options: Generate and analyze patterns.

Use properties of operations to generate equivalent expressions.

Represent and solve equations and inequalities graphically.

Work with radicals and integer exponents.

Perform arithmetic operations on polynomials.

Solve systems of equations.

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

Add and subtract within 20.

Understand the relationship between zeros and factors of polynomials.

Write expressions in equivalent forms to solve problems.

Solve equations and inequalities in one variable.

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

Interpret the structure of expressions.

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

Analyze patterns and relationships.

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

Use polynomial identities to solve problems.

Represent and solve problems involving multiplication and division.

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

Represent and solve problems involving addition and subtraction.

Use the four operations with whole numbers to solve problems.

Write and interpret numerical expressions.

Rewrite rational expressions.

Work with addition and subtraction equations.

Understand properties of multiplication and the relationship between multiplication and division.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Reason about and solve one-variable equations and inequalities.

Create equations that describe numbers or relationships

Gain familiarity with factors and multiples.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Multiply and divide within 100.
problem_activity: Task
Without graphing, construct a system of two linear equations where $(-2,3)$ is a solution to the first equation but not to the second equation, and where $(5,-2)$ is a solution to your system.
After you have created your system of equations, graph your system. Explain how your graph shows that your system satisfies the required conditions.


correct_option_index: 5