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, in json format:
{
  "explanation": "This problem focuses on the ratio between two ingredients. Students do not have to analyze proportional relationships in-depth, which is reserved for a higher grade level, but rather use ratios to find missing values.",
  "answer": "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: Reason about and solve one-variable equations and inequalities.

Represent and solve problems involving addition and subtraction.

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

Multiply and divide within 100.

Represent and solve problems involving multiplication and division.

Write expressions in equivalent forms to solve problems.

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

Solve systems of equations.

Analyze patterns and relationships.

Solve equations and inequalities in one variable.

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

Write and interpret numerical expressions.

Work with addition and subtraction equations.

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.

Work with radicals and integer exponents.

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

Use properties of operations to generate equivalent expressions.

Perform arithmetic operations on polynomials.

Generate and analyze patterns.

Rewrite rational expressions.

Represent and solve equations and inequalities graphically.

Gain familiarity with factors and multiples.

Add and subtract within 20.

Create equations that describe numbers or relationships

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

Represent and analyze quantitative relationships between dependent and independent variables.

Use the four operations with whole numbers to solve problems.

Understand the relationship between zeros and factors of polynomials.

Use polynomial identities to solve problems.

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

Interpret the structure of expressions.

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

Understand and apply properties of operations and the relationship between addition and subtraction.
problem_activity: Simplify the following expressions:
a.
$$(2^5)^7$$
b.
$$(91^3\times 19\times 103^8)^4$$
c.
$$(p^4q^5r)^9$$
d.
$$2^7\over 3^7$$


correct_option_index: 15