few_shots: Example:
Problem/activity:
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?


Mathematical concept/skill options: 
A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
B. Understand ratio concepts and use ratio reasoning to solve problems.


Your response:
B

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_000972

6
options: Use polynomial identities to solve problems.

Gain familiarity with factors and multiples.

Represent and solve problems involving addition and subtraction.

Solve systems of equations.

Use properties of operations to generate equivalent expressions.

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

Solve equations and inequalities in one variable.

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

Write expressions in equivalent forms to solve problems.

Reason about and solve one-variable equations and inequalities.

Create equations that describe numbers or relationships

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

Interpret the structure of expressions.

Understand the relationship between zeros and factors of polynomials.

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

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

Analyze patterns and relationships.

Generate and analyze patterns.

Represent and analyze quantitative relationships between dependent and independent variables.

Work with addition and subtraction equations.

Multiply and divide within 100.

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

Represent and solve equations and inequalities graphically.

Add and subtract within 20.

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

Rewrite rational expressions.

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

Work with radicals and integer exponents.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Write and interpret numerical expressions.

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

Use the four operations with whole numbers to solve problems.

Represent and solve problems involving multiplication and division.

Perform arithmetic operations on polynomials.
problem_activity: Problem 1
Write the following as an imaginary number.
$${\sqrt{-72}}$$
Why is this not a complex number?
Problem 2
What kind of roots will the following quadratic function have?
$${4x-3x^2=10}$$


correct_option_index: 6