Which sum or difference is equivalent to the following expression?
Start Fraction 2 x plus 3 over 4 End Fraction
There are no options to choose from, so we need to simplify the expression.
To simplify the expression, we distribute the 2 to both terms inside the parentheses:
2 * x = 2x
2 * 3 = 6
So the expression becomes:
(2x + 6)/4
We can further simplify by dividing both terms inside the parentheses by 2:
2x/2 = x
6/2 = 3
The expression simplifies to:
(x + 3)/2
So the sum or difference equivalent to the expression (2x + 3)/4 is (x + 3)/2.
Which sum or difference is equivalent to the following expression?
Start Fraction 2 x plus 3 over 4 End Fraction
(1 point)
Responses
start fraction x over 2 end fraction + three-fourths
Image with alt text: start fraction x over 2 end fraction + Image with alt text: three-fourths
start fraction x over 2 end fraction – three-fourths
Image with alt text: start fraction x over 2 end fraction – Image with alt text: three-fourths
start fraction 3 x over 4 end fraction+ three-fourths
Image with alt text: start fraction 3 x over 4 end fraction + Image with alt text: three-fourths
8x + 24
The sum or difference equivalent to the expression (2x + 3)/4 is:
(start fraction x over 2 end fraction) + (three-fourths)
What is the algebraic expression for the following word phrase: the sum of 4g and 6?
(1 point)
Responses
The algebraic expression for the word phrase "the sum of 4g and 6" is:
4g + 6
What is the algebraic expression for the following word phrase: the quotient of 8 and the sum of 3 and m?
(1 point)
Responses
StartFraction 8 over 3 plus m EndFraction
Image with alt text: StartFraction 8 over 3 plus m EndFraction
eight-thirds plus 8 m
Image with alt text: eight-thirds plus 8 m
8 left parenthesis 3 plus m right parenthesis
Image with alt text: 8 left parenthesis 3 plus m right parenthesis
StartFraction 8 over 3 minus m EndFraction
Image with alt text: StartFraction 8 over 3 minus m EndFraction
The algebraic expression for the word phrase "the quotient of 8 and the sum of 3 and m" is:
StartFraction 8 over 3 plus m EndFraction
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Question
What is the algebraic expression for the following word phrase: the quotient of x and 6y?
(1 point)
The algebraic expression for the word phrase "the quotient of x and 6y" is:
x / 6y
What is the difference?
nine-fourths minus one-seventh
To find the difference, we need to subtract one-seventh from nine-fourths.
The common denominator for fourths and sevenths is 28. To convert nine-fourths to twenty-eightths, we multiply the numerator and denominator by 7:
(9/4) * (7/7) = 63/28
Now we can subtract one-seventh from sixty-three twenty-eighths:
(63/28) - (1/7)
To subtract these fractions, they need to have the same denominator.
To accomplish this, we can convert one-seventh to four twenty-eighths:
(1/7) * (4/4) = 4/28
Now we can subtract:
(63/28) - (4/28) = 59/28
So, the difference between nine-fourths and one-seventh is fifty-nine twenty-eighths or 59/28.