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

Work with addition and subtraction equations.

Represent and solve equations and inequalities graphically.

Add and subtract within 20.

Multiply and divide within 100.

Rewrite rational expressions.

Write and interpret numerical expressions.

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

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

Analyze patterns and relationships.

Interpret the structure of expressions.

Use the four operations with whole numbers to solve problems.

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

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

Reason about and solve one-variable equations and inequalities.

Understand the relationship between zeros and factors of polynomials.

Represent and solve problems involving multiplication and division.

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

Generate and analyze patterns.

Solve systems of equations.

Represent and solve problems involving addition and subtraction.

Solve equations and inequalities in one variable.

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

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

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

Create equations that describe numbers or relationships

Write expressions in equivalent forms to solve problems.

Use properties of operations to generate equivalent expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Gain familiarity with factors and multiples.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with radicals and integer exponents.

Use polynomial identities to solve problems.

Perform arithmetic operations on polynomials.
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: 12