Question

Two less than the product of x and four

the expression is set equal to 10 to create an equation. what value could replace x in the expression and make the resulting equation true?
a. 48
b. 3
c. 38
d. 8

Answer 1

To solve 'two less than the product of x and four equals 10', the equation 4x - 2 = 10 is used. Solving for x gives x = 3, which aligns with option b.

Step-by-step explanation:

The student is asked to solve an equation generated from an algebraic expression involving a variable x. Specifically, the question involves creating an equation that represents 'two less than the product of x and four' and setting this expression equal to 10. Mathematically, this translates to the equation 4x - 2 = 10. To find the value of x, we solve for x:

• Add 2 to both sides: 4x - 2 + 2 = 10 + 2
• This simplifies to: 4x = 12
• Divide both sides by 4: x = 12 / 4
• The solution is: x = 3

Therefore, the value of x that would make the equation true is 3, which corresponds to option b.

Answer 2

The correct value of x that satisfies the equation 4x - 2 = 10, obtained by solving the equation, is 3.

Step-by-step explanation:

The expression given is 'two less than the product of x and four', which translates to the mathematical expression 4x - 2. When this expression is set equal to 10, we get the equation 4x - 2 = 10. To find the value of x that satisfies the equation, we can perform the following steps:

1. Add 2 to both sides of the equation: 4x = 12.
2. Divide both sides by 4: x = 3.

Therefore, the correct value for x that makes the equation true is 3, which corresponds to option b.