Questions: Using x as the unknown number, write the statement below as an equation. Four times a number, minus 3 , is equal to three times the number, plus 2. Choose the equation that represents the given sentence. A. (4-3) * x = (3+2) * x B. 4(x-3) = 3(x+2) C. 4x - 3 = 3x + 2 D. 4 * 3 - x = 3 * 2 + x

Using x as the unknown number, write the statement below as an equation. Four times a number, minus 3 , is equal to three times the number, plus 2.

Choose the equation that represents the given sentence.
A. (4-3) * x = (3+2) * x
B. 4(x-3) = 3(x+2)
C. 4x - 3 = 3x + 2
D. 4 * 3 - x = 3 * 2 + x

Transcript text: mylab.pearson.com Access Pearson 01-O6-Sherman-Fall2024 mework: Lesson 2, Section 2.4 Homework Question 2, 2.4.3 Part 1 of 2 Using x as the unknown number, write the statement below as an equation. Four times a number, minus 3 , is equal to three times the number, plus 2. Choose the equation that represents the given sentence. A. $(4-3) \cdot x=(3+2) \cdot x$ B. $4(x-3)=3(x+2)$ C. $4 x-3=3 x+2$ D. $4 \cdot 3-x=3 \cdot 2+x$

Solution

Solution Steps

To translate the given statement into an equation, identify the expressions for "four times a number" and "three times the number," and then set up the equation based on the operations described. The statement "Four times a number, minus 3, is equal to three times the number, plus 2" can be directly translated into an algebraic equation.

Step 1: Define the Variables

Let $ x $ represent the unknown number.

Step 2: Translate the Statement into an Equation

The statement "Four times a number, minus 3, is equal to three times the number, plus 2" can be expressed mathematically as: \[ 4x - 3 = 3x + 2 \]

Step 3: Rearrange the Equation

To isolate $ x $, we can rearrange the equation: \[ 4x - 3x = 2 + 3 \] This simplifies to: \[ x = 5 \]