10.
Therefore, the equivalent expression is 6x + 10.
2(x+3)+4(x+1) can be rewritten as:
2x + 6 + 4x + 4.
Simplify the expression by combining like terms:
2x + 4x + 6 + 4
= 6x + 10.
Therefore, the equivalent expression is 6x + 10.
Which of these expressions is equivalent to the following: 2(x+3)
I 2x+3
II 2x+6
III (x+3)+(x+3)
IV x+x+3+3
(1 point)
Responses
I and II
I and II
II and III
II and III
III and IV
III and IV
II , III , IV
II , III , IV
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I 2x+3
II 2x+6
III (x+3)+(x+3)
IV x+x+3+3
(1 point)
Responses
I and II
I and II
II and III
II and III
III and IV
III and IV
II , III , IV
II , III , IV
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To find the equivalent expression, simplify the given expression by applying the distributive property:
2(x + 3) can be rewritten as:
2x + 6.
Therefore, the equivalent expression is II, 2x + 6.
2(x + 3) can be rewritten as:
2x + 6.
Therefore, the equivalent expression is II, 2x + 6.
Which two expressions are equivalent to 7x+1
(1 point)
Responses
2(2x−1)+3(x+1)
2 times open paren 2 x minus 1 close paren plus 3 times open paren x plus 1 close paren
5(x+1)+2(x−2)
5 times open paren x plus 1 close paren plus 2 times open paren x minus 2 close paren
7(x−1)+2
7 times open paren x minus 1 close paren plus 2
7(x−1)+3
(1 point)
Responses
2(2x−1)+3(x+1)
2 times open paren 2 x minus 1 close paren plus 3 times open paren x plus 1 close paren
5(x+1)+2(x−2)
5 times open paren x plus 1 close paren plus 2 times open paren x minus 2 close paren
7(x−1)+2
7 times open paren x minus 1 close paren plus 2
7(x−1)+3
To find the equivalent expressions, we need to simplify each of the given expressions and see if they can be simplified to 7x + 1.
1) Simplifying 2(2x - 1) + 3(x + 1):
= 4x - 2 + 3x + 3
= 7x + 1
2) Simplifying 5(x + 1) + 2(x - 2):
= 5x + 5 + 2x - 4
= 7x + 1
3) Simplifying 7(x - 1) + 2:
= 7x - 7 + 2
= 7x - 5
This expression is not equivalent to 7x + 1.
4) Simplifying 7(x - 1) + 3:
= 7x - 7 + 3
= 7x - 4
This expression is not equivalent to 7x + 1.
Therefore, the two expressions equivalent to 7x + 1 are I) 2(2x - 1) + 3(x + 1) and II) 5(x + 1) + 2(x - 2).
1) Simplifying 2(2x - 1) + 3(x + 1):
= 4x - 2 + 3x + 3
= 7x + 1
2) Simplifying 5(x + 1) + 2(x - 2):
= 5x + 5 + 2x - 4
= 7x + 1
3) Simplifying 7(x - 1) + 2:
= 7x - 7 + 2
= 7x - 5
This expression is not equivalent to 7x + 1.
4) Simplifying 7(x - 1) + 3:
= 7x - 7 + 3
= 7x - 4
This expression is not equivalent to 7x + 1.
Therefore, the two expressions equivalent to 7x + 1 are I) 2(2x - 1) + 3(x + 1) and II) 5(x + 1) + 2(x - 2).
Which two expressions are equivalent to 10x+2
(1 point)
Responses
5x−5x+2−4
5 x minus 5 x plus 2 minus 4
5−3+11x−x
5 minus 3 plus 11 x minus x
9x+9+x−7
9 x plus 9 plus x minus 7
5(2x+2)
(1 point)
Responses
5x−5x+2−4
5 x minus 5 x plus 2 minus 4
5−3+11x−x
5 minus 3 plus 11 x minus x
9x+9+x−7
9 x plus 9 plus x minus 7
5(2x+2)
To find the equivalent expressions, we need to simplify each of the given expressions and see if they can be simplified to 10x + 2.
1) Simplifying 5x - 5x + 2 - 4:
= 0 + 2 - 4
= -2
This expression is not equivalent to 10x + 2.
2) Simplifying 5 - 3 + 11x - x:
= 2 + 10x
This expression is not equivalent to 10x + 2.
3) Simplifying 9x + 9 + x - 7:
= 10x + 2
This expression is equivalent to 10x + 2.
4) Simplifying 5(2x + 2):
= 10x + 10
This expression is not equivalent to 10x + 2.
Therefore, only one expression, III) 9x + 9 + x - 7, is equivalent to 10x + 2.
1) Simplifying 5x - 5x + 2 - 4:
= 0 + 2 - 4
= -2
This expression is not equivalent to 10x + 2.
2) Simplifying 5 - 3 + 11x - x:
= 2 + 10x
This expression is not equivalent to 10x + 2.
3) Simplifying 9x + 9 + x - 7:
= 10x + 2
This expression is equivalent to 10x + 2.
4) Simplifying 5(2x + 2):
= 10x + 10
This expression is not equivalent to 10x + 2.
Therefore, only one expression, III) 9x + 9 + x - 7, is equivalent to 10x + 2.