Quiz on Properties of Equality

What does it mean to solve an equation?

• To find the number of variables in the equation

• To rewrite the equation in a different form

• To determine the solution or solutions of the equation

• To eliminate all variables from the equation

According to the Addition Property of Equality, what can be added to both sides of an equation?

• Different numbers

• The same number, variable, or expression

• Only negative numbers

• Only positive numbers

In the equation x - 2 = 5, what should be added to both sides to isolate x?

• Subtract 5

• Add 2

• Add 5

• Subtract 2

What is the goal when using the Addition Property of Equality?

• To add different numbers to each side

• To isolate the variable

• To multiply both sides by zero

• To eliminate the equal sign

What does the Multiplication Property of Equality state?

• Each side of an equation can be multiplied by the same nonzero expression

• Each side of an equation can be multiplied by different numbers

• Each side of an equation can be multiplied by zero

• Each side of an equation can be divided by zero

Why must the expression used in the Multiplication Property of Equality be nonzero?

• To ensure the equation remains balanced

• To avoid making the equation undefined

• To simplify the equation

• To prevent the equation from becoming zero equals zero

In the equation 2x = 10, what operation should be performed to solve for x?

• Divide both sides by 2

• Multiply both sides by 2

• Add 2 to both sides

• Subtract 2 from both sides

How can you isolate a variable when it is being divided by a number?

• Divide both sides by the reciprocal of the number

• Multiply both sides by the reciprocal of the number

• Subtract the number from both sides

• Add the number to both sides

What is the reciprocal of 4/5?

• 4/5

• 1/4

• 1/5

• 5/4

What is the result of multiplying both sides of an equation by the reciprocal of a fraction?

• The equation becomes undefined

• The variable is eliminated

• The coefficient of the variable becomes one

• The fraction becomes zero