Exploring Properties of Equality in One Variable Equations

What does the addition property of equality allow you to do?

• Multiply both sides of an equation by the same value

• Subtract the same value from both sides of an equation

• Add the same value to both sides of an equation

• Add different values to each side of an equation

If you have the equation x - 3 = 5, what value should you add to both sides to solve for x?

• 5

• 3

• 8

• 0

What is the main goal when using the subtraction property of equality?

• To multiply both sides by a value

• To get the variable by itself

• To add a value to both sides

• To divide both sides by a value

In the equation x + 7 = 10, what should you subtract from both sides to isolate x?

• 0

• 3

• 7

• 10

What does the multiplication property of equality state?

• You can multiply both sides of an equation by the same value

• You can subtract the same value from both sides of an equation

• You can add the same value to both sides of an equation

• You can divide both sides of an equation by the same value

If you have the equation 1/2x = 3, what should you multiply both sides by to solve for x?

• 2

• 3

• 1/2

• 6

What is the division property of equality?

• You can divide both sides of an equation by the same value

• You can multiply both sides of an equation by the same value

• You can subtract the same value from both sides of an equation

• You can add the same value to both sides of an equation

In the equation 3x = 15, what should you divide both sides by to solve for x?

• 5

• 15

• 3

• 1

When solving equations with variables on both sides, what is the primary goal?

• To get all variables on one side

• To multiply both sides by a variable

• To divide both sides by a variable

• To add variables to both sides

If you have the equation 5x - 2 = 4x + 3, what should you do first to start solving for x?

• Multiply both sides by 5

• Subtract 4x from both sides

• Divide both sides by 4

• Add 2 to both sides