One-Step Equations and Inequalities with Integers Challenge

What is a variable in the context of equations?

• A fixed quantity

• A specific number

• A placeholder for an unknown number

• A type of operation

What must be maintained when solving equations?

• The variable must be on the left side

• Only addition operations are allowed

• The quantities on both sides must remain equal

• The equation must contain integers

What is the inverse operation of addition?

• Multiplication

• Subtraction

• Division

• None of the above

How do you solve an equation with a variable plus a positive integer equals a number?

• Multiply both sides by the integer

• Add the integer to both sides

• Divide both sides by the integer

• Subtract the integer from both sides

What are additive inverses?

• Numbers that multiply to 0

• Numbers that multiply to -1

• Numbers that add up to 0

• Numbers that add up to 1

What property is used to solve equations by adding or subtracting the same amount from both sides?

• Commutative property

• Distributive property

• Multiplicative property of equality

• Addition property of equality

How are inequalities similar to equations when solving?

• They use different operations

• They cannot include integers

• They maintain a relationship between quantities

• They always have the same solution

What symbol is used to represent a number that is less than or equal to another number?

• =

• <=

• >

• <

How do you graph a solution that is less than or equal to a certain number?

• With an open circle and shading to the left

• With a closed circle and shading to the right

• With an open circle and shading to the right

• With a closed circle and shading to the left

Which statement is true when graphing inequalities?

• All numbers are equal on a number line

• Smaller numbers are always to the right

• Larger numbers are always to the right

• Larger numbers are always to the left