Simplify the expression.

Question

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

To simplify the expression \( \frac{9}{3}x + 4 + 2x \), we first simplify \( \frac{9}{3} \):

\[ \frac{9}{3} = 3 \]

Now we can rewrite the expression:

\[ 3x + 4 + 2x \]

Next, we combine the like terms \( 3x \) and \( 2x \):

\[ (3x + 2x) + 4 = 5x + 4 \]

Therefore, the simplified expression is:

\[ \boxed{5x + 4} \]

Answer 2

Simplify the expression:

(5y−1)+(−2y+4)


(1 point)

Answer 3

To simplify the expression \( (5y - 1) + (-2y + 4) \), we can remove the parentheses and combine like terms:

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

2. Combine the \( y \) terms: \[ 5y - 2y = 3y \]

3. Combine the constant terms: \[ -1 + 4 = 3 \]

Putting it all together, we have: \[ 3y + 3 \]

Thus, the simplified expression is: \[ \boxed{3y + 3} \]

Answer 4

Simplify the expression.

(34x−1)+(34x−2)


(1 point)
Responses

1
1

34x+1
3 fourths x plus 1

-3
-3

32x−3

Answer 5

To simplify the expression \( (34x - 1) + (34x - 2) \), we can remove the parentheses and combine like terms:

1. Remove the parentheses: \[ 34x - 1 + 34x - 2 \]

2. Combine the \( x \) terms: \[ 34x + 34x = 68x \]

3. Combine the constant terms: \[ -1 - 2 = -3 \]

Putting it all together, we have: \[ 68x - 3 \]

Thus, the simplified expression is: \[ \boxed{68x - 3} \]

(Note: If you're looking for a specific answer among the given options, 68x - 3 is not included, so it's possible the intended simplification or values may differ in context.)

Answer 6

Simplify the expression.

(3/4x−1)+(3/4x−2)


(1 point)
Responses

1
1

34x+1
3 fourths x plus 1

-3
-3

3/2x−3
3 halves x minus 3

Answer 7

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

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

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

3. Combine the constant terms: \[ -1 - 2 = -3 \]

Putting it all together, we have: \[ \frac{3}{2}x - 3 \]

Thus, the simplified expression is: \[ \boxed{\frac{3}{2}x - 3} \]

This corresponds to the response 3/2x−3.

Answer 8

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 9

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

1. Distribute \( 3 \) into \( (x - 2) \): \[ 7x + 3x - 6 - 4x + 8 \]

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

3. Now, combine the constant terms: \[ -6 + 8 = 2 \]

4. Putting it all together, we get: \[ 6x + 2 \]

Thus, the simplified expression is: \[ \boxed{6x + 2} \]

This corresponds to the response 6x + 2.

Answer 10

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 11

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

1. Distribute the negative sign in front of the third term: \[ (3x - 8) + (2x + 5) - 4x + 8 \]

2. Combine like terms. First, combine the \( x \) terms: \[ 3x + 2x - 4x = (3 + 2 - 4)x = 1x = x \]

3. Now, combine the constant terms: \[ -8 + 5 + 8 = (-8 + 5 + 8) = -8 + 5 = -3 \]

Putting it all together, we get: \[ x - 3 \]

However, it seems the responses provided do not include \( x - 3 \). Let's verify if it matches any of the options:

• 9x - 11
• x + 5
• 9x + 5
• x - 11

None of these match \( x - 3 \). Could you please double-check the expression or options provided?