(
ℎ
+
𝑘
)
−
(
2
𝑘
−
ℎ
)
.(1 point)
Responses
2h+k
2
ℎ
+
𝑘
2 h plus k
2h−k
2
ℎ
−
𝑘
2 h minus k
−k
−
𝑘
negative k
−2h−k
5 answers
To simplify the expression \((h+k) - (2k - h)\), we can use the properties of operations to distribute the negative sign and combine like terms.
Start with the expression: \[ (h + k) - (2k - h) \]
Distribute the negative sign to the second group: \[ (h + k) - 2k + h \]
This becomes: \[ h + k - 2k + h \]
Combine like terms. The \(h\) terms are \(h + h = 2h\) and the \(k\) terms are \(k - 2k = -k\): \[ 2h - k \]
Thus, the final result is: \[ 2h - k \]
So the correct response is: 2h−k
To simplify the expression \((p - 3) - (2.4 + 2p)\), we can follow these steps:
Start with the initial expression: \[ (p - 3) - (2.4 + 2p) \]
Distribute the negative sign to the terms inside the parentheses: \[ p - 3 - 2.4 - 2p \]
Combine like terms. First, combine the \(p\) terms: \[ p - 2p = -p \]
Now combine the constant terms: \[ -3 - 2.4 = -5.4 \]
Putting it all together, we have: \[ -p - 5.4 \]
Thus, the final result is: \[ -p - 5.4 \]
The correct response is: −p−5.4
To simplify the expression \(2(k - 4) - 3(2k - 1)\), we can follow these steps:
Distribute the \(2\) across the first set of parentheses: \[ 2(k) - 2(4) = 2k - 8 \]
Distribute the \(-3\) across the second set of parentheses: \[ -3(2k) + 3(1) = -6k + 3 \]
Now combine these results: \[ 2k - 8 - 6k + 3 \]
Combine the \(k\) terms: \[ 2k - 6k = -4k \]
Combine the constant terms: \[ -8 + 3 = -5 \]
Putting it all together, we get: \[ -4k - 5 \]
So the final result is: \[ -4k - 5 \]
The correct response is: −4k−5
