options: Write and interpret numerical expressions.

Solve systems of equations.

Multiply and divide within 100.

Reason about and solve one-variable equations and inequalities.

Work with radicals and integer exponents.

Represent and solve equations and inequalities graphically.

Analyze patterns and relationships.

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

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

Represent and solve problems involving addition and subtraction.

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

Use polynomial identities to solve problems.

Perform arithmetic operations on polynomials.

Solve equations and inequalities in one variable.

Interpret the structure of expressions.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Work with addition and subtraction equations.

Use properties of operations to generate equivalent expressions.

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

Gain familiarity with factors and multiples.

Write expressions in equivalent forms to solve problems.

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

Understand the relationship between zeros and factors of polynomials.

Use the four operations with whole numbers to solve problems.

Represent and solve problems involving multiplication and division.

Add and subtract within 20.

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

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

Generate and analyze patterns.

Rewrite rational expressions.

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

Create equations that describe numbers or relationships
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: 33