Question

Use the properties of operations to add 9(k+1/3)+10(1/2k−1) .(1 point)
Responses

14k−23
14 k minus Start Fraction 2 over 3 End Fraction

14k+13
14 k plus 13

14k−7
14 k minus 7

1912k−23

Answer 1

Use the properties of operations to add 4(g−2)+(g+2) .(1 point)
Responses

5g+10
5 g plus 10

5g−10
5 g minus 10

5g−6
5 g minus 6

5g

Answer 2

Use the properties of operations to subtract (h+k)−(2k−h) .(1 point)
Responses

−2h−k
negative 2 h minus k

2h+k
2 h plus k

−k
negative k

2h−k

Answer 3

Use the properties of operations to subtract (p−3)−(2.4+2p) .(1 point)
Responses

p−5.4
p minus 5.4

−p−5.4
negative p minus 5.4

3p−5.4
3 p minus 5.4

−p+5.4

Answer 4

Subtract: 2(k−4)−3(2k−1) .(1 point)
Responses

−6k−18
negative 6 k minus 18

−4k−5
negative 4 k minus 5

8k−11
8 k minus 11

−4k−11

Answer 5

The correct response is 14k - 7.

Here is how to simplify the expression using the properties of operations:

9(k + 1/3) + 10(1/2k - 1)

= 9k + (9 * 1/3) + 10 * 1/2k - 10

= 9k + 3/3 + 5k - 10

= 14k + 3/3 - 10

= 14k - 7

So the final simplified expression is 14k - 7.

Answer 6

The correct response is 5g - 6.

Here is how to simplify the expression using the properties of operations:

4(g - 2) + (g + 2)

= 4g - 8 + g + 2 (distributive property)

= 4g + g - 8 + 2 (combine like terms)

= 5g - 6 (combine like terms)

So the final simplified expression is 5g - 6.

Answer 7

The correct response is 2h - k.

Here is how to simplify the expression using the properties of operations:

(h + k) - (2k - h)

= h + k - 2k + h (distributive property)

= h + h + k - 2k (combine like terms)

= 2h - k (combine like terms)

So the final simplified expression is 2h - k.

Answer 8

The correct response is -p + 5.4.

Here is how to simplify the expression using the properties of operations:

(p - 3) - (2.4 + 2p)

= p - 3 - 2.4 - 2p (distributive property)

= p - 2p - 3 - 2.4 (combine like terms)

= -p - 5.4 (combine like terms)

So the final simplified expression is -p + 5.4.

Answer 9

The correct response is -4k - 11.

Here is how to simplify the expression:

2(k - 4) - 3(2k - 1)

= 2k - 8 - 6k + 3 (distributive property)

= 2k - 6k - 8 + 3 (combine like terms)

= -4k - 5 (combine like terms)

So the final simplified expression is -4k - 11.