Math / Algebra

QuestionWhich expression is equivalent to $-5(-6 h+8-12) ?$ $30 h+40+60$ $-30 h+40-60$ $30 h-40+60$ $-30 h-40-60$

Studdy Solution

STEP 1

1. We are given an expression and need to simplify it.
2. The goal is to find an equivalent expression from the given options.

STEP 2

1. Simplify the expression inside the parentheses.
2. Distribute the factor outside the parentheses.
3. Compare the simplified expression with the given options.

STEP 3

Simplify the expression inside the parentheses:
$-6h + 8 - 12$
Combine the constant terms:
$8 - 12 = -4$
So, the expression becomes:
$-6h - 4$

STEP 4

Distribute the factor $-5$ across the simplified expression:
$-5(-6h - 4)$
Apply the distributive property:
$= -5 \times (-6h) + (-5) \times (-4)$
Calculate each term:
$= 30h + 20$

STEP 5

Compare the simplified expression $30h + 20$ with the given options:
- $30h + 40 + 60$ - $-30h + 40 - 60$ - $30h - 40 + 60$ - $-30h - 40 - 60$
None of the options match exactly with $30h + 20$ . It seems there might be a mistake in the options provided.

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QuestionWhich expression is equivalent to $-5(-6 h+8-12) ?$ $30 h+40+60$ $-30 h+40-60$ $30 h-40+60$ $-30 h-40-60$

Studdy Solution

STEP 1

1. We are given an expression and need to simplify it.
2. The goal is to find an equivalent expression from the given options.

STEP 2

1. Simplify the expression inside the parentheses.
2. Distribute the factor outside the parentheses.
3. Compare the simplified expression with the given options.

STEP 3

Simplify the expression inside the parentheses:
$-6h + 8 - 12$
Combine the constant terms:
$8 - 12 = -4$
So, the expression becomes:
$-6h - 4$

STEP 4

Distribute the factor $-5$ across the simplified expression:
$-5(-6h - 4)$
Apply the distributive property:
$= -5 \times (-6h) + (-5) \times (-4)$
Calculate each term:
$= 30h + 20$

STEP 5

Compare the simplified expression $30h + 20$ with the given options:
- $30h + 40 + 60$ - $-30h + 40 - 60$ - $30h - 40 + 60$ - $-30h - 40 - 60$
None of the options match exactly with $30h + 20$ . It seems there might be a mistake in the options provided.

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QuestionWhich expression is equivalent to −5(−6h+8−12)?-5(-6 h+8-12) ?−5(−6h+8−12)? 30h+40+6030 h+40+6030h+40+60 −30h+40−60-30 h+40-60−30h+40−60 30h−40+6030 h-40+6030h−40+60 −30h−40−60-30 h-40-60−30h−40−60

Studdy Solution

STEP 1

1. We are given an expression and need to simplify it.2. The goal is to find an equivalent expression from the given options.

STEP 2

1. Simplify the expression inside the parentheses.2. Distribute the factor outside the parentheses.3. Compare the simplified expression with the given options.

STEP 3

Simplify the expression inside the parentheses:−6h+8−12 -6h + 8 - 12 −6h+8−12Combine the constant terms:8−12=−4 8 - 12 = -4 8−12=−4So, the expression becomes:−6h−4 -6h - 4 −6h−4

STEP 4

Distribute the factor −5-5−5 across the simplified expression:−5(−6h−4) -5(-6h - 4) −5(−6h−4)Apply the distributive property:=−5×(−6h)+(−5)×(−4) = -5 \times (-6h) + (-5) \times (-4) =−5×(−6h)+(−5)×(−4)Calculate each term:=30h+20 = 30h + 20 =30h+20

STEP 5

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QuestionWhich expression is equivalent to $-5(-6 h+8-12) ?$ $30 h+40+60$ $-30 h+40-60$ $30 h-40+60$ $-30 h-40-60$

1. We are given an expression and need to simplify it.
2. The goal is to find an equivalent expression from the given options.

1. Simplify the expression inside the parentheses.
2. Distribute the factor outside the parentheses.
3. Compare the simplified expression with the given options.

Simplify the expression inside the parentheses:
$-6h + 8 - 12$
Combine the constant terms:
$8 - 12 = -4$
So, the expression becomes:
$-6h - 4$

Distribute the factor $-5$ across the simplified expression:
$-5(-6h - 4)$
Apply the distributive property:
$= -5 \times (-6h) + (-5) \times (-4)$
Calculate each term:
$= 30h + 20$