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

Rewrite rational expressions.

Multiply and divide within 100.

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

Reason about and solve one-variable equations and inequalities.

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

Create equations that describe numbers or relationships

Use properties of operations to generate equivalent expressions.

Perform arithmetic operations on polynomials.

Understand the relationship between zeros and factors of polynomials.

Use polynomial identities to solve problems.

Represent and solve problems involving multiplication and division.

Solve equations and inequalities in one variable.

Represent and solve problems involving addition and subtraction.

Work with radicals and integer exponents.

Write expressions in equivalent forms to solve problems.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Analyze patterns and relationships.

Write and interpret numerical expressions.

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

Add and subtract within 20.

Use the four operations with whole numbers to solve problems.

Solve systems of equations.

Represent and analyze quantitative relationships between dependent and independent variables.

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

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

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

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

Represent and solve equations and inequalities graphically.

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

Work with addition and subtraction equations.

Interpret the structure of expressions.

Generate and analyze patterns.

Gain familiarity with factors and multiples.
problem_activity: Problem 1
Below is a piecewise function that relates yards traveled and seconds.
[IMG]
Write a story that would result in this graph to model the situation.
Problem 2
Your favorite dog groomer charges according to your dog’s weight. If your dog is 15 pounds and under, the groomer charges $35. If your dog is between 15 and 40 pounds, she charges $40. If your dog is over 40 pounds, she charges $40, plus an additional $2 for each pound.
Write a piecewise function that describes what your dog groomer charges.
Graph the function.


correct_option_index: 6