Which expression is equivalent to minus, 2, h, minus, 5, minus, 3, h, minus, 8−2h−5−3h−8?

Question

Answer
Multiple Choice Answers
minus, 18, h−18h
h, minus, 13h−13
minus, 5, h, minus, 13−5h−13
minus, 18−18

Answer 1

To simplify the expression \(-2h - 5 - 3h - 8\), we will combine like terms.

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

2. Combine the constant terms: \[ -5 - 8 = -13 \]

Now, putting it all together, we have: \[ -5h - 13 \]

Now, let's compare this result to the answer choices provided:

1. \(-18h\)
2. \(h - 13\)
3. \(-5h - 13\)
4. \(-18\)

The expression we found, \(-5h - 13\), matches the third choice.

Thus, the answer is \(-5h - 13\).

Answer 2

Which expression is equivalent to minus, 9, k, minus, 3, minus, 9, k, minus, 4−9k−3−9k−4?
Answer
Multiple Choice Answers
minus, 25−25
minus, 7, minus, 18, k−7−18k
minus, 25, k−25k
minus, 12, k, minus, 13−12k−13

Answer 3

To simplify the expression \(-9k - 3 - 9k - 4\), we will combine like terms.

1. Combine the \(k\) terms: \[ -9k - 9k = -18k \]

2. Combine the constant terms: \[ -3 - 4 = -7 \]

Now, putting it all together, we have: \[ -18k - 7 \]

Now, let's compare this result to the answer choices provided:

1. \(-25\)
2. \(-7 - 18k\)
3. \(-25k\)
4. \(-12k - 13\)

The expression we found does not exactly replace any one of the answers mentioned, however, option 2 \(-7 - 18k\) does represent the same value as \(-18k - 7\) (the order does not change the value).

Thus, the equivalent expression is: \(-7 - 18k\).

Answer 4

Use the distributive property to write an equivalent expression.
5, left parenthesis, 6, v, plus, 10, right parenthesis
5(6v+10)

Answer 5

To use the distributive property on the expression \(5(6v + 10)\), we multiply each term inside the parentheses by \(5\):

1. Multiply \(5\) by \(6v\): \[ 5 \cdot 6v = 30v \]

2. Multiply \(5\) by \(10\): \[ 5 \cdot 10 = 50 \]

Now, combine these results: \[ 30v + 50 \]

So, the expression \(5(6v + 10)\) is equivalent to \(30v + 50\).

Answer 6

Use the distributive property to write an equivalent expression.
3, left parenthesis, 8, x, plus, 3, right parenthesis
3(8x+3)

Answer 7

To use the distributive property on the expression \(3(8x + 3)\), we multiply each term inside the parentheses by \(3\):

1. Multiply \(3\) by \(8x\): \[ 3 \cdot 8x = 24x \]

2. Multiply \(3\) by \(3\): \[ 3 \cdot 3 = 9 \]

Now, combine these results: \[ 24x + 9 \]

So, the expression \(3(8x + 3)\) is equivalent to \(24x + 9\).

Answer 8

Use the distributive property to write an equivalent expression.
2, left parenthesis, 9, k, plus, 6, right parenthesis
2(9k+6)

Answer 9

To use the distributive property on the expression \(2(9k + 6)\), we multiply each term inside the parentheses by \(2\):

1. Multiply \(2\) by \(9k\): \[ 2 \cdot 9k = 18k \]

2. Multiply \(2\) by \(6\): \[ 2 \cdot 6 = 12 \]

Now, combine these results: \[ 18k + 12 \]

So, the expression \(2(9k + 6)\) is equivalent to \(18k + 12\).

Answer 10

Distribute minus, 9, left parenthesis, x, plus, 1, right parenthesis, .−9(x+1)

Answer 11

To distribute \(-9\) in the expression \(-9(x + 1)\), we multiply each term inside the parentheses by \(-9\):

1. Multiply \(-9\) by \(x\): \[ -9 \cdot x = -9x \]

2. Multiply \(-9\) by \(1\): \[ -9 \cdot 1 = -9 \]

Now, combine these results: \[ -9x - 9 \]

So, the expression \(-9(x + 1)\) is equivalent to \(-9x - 9\).