options: Perform arithmetic operations on polynomials.

Use the four operations with whole numbers to solve problems.

Reason about and solve one-variable equations and inequalities.

Work with equal groups of objects to gain foundations for multiplication.

Work with addition and subtraction equations.

Multiply and divide within 100.

Analyze patterns and relationships.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Write and interpret numerical expressions.

Understand and apply properties of operations and the relationship between addition and subtraction.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Represent and analyze quantitative relationships between dependent and independent variables.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Use properties of operations to generate equivalent expressions.

Create equations that describe numbers or relationships

Represent and solve equations and inequalities graphically.

Represent and solve problems involving multiplication and division.

Represent and solve problems involving addition and subtraction.

Generate and analyze patterns.

Understand the connections between proportional relationships, lines, and linear equations.

Write expressions in equivalent forms to solve problems.

Add and subtract within 20.

Understand the relationship between zeros and factors of polynomials.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Solve systems of equations.

Work with radicals and integer exponents.

Understand solving equations as a process of reasoning and explain the reasoning.

Interpret the structure of expressions.

Use polynomial identities to solve problems.

Gain familiarity with factors and multiples.

Rewrite rational expressions.

Solve equations and inequalities in one variable.

Understand properties of multiplication and the relationship between multiplication and division.
problem_activity: Task
Megan is working solving the equation $$\frac{2}{x^2-1} - \frac{1}{x-1} = \frac{1}{x+1}.$$ She says
If I clear the denominators I find that the only solution is $x = 1$ but when I substitute in $x = 1$ the equation does not make any sense.
Is Megan's work correct?
Why does Megan's method produce an $x$ value that does not solve the equation?


correct_option_index: 27