options: Write expressions in equivalent forms to solve problems.

Perform arithmetic operations on polynomials.

Analyze patterns and relationships.

Represent and solve problems involving addition and subtraction.

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

Work with addition and subtraction equations.

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

Solve equations and inequalities in one variable.

Generate and analyze patterns.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Use the four operations with whole numbers to solve problems.

Reason about and solve one-variable equations and inequalities.

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

Multiply and divide within 100.

Add and subtract within 20.

Gain familiarity with factors and multiples.

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

Understand the relationship between zeros and factors of polynomials.

Create equations that describe numbers or relationships

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

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

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

Rewrite rational expressions.

Use polynomial identities to solve problems.

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

Work with radicals and integer exponents.

Represent and solve problems involving multiplication and division.

Solve systems of equations.

Represent and analyze quantitative relationships between dependent and independent variables.

Use properties of operations to generate equivalent expressions.

Write and interpret numerical expressions.

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

Interpret the structure of expressions.

Represent and solve equations and inequalities graphically.
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: 31