Which sum or difference is equivalent to the following expression?

Question

Start Fraction 2 x plus 3 over 4 End Fraction

Answer 1

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.

Answer 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

Answer 3

The sum or difference equivalent to the expression (2x + 3)/4 is:

(start fraction x over 2 end fraction) + (three-fourths)

Answer 4

What is the algebraic expression for the following word phrase: the sum of 4g and 6?
(1 point)
Responses

Answer 5

The algebraic expression for the word phrase "the sum of 4g and 6" is:

4g + 6

Answer 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

Answer 7

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

Answer 8

12 of 2912 of 29 Items

Question
What is the algebraic expression for the following word phrase: the quotient of x and 6y?
(1 point)

Answer 9

The algebraic expression for the word phrase "the quotient of x and 6y" is:

x / 6y

Answer 10

What is the difference?

nine-fourths minus one-seventh

Answer 11

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.