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

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

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

Use the four operations with whole numbers to solve problems.

Gain familiarity with factors and multiples.

Generate and analyze patterns.

Use polynomial identities to solve problems.

Write expressions in equivalent forms to solve problems.

Work with radicals and integer exponents.

Represent and solve equations and inequalities graphically.

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

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

Analyze patterns and relationships.

Create equations that describe numbers or relationships

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

Write and interpret numerical expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Add and subtract within 20.

Multiply and divide within 100.

Rewrite rational expressions.

Represent and solve problems involving multiplication and division.

Interpret the structure of expressions.

Work with addition and subtraction equations.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Reason about and solve one-variable equations and inequalities.

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

Understand the relationship between zeros and factors of polynomials.

Perform arithmetic operations on polynomials.

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

Solve systems of equations.

Represent and solve problems involving addition and subtraction.

Use properties of operations to generate equivalent expressions.

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

Solve equations and inequalities in one variable.
problem_activity: Task
Bernardo and Silvia play the following game. An integer between 0
and 999, inclusive, is selected and given to Bernardo. Whenever
Bernardo receives a number, he doubles it and passes the result to
Silvia. Whenever Silvia receives a number, she adds 50 to it and
passes the result to Bernardo. The winner is the last person who
produces a number less than 1000. What is the smallest initial number that results in a win for Bernardo?


correct_option_index: 13