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

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

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

Rewrite rational expressions.

Gain familiarity with factors and multiples.

Write expressions in equivalent forms to solve problems.

Generate and analyze patterns.

Represent and analyze quantitative relationships between dependent and independent variables.

Use the four operations with whole numbers to solve problems.

Work with addition and subtraction equations.

Create equations that describe numbers or relationships

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

Reason about and solve one-variable equations and inequalities.

Multiply and divide within 100.

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

Use properties of operations to generate equivalent expressions.

Solve equations and inequalities in one variable.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Write and interpret numerical expressions.

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

Perform arithmetic operations on polynomials.

Work with radicals and integer exponents.

Interpret the structure of expressions.

Add and subtract within 20.

Understand the relationship between zeros and factors of polynomials.

Represent and solve problems involving addition and subtraction.

Analyze patterns and relationships.

Use polynomial identities to solve problems.

Solve systems of equations.

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

Represent and solve problems involving multiplication and division.

Represent and solve equations and inequalities graphically.
problem_activity: Problem 1
Solve the equation below. For each step, explain why each line of your work is equivalent to the line before it.
$${\frac{1}{2}(-12x+4)+5x=\frac{2}{3}(24)}$$
Problem 2
Find and explain the error in the work below.
$${15=-3(m-2)-9}$$
$${15=-3m+6-9}$$
$${15=-3m-3}$$
$${12=-3m}$$
$${m=-4}$$


correct_option_index: 14