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 correct answer is:
start fraction x over 2 end fraction + three-fourths
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
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
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
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.
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).