options: Generate and analyze patterns.

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

Use properties of operations to generate equivalent expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Perform arithmetic operations on polynomials.

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

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

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

Use polynomial identities to solve problems.

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

Solve equations and inequalities in one variable.

Write and interpret numerical expressions.

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

Work with addition and subtraction equations.

Represent and solve problems involving addition and subtraction.

Work with radicals and integer exponents.

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

Analyze patterns and relationships.

Gain familiarity with factors and multiples.

Rewrite rational expressions.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Solve systems of equations.

Represent and solve problems involving multiplication and division.

Write expressions in equivalent forms to solve problems.

Use the four operations with whole numbers to solve problems.

Multiply and divide within 100.

Interpret the structure of expressions.

Reason about and solve one-variable equations and inequalities.

Represent and solve equations and inequalities graphically.

Understand the relationship between zeros and factors of polynomials.

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

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

Create equations that describe numbers or relationships

Add and subtract within 20.
problem_activity: Task
A theme park has a log ride that can hold 12 people. They also have a weight limit of 1500 lbs per log for safety reasons. If the average adult weighs 150 lbs, the average child weighs 100 lbs and the log itself weighs 200, the ride can operate safely if the inequality
$$ 150A + 100C + 200 \leq 1500 $$
is satisfied ($A$ is the number of adults and $C$ is the number of children in the log ride together). There are several groups of children of differing numbers waiting to ride. Group one has 4 children, group two has 3 children, group three has 9 children, group four 6 children while group five has 5 children.
If 4 adults are already seated in the log, which groups of children can safely ride with them?


correct_option_index: 27