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

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

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

Understand the relationship between zeros and factors of polynomials.

Use the four operations with whole numbers to solve problems.

Write and interpret numerical expressions.

Solve equations and inequalities in one variable.

Rewrite rational expressions.

Gain familiarity with factors and multiples.

Solve systems of equations.

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.

Work with addition and subtraction equations.

Multiply and divide within 100.

Represent and solve problems involving addition and subtraction.

Generate and analyze patterns.

Represent and solve problems involving multiplication and division.

Perform arithmetic operations on polynomials.

Analyze patterns and relationships.

Add and subtract within 20.

Use properties of operations to generate equivalent expressions.

Create equations that describe numbers or relationships

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

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

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

Write expressions in equivalent forms to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Interpret the structure of expressions.

Represent and solve equations and inequalities graphically.

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

Reason about and solve one-variable equations and inequalities.

Work with radicals and integer exponents.

Use polynomial identities to solve problems.
problem_activity: Problem 1
Solve the system of linear equations using substitution. Describe how you can solve any system using substitution.
$${x+2y=8}$$
$${-3x+2y=16}$$
Problem 2
Solve the two systems below using substitution. Compare and contrast the two solutions. What do they each mean?
{"table": [{"_attributes": {"class": ["table"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "System A"}]}, {"_attributes": {"style": "text-align: center;"}, "strong": [{"_value": "System B"}]}]}, {"td": [{"p": [{"_attributes": {"style": "text-align: center;"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${y=2(-x+3)}$$"}]}, {"_attributes": {"style": "text-align: center;"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2x+y=4}$$"}]}]}, {"p": [{"_attributes": {"style": "text-align: center;"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${5x+20y=15}$$"}]}, {"_attributes": {"style": "text-align: center;"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${x+4y=3}$$"}]}]}]}]}]}]}


correct_option_index: 0