options: Solve systems of equations.

Create equations that describe numbers or relationships

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

Perform arithmetic operations on polynomials.

Represent and analyze quantitative relationships between dependent and independent variables.

Analyze patterns and relationships.

Represent and solve problems involving multiplication and division.

Represent and solve problems involving addition and subtraction.

Gain familiarity with factors and multiples.

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

Multiply and divide within 100.

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

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

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

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

Add and subtract within 20.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Use polynomial identities to solve problems.

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

Rewrite rational expressions.

Work with radicals and integer exponents.

Work with addition and subtraction equations.

Use properties of operations to generate equivalent expressions.

Generate and analyze patterns.

Represent and solve equations and inequalities graphically.

Write expressions in equivalent forms to solve problems.

Reason about and solve one-variable equations and inequalities.

Write and interpret numerical expressions.

Understand the relationship between zeros and factors of polynomials.

Use the four operations with whole numbers to solve problems.

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

Solve equations and inequalities in one variable.

Interpret the structure of expressions.
problem_activity: Problem 1
Without solving the systems, explain why the following system must have the same solution.
{"table": [{"_attributes": {"class": ["table"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"p": [{"_attributes": {"style": "text-align:center"}, "_value": "System 1:"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${4x-5y=13 }$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${3x+6y=11}$$"}]}]}, {"p": [{"_attributes": {"style": "text-align:center"}, "_value": "System 2:"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${8x-10y=26}$$"}]}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${x-11y=2}$$"}]}]}]}]}]}]}
Problem 2
Solve the system of equations by writing a new system that eliminates one of the variables.
$${3x+2y=4}$$
$${4x+7y=1}$$


correct_option_index: 0