Solving Linear Equations with Decimal Coefficients

What is the main idea behind the properties of equality when solving equations?

• To ensure both sides of the equation remain equal

• To make one side of the equation larger

• To change the equation into a different form

• To solve equations without any operations

When solving the equation x + 2 = 5, what operation is performed to find the value of x?

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 2

What is the solution to the equation 3x = 6?

• x = 4

• x = 3

• x = 2

• x = 1

How do you solve the equation 0.15x = 45 using the properties of equality?

• Subtract 0.15 from both sides

• Add 0.15 to both sides

• Divide both sides by 0.15

• Multiply both sides by 0.15

What is the solution for the equation 0.23x = 207?

• x = 900

• x = 850

• x = 950

• x = 800