options: Represent and solve problems involving addition and subtraction.

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

Represent and solve problems involving multiplication and division.

Rewrite rational expressions.

Understand the relationship between zeros and factors of polynomials.

Use properties of operations to generate equivalent expressions.

Perform arithmetic operations on polynomials.

Multiply and divide within 100.

Gain familiarity with factors and multiples.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Write and interpret numerical expressions.

Use the four operations with whole numbers to solve problems.

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

Solve systems of equations.

Write expressions in equivalent forms to solve problems.

Use polynomial identities to solve problems.

Add and subtract within 20.

Analyze patterns and relationships.

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

Solve equations and inequalities in one variable.

Work with radicals and integer exponents.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

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

Generate and analyze patterns.

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

Represent and solve equations and inequalities graphically.

Reason about and solve one-variable equations and inequalities.

Interpret the structure of expressions.

Work with addition and subtraction equations.

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

Create equations that describe numbers or relationships
problem_activity: Task
The population of a country is initially 2 million people and is increasing at 4% per year. The country's annual food supply is initially adequate for 4 million people and is increasing at a constant rate adequate for an additional 0.5 million people per year.
Based on these assumptions, in approximately what year will this country ﬁrst experience shortages of food?
If the country doubled its initial food supply and maintained a constant rate of increase in the supply adequate for an additional 0.5 million people per year, would shortages still occur?  In approximately which year?
If the country doubled the rate at which its food supply increases, in addition to doubling its initial food supply, would shortages still occur?


correct_option_index: 28