Write the following expression using the fewest possible terms:

Question

( 5 + 3/8 y) + ( 1/4 y - 2)

(1 point)
Responses

1/8 y − 3

1/8 y + 3

5/8 y − 3

5/8 y + 3

Answer 1

The expression can be simplified to:

5/8 y + 3

So the correct answer is 5/8 y + 3

Answer 2

simplify the expression.

(7𝑥 + 6) ― (8 + 𝑥)

(2 points)
Responses

8x - 2
8x - 2

7x - 48
7x - 48

8x - 14
8x - 14

6x - 2

Answer 3

To simplify the expression (7x + 6) - (8 + x), we can distribute the negative sign to the terms inside the parentheses and then combine like terms:

7x + 6 - 8 - x
Simplifying further:
(7x - x) + (6 - 8)
6x - 2

So the correct answer is 6x - 2.

Answer 4

select ALL equivalent expressions to:

(7𝑥 ― 2) ― (0.04𝑥 ― 3 + 0.2𝑥)

(2 points)
Responses

(7x − 2) − (0.24x − 3)
(7x negative 2) negative (0.24x negative 3)

7.16x −5
7.16x negative5

6.76x + 1
6.76x plus 1

5.76x
5.76x

7.76x

Answer 5

To simplify the expression (7x - 2) - (0.04x - 3 + 0.2x), we can distribute the negative sign to the terms inside the second set of parentheses and then simplify:

(7x - 2) - (0.04x - 3 - 0.2x)
Simplifying further:
(7x - 2) - 0.04x + 3 + 0.2x
Combining like terms:
7x - 2 - 0.04x + 3 + 0.2x
Rearranging:
(7x - 0.04x + 0.2x) - 2 + 3
Combining like terms:
7.16x - 2 + 3
7.16x + 1

So the expression (7x - 2) - (0.04x - 3 + 0.2x) simplifies to 7.16x + 1.

The equivalent expressions to 7.16x + 1 are:
- (7.16x - 5)
- 6.76x + 1
- 5.76x
- 7.76x

So the correct answers are:
- (7.16x - 5)
- 6.76x + 1
- 5.76x
- 7.76x

Answer 6

Jill is thinking of a number. Four more than three times the number is thirteen. What is the number?(1 point)
Jill's number is

Answer 7

To find Jill's number, we can set up and solve an equation. Let "x" represent Jill's number. The equation can be written as:

3x + 4 = 13

To solve for x, we can subtract 4 from both sides of the equation:

3x = 13 - 4
3x = 9

Finally, divide both sides of the equation by 3:

x = 9/3
x = 3

Therefore, Jill's number is 3.