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Question 1

A)What is the solution of the equation 2(x + 9) = 16 when solving for x
𝑥
?(1 point)
Complete the statement: x = $$.
Question 2
A)What is the solution of the equation 8(x − 10) = 56 when solving for x
𝑥
?(1 point)
Complete the statement: x = $$.
Question 3
A)What is the solution of the equation 10(z − 1) = 50 when solving for z
𝑧
?(1 point)
Complete the statement: z = $$.
Question 4
A)What is the solution to the equation 5(x − 10) = 65 when solving for x
𝑥
?(1 point)
Complete the statement: x = $$.
Question 5
A)What is the solution to the equation −4(x − 8) =−32 when solving for x
𝑥
?(1 point)
Complete the statement: x = $$.

1 answer

Let's solve each equation step by step.

Question 1: Given the equation: \[ 2(x + 9) = 16 \]

  1. Divide both sides by 2: \[ x + 9 = 8 \]

  2. Subtract 9 from both sides: \[ x = 8 - 9 \] \[ x = -1 \]

Complete the statement: x = -1

Question 2: Given the equation: \[ 8(x - 10) = 56 \]

  1. Divide both sides by 8: \[ x - 10 = 7 \]

  2. Add 10 to both sides: \[ x = 7 + 10 \] \[ x = 17 \]

Complete the statement: x = 17

Question 3: Given the equation: \[ 10(z - 1) = 50 \]

  1. Divide both sides by 10: \[ z - 1 = 5 \]

  2. Add 1 to both sides: \[ z = 5 + 1 \] \[ z = 6 \]

Complete the statement: z = 6

Question 4: Given the equation: \[ 5(x - 10) = 65 \]

  1. Divide both sides by 5: \[ x - 10 = 13 \]

  2. Add 10 to both sides: \[ x = 13 + 10 \] \[ x = 23 \]

Complete the statement: x = 23

Question 5: Given the equation: \[ -4(x - 8) = -32 \]

  1. Divide both sides by -4: \[ x - 8 = 8 \]

  2. Add 8 to both sides: \[ x = 8 + 8 \] \[ x = 16 \]

Complete the statement: x = 16