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

Analyze patterns and relationships.

Use the four operations with whole numbers to solve problems.

Perform arithmetic operations on polynomials.

Write expressions in equivalent forms to solve problems.

Understand the relationship between zeros and factors of polynomials.

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

Represent and solve equations and inequalities graphically.

Work with radicals and integer exponents.

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

Represent and solve problems involving multiplication and division.

Represent and solve problems involving addition and subtraction.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Solve equations and inequalities in one variable.

Solve systems of equations.

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

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

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

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

Multiply and divide within 100.

Rewrite rational expressions.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Generate and analyze patterns.

Use polynomial identities to solve problems.

Add and subtract within 20.

Write and interpret numerical expressions.

Reason about and solve one-variable equations and inequalities.

Interpret the structure of expressions.

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.

Create equations that describe numbers or relationships

Gain familiarity with factors and multiples.

Work with addition and subtraction equations.
problem_activity: Potassium-40 has a half-life of
$${1.28\times 10^9}$$
years, which means that after that many years, half of a sample has decayed into a different isotope of carbon. If a sample began with
$${115}$$
grams of potassium-40
$${30,000,000}$$
years ago, how much is left today? How long will it be until there are only
$${50}$$
grams remaining?


correct_option_index: 28