options: Use polynomial identities to solve problems.

Analyze patterns and relationships.

Perform arithmetic operations on polynomials.

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

Create equations that describe numbers or relationships

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

Write and interpret numerical expressions.

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

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Understand the relationship between zeros and factors of polynomials.

Gain familiarity with factors and multiples.

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

Reason about and solve one-variable equations and inequalities.

Use properties of operations to generate equivalent expressions.

Work with radicals and integer exponents.

Represent and solve problems involving multiplication and division.

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

Use the four operations with whole numbers to solve problems.

Multiply and divide within 100.

Interpret the structure of expressions.

Solve systems of equations.

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

Work with addition and subtraction equations.

Generate and analyze patterns.

Rewrite rational expressions.

Represent and solve problems involving addition and subtraction.

Write expressions in equivalent forms to solve problems.

Add and subtract within 20.

Represent and solve equations and inequalities graphically.

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

Represent and analyze quantitative relationships between dependent and independent variables.

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

Solve equations and inequalities in one variable.
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: 30