Question

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date
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geometry unit 1 lesson 4-6 practice problems
solve the following:

1. 10 = 2x + 4
2. 10 = 2(x + 4)
3. 4 + 10 = 2x

simplify each expression:

1. -2(7 - n) + 4
2. 9 + 5r - 9r
3. 1 - 3v + 10

Explanation:

Problem 1: Solve \( 10 = 2x + 4 \)

Step1: Restar 4 de ambos lados

\( 10 - 4 = 2x + 4 - 4 \)
\( 6 = 2x \)

Step2: Dividir por 2 ambos lados

\( \frac{6}{2} = \frac{2x}{2} \)
\( 3 = x \)

Step1: Distribuir el 2

\( 10 = 2x + 8 \)

Step2: Restar 8 de ambos lados

\( 10 - 8 = 2x + 8 - 8 \)
\( 2 = 2x \)

Step3: Dividir por 2 ambos lados

\( \frac{2}{2} = \frac{2x}{2} \)
\( 1 = x \)

Step1: Sumar 4 y 10

\( 14 = 2x \)

Step2: Dividir por 2 ambos lados

\( \frac{14}{2} = \frac{2x}{2} \)
\( 7 = x \)

Answer:

\( x = 3 \)

Problem 2: Solve \( 10 = 2(x + 4) \)