Solving Linear Equations in One Variable

What does a balanced hanger represent in the context of linear equations?

• A physics principle

• A system of inequalities

• A balanced chemical equation

• An equation where both sides have equal value

Tags

CCSS.HSA.REI.A.1

What does removing the same weight from both sides of a balanced hanger represent?

• Maintaining the balance of an equation

• Solving a quadratic equation

• None of the above

• Creating an inequality

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.5

What happens if you add the same number to both sides of an equation?

• The equation simplifies to zero

• The balance of the equation is maintained

• One side becomes heavier

• The equation becomes unbalanced

Tags

CCSS.HSA.REI.A.1

What is the effect of adding negative numbers to both sides of an equation?

• It unbalances the equation

• It reverses the equation

• It keeps the equation balanced

• It nullifies the equation

Tags

CCSS.HSA.REI.A.1

What is the result of multiplying both sides of an equation by the same non-zero number?

• Only one side of the equation changes

• The variables get cancelled out

• The equation remains balanced

• The equation becomes undefined

Tags

CCSS.HSA.REI.B.3

Why should you not divide by zero when solving equations?

• It results in an undefined operation

• It simplifies the equation too much

• It has no effect on the equation

• It eliminates the variable

Tags

CCSS.HSA.APR.D.7

How can you verify if a solution to an equation is correct?

• By graphing the equation

• By substituting the solution back into the original equation

• By rewriting the equation

• By consulting a textbook

Tags

CCSS.HSA.REI.A.1

What should you do if substituting a solution results in a false statement?

• Check for calculation errors

• Ignore the result

• Start solving from the beginning

• Accept the solution as approximate

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

What common mistake might lead to an incorrect solution in solving equations?

• All of the above

• Forgetting to add a constant

• Multiplying instead of dividing

• Distributing a coefficient incorrectly

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

What is a common error to watch for when solving equations?

• Correctly placing the decimal point

• Using the wrong formula

• Misinterpreting the problem statement

• Forgetting to write a variable

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3