options: Solve systems of equations.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Write expressions in equivalent forms to solve problems.

Work with radicals and integer exponents.

Use polynomial identities to solve problems.

Use properties of operations to generate equivalent expressions.

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

Solve equations and inequalities in one variable.

Represent and solve equations and inequalities graphically.

Perform arithmetic operations on polynomials.

Write and interpret numerical expressions.

Represent and solve problems involving addition and subtraction.

Generate and analyze patterns.

Reason about and solve one-variable equations and inequalities.

Analyze patterns and relationships.

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

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

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

Use the four operations with whole numbers to solve problems.

Gain familiarity with factors and multiples.

Rewrite rational expressions.

Work with addition and subtraction equations.

Represent and solve problems involving multiplication and division.

Multiply and divide within 100.

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

Interpret the structure of expressions.

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

Understand the relationship between zeros and factors of polynomials.

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

Add and subtract within 20.

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

Create equations that describe numbers or relationships

Represent and analyze quantitative relationships between dependent and independent variables.
problem_activity: When Janaya started working, she researched how income tax was determined. She read that income up to and including $10,000 is taxed at a rate of 10%. Any income over $10,000 and up to and including $40,000 is taxed at a rate of 15%. For example, if Janaya earned $11,000 in one year, the first $10,000 would be taxed at a rate of 10% and the last $1,000 would be taxed at a rate of 15%.
How much income tax would Janaya pay if she earned $15,000 in one year?
Write a piecewise function to represent the situation.
How much more income tax would a person who earns $30,000 pay than a person who earns $10,000 in one year?


correct_option_index: 32