options: Apply and extend previous understandings of arithmetic to algebraic expressions.

Analyze patterns and relationships.

Use properties of operations to generate equivalent expressions.

Write and interpret numerical expressions.

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

Represent and solve equations and inequalities graphically.

Solve systems of equations.

Use the four operations with whole numbers to solve problems.

Represent and solve problems involving addition and subtraction.

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

Create equations that describe numbers or relationships

Reason about and solve one-variable equations and inequalities.

Use polynomial identities to solve problems.

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

Add and subtract within 20.

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

Generate and analyze patterns.

Perform arithmetic operations on polynomials.

Work with addition and subtraction equations.

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

Represent and solve problems involving multiplication and division.

Gain familiarity with factors and multiples.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Write expressions in equivalent forms to solve problems.

Solve equations and inequalities in one variable.

Interpret the structure of expressions.

Understand the relationship between zeros and factors of polynomials.

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

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

Multiply and divide within 100.

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

Rewrite rational expressions.

Work with radicals and integer exponents.
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?
|          **           System A          **          |          **           System B          **          |
|-----------------------------------------------------|-----------------------------------------------------|
| $${y=2(-x+3)}$$                        $${2x+y=4}$$ | $${5x+20y=15}$$                        $${x+4y=3}$$ |


correct_option_index: 28