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

Perform arithmetic operations on polynomials.

Reason about and solve one-variable equations and inequalities.

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

Generate and analyze patterns.

Solve equations and inequalities in one variable.

Interpret the structure of expressions.

Represent and solve problems involving multiplication and division.

Create equations that describe numbers or relationships

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

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

Work with radicals and integer exponents.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Use the four operations with whole numbers to solve problems.

Use polynomial identities to solve problems.

Use properties of operations to generate equivalent expressions.

Add and subtract within 20.

Gain familiarity with factors and multiples.

Multiply and divide within 100.

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

Understand the relationship between zeros and factors of polynomials.

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve problems involving addition and subtraction.

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

Work with addition and subtraction equations.

Rewrite rational expressions.

Write expressions in equivalent forms to solve problems.

Analyze patterns and relationships.

Solve systems of equations.

Write and interpret numerical expressions.

Represent and solve equations and inequalities graphically.

Understand solving equations as a process of reasoning and explain the reasoning.
problem_activity: Task
The students in Mr. Sanchez's class are converting distances measured in miles to kilometers. To estimate the number of kilometers, Abby takes the number of miles, doubles it, then subtracts 20% of the result. Renato ﬁrst divides the number of miles by 5, then multiplies the result by 8.
Write an algebraic expression for each method.
Use your answer to part (a) to decide if the two methods give the same answer.


correct_option_index: 17