Simplify 4x + 8x using the properties of operations.(1 point)

Responses

12x
12 x

12x2
12 x squared

4x + 8
4 x plus 8

4 + 8x

11 answers

To simplify \( 4x + 8x \), you can combine the like terms:

\[ 4x + 8x = (4 + 8)x = 12x \]

So the correct answer is:

12x

Simplify 9g−7h−6g + 2h  . (1 point)
Responses

3g + 5h
3 g plus 5 h

−2gh
negative 2 g h

2gh − 4gh
2 g h minus 4 g h

3g − 5h

To simplify \( 9g - 7h - 6g + 2h \), we can combine like terms:

  1. Combine the \( g \) terms: \( 9g - 6g = 3g \)
  2. Combine the \( h \) terms: \( -7h + 2h = -5h \)

Putting it all together, we have:

\[ 3g - 5h \]

So the correct answer is:

3g − 5h

Simplify  2a − 4b +7 + 8a + 6b − 2 .(1 point)
Responses

−2ab + 14ab + 5
negative 2 a b plus 14 a b plus 5

10a − 2b +5
10 a minus 2 b plus 5

12ab + 5
12 a b plus 5

10a + 2b +5

To simplify \( 2a - 4b + 7 + 8a + 6b - 2 \), we can combine like terms:

  1. Combine the \( a \) terms: \[ 2a + 8a = 10a \]

  2. Combine the \( b \) terms: \[ -4b + 6b = 2b \]

  3. Combine the constant terms: \[ 7 - 2 = 5 \]

Putting it all together, we get:

\[ 10a + 2b + 5 \]

So the correct answer is:

10a + 2b + 5

Simplify 3/7x + 2/7x  using properties of operations.(1 point)
Responses

5/7x2
Start Fraction 5 over 7 End Fraction x squared

5/14x2
Start Fraction 5 over 14 End Fraction x squared

5/14x
Start Fraction 5 over 14 End Fraction x

5/7x

To simplify \( \frac{3}{7}x + \frac{2}{7}x \), you can combine the like terms:

\[ \frac{3}{7}x + \frac{2}{7}x = \left( \frac{3 + 2}{7} \right)x = \frac{5}{7}x \]

So the correct answer is:

\(\frac{5}{7}x\)

Is it 5/7x or 5/7x with exponent 2

The simplified expression is \( \frac{5}{7}x \) (which means \( \frac{5}{7} \) multiplied by \( x \)).

It is not an exponent; \( x \) does not have an exponent of 2 in this case. So the correct option is:

\(\frac{5}{7}x\) (not \( x^2 \)).

Simplify  67c − 59d − 12 c + 13d .(1 point)
Responses

514c − 29d
Start Fraction 5 over 14 End Fraction c minus Start Fraction 2 over 9 End Fraction d

59c − 412d = 59c −13d
Start Fraction 5 over 9 End Fraction c minus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c minus Start Fraction 1 over 3 End Fraction d

514c + 29d
Start Fraction 5 over 14 End Fraction c plus Start Fraction 2 over 9 End Fraction d

59c + 412d = 59c  +13d

To simplify \( 67c - 59d - 12c + 13d \), we can combine like terms:

  1. Combine the \( c \) terms: \[ 67c - 12c = 55c \]

  2. Combine the \( d \) terms: \[ -59d + 13d = -46d \]

Putting it all together, we get: \[ 55c - 46d \]

None of the provided options exactly match this, but the closest option, based on common mathematical notation for fractions, is:

None of the provided options are correct. The correct simplified expression is \( 55c - 46d \).

If you have more options or need further assistance, feel free to ask!