Question

Simplify the expression.

9/3x+4+2x


(1 point)
Responses

15x+12
15 x plus 12

5x+4
5 x plus 4

x+4
x plus 4.

11/3x+4

Answer 1

Simplify the expression.

(5y−1)+(−2y+4)


(1 point)

Answer 2

Simplify the expression.

(h+12)+(p+24)

(1 point)
Responses

hp+36
h p plus 36

h+p+36
h plus p plus 36

hp+288
h p plus 288

12h+24p
12 h plus 24 p

Answer 3

Simplify the expression.

(3/4x−1)+(3/4x−2)


(1 point)
Responses

1
1

3/4x+1
3 fourths x plus 1

-3
-3

3/2x−3

Answer 4

Simplify the expression.

7x+3(x−2)−4x+8


(1 point)
Responses

6x+14
6 x plus 14

6x+2
6 x plus 2

14x+2
14 x plus 2

14x+14

Answer 5

Simplify the expression.

(3x−8)+(2x+5)−(4x−8)


(1 point)
Responses

9x−11
9 x minus 11

x+5
x plus 5

9x+5
9 x plus 5

x−11

Answer 6

To simplify the expression \( \frac{9}{3}x + 4 + 2x \), we can follow these steps:

1. Simplify \( \frac{9}{3}x \):
\[ \frac{9}{3}x = 3x \]

2. Now, substitute that back into the expression:
\[ 3x + 4 + 2x \]

3. Combine the like terms (\(3x\) and \(2x\)):
\[ (3x + 2x) + 4 = 5x + 4 \]

Thus, the simplified expression is \( 5x + 4 \).

The correct response is: **5x + 4**.

Answer 7

To simplify the expression \( (5y - 1) + (-2y + 4) \), we can follow these steps:

1. Remove the parentheses:
\[
5y - 1 - 2y + 4
\]

2. Combine like terms:
- Combine the terms with \(y\): \(5y - 2y = 3y\)
- Combine the constant terms: \(-1 + 4 = 3\)

3. Write the simplified expression:
\[
3y + 3
\]

Thus, the simplified expression is \( 3y + 3 \).

Answer 8

To simplify the expression \( (h + 12) + (p + 24) \), we can follow these steps:

1. Remove the parentheses:
\[
h + 12 + p + 24
\]

2. Combine like terms (the constants):
\[
12 + 24 = 36
\]

3. Rewrite the expression:
\[
h + p + 36
\]

Thus, the simplified expression is \( h + p + 36 \).

The correct response is: **h + p + 36**.

Answer 9

To simplify the expression \( \left( \frac{3}{4}x - 1 \right) + \left( \frac{3}{4}x - 2 \right) \), follow these steps:

1. Remove the parentheses:
\[
\frac{3}{4}x - 1 + \frac{3}{4}x - 2
\]

2. Combine like terms:
- Combine the terms with \(x\):
\[
\frac{3}{4}x + \frac{3}{4}x = \frac{6}{4}x = \frac{3}{2}x
\]
- Combine the constant terms:
\[
-1 - 2 = -3
\]

3. Write the simplified expression:
\[
\frac{3}{2}x - 3
\]

Thus, the simplified expression is \( \frac{3}{2}x - 3 \).

The correct response is: **\(\frac{3}{2}x - 3\)**.

Answer 10

To simplify the expression \( 7x + 3(x - 2) - 4x + 8 \), follow these steps:

1. Distribute the \(3\) to the terms inside the parentheses:
\[
7x + 3x - 6 - 4x + 8
\]

2. Combine like terms:
- Combine the \(x\) terms:
\[
7x + 3x - 4x = (7 + 3 - 4)x = 6x
\]
- Combine the constant terms:
\[
-6 + 8 = 2
\]

3. Write the simplified expression:
\[
6x + 2
\]

Thus, the simplified expression is \( 6x + 2 \).

The correct response is: **6x + 2**.

Answer 11

To simplify the expression \( (3x - 8) + (2x + 5) - (4x - 8) \), follow these steps:

1. Remove the parentheses:
\[
3x - 8 + 2x + 5 - 4x + 8
\]

2. Combine like terms:
- Combine the \(x\) terms:
\[
3x + 2x - 4x = (3 + 2 - 4)x = x
\]
- Combine the constant terms:
\[
-8 + 5 + 8 = -8 + 13 = 5
\]

3. Write the simplified expression:
\[
x + 5
\]

Thus, the simplified expression is \( x + 5 \).

The correct response is: **x + 5**.