options: Represent and solve problems involving multiplication and division.

Work with radicals and integer exponents.

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

Use polynomial identities to solve problems.

Analyze patterns and relationships.

Solve systems of equations.

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

Create equations that describe numbers or relationships

Represent and solve equations and inequalities graphically.

Multiply and divide within 100.

Generate and analyze patterns.

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

Perform arithmetic operations on polynomials.

Gain familiarity with factors and multiples.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Understand the relationship between zeros and factors of polynomials.

Solve equations and inequalities in one variable.

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

Use properties of operations to generate equivalent expressions.

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

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.

Represent and solve problems involving addition and subtraction.

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

Write and interpret numerical expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Add and subtract within 20.

Reason about and solve one-variable equations and inequalities.

Interpret the structure of expressions.

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

Write expressions in equivalent forms to solve problems.

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

Rewrite rational expressions.

Work with addition and subtraction equations.
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: 7