options: Perform arithmetic operations on polynomials.

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

Add and subtract within 20.

Represent and solve problems involving multiplication and division.

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

Work with radicals and integer exponents.

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

Solve systems of equations.

Generate and analyze patterns.

Represent and solve problems involving addition and subtraction.

Write expressions in equivalent forms to solve problems.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Interpret the structure of expressions.

Use the four operations with whole numbers to solve problems.

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

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

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

Represent and solve equations and inequalities graphically.

Multiply and divide within 100.

Rewrite rational expressions.

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

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

Analyze patterns and relationships.

Solve equations and inequalities in one variable.

Work with addition and subtraction equations.

Gain familiarity with factors and multiples.

Write and interpret numerical expressions.

Use properties of operations to generate equivalent expressions.

Use polynomial identities to solve problems.

Understand the relationship between zeros and factors of polynomials.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Create equations that describe numbers or relationships

Reason about and solve one-variable equations and inequalities.
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: 28