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

Use the four operations with whole numbers to solve problems.

Create equations that describe numbers or relationships

Reason about and solve one-variable equations and inequalities.

Gain familiarity with factors and multiples.

Solve systems of equations.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Generate and analyze patterns.

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

Use polynomial identities to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Write and interpret numerical expressions.

Write expressions in equivalent forms to solve problems.

Rewrite rational expressions.

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

Work with addition and subtraction equations.

Represent and solve equations and inequalities graphically.

Understand the relationship between zeros and factors of polynomials.

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

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

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

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

Use properties of operations to generate equivalent expressions.

Add and subtract within 20.

Analyze patterns and relationships.

Solve equations and inequalities in one variable.

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

Represent and solve problems involving addition and subtraction.

Perform arithmetic operations on polynomials.

Represent and solve problems involving multiplication and division.

Work with radicals and integer exponents.

Interpret the structure of expressions.

Multiply and divide within 100.
problem_activity: Samantha found the slope of the line that passed through the points
$${(2, 6)}$$
and
$${(-4, 8)}$$
. Her work is shown below.
$${{8-6\over {2-(-4)}} = {2\over 2+4 }= {2\over 6} = {1\over3}}$$
Samantha made an error in her work. Describe the error and then find the correct slope of the line through the two given points.


correct_option_index: 21