Which sum or difference is equivalent to the following expression?

Question

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 1

The correct answer is:

start fraction x over 2 end fraction + three-fourths

Answer 2

Question

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

10g
10 g

4g + 6
4 g + 6

4 g minus 6
Image with alt text: 4 g minus 6

StartFraction 4 g over 6 EndFraction

Answer 3

Question

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

10g
10 g

4g + 6
4 g + 6

4 g minus 6
4 g minus 6

Start Fraction 4 g over 6 End Fraction

Answer 4

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

Answer 5

The sum or difference that is equivalent to the expression Start Fraction 2 x plus 3 over 4 End Fraction is start fraction x over 2 end fraction + three-fourths.

Answer 6

To determine which sum or difference is equivalent to the expression, we can simplify the expression first.

The given expression is:
Start Fraction 2x + 3 over 4 End Fraction

To simplify this expression, we need to distribute the numerator:
2x + 3

Now, we can see that there are no like terms, so we cannot simplify it further.

Comparing this expression to the provided options:

Option 1: start fraction x over 2 end fraction + three-fourths
Option 1 simplifies to (x/2) + (3/4).

Option 2: start fraction x over 2 end fraction – three-fourths
Option 2 simplifies to (x/2) - (3/4).

Option 3: start fraction 3x over 4 end fraction + three-fourths
Option 3 simplifies to (3x/4) + (3/4).

Option 4: 8x + 24

None of the provided options match the given expression. Therefore, none of the provided options are equivalent to the expression Start Fraction 2x + 3 over 4 End Fraction (8x + 24 is not even in fraction form).