options: Use the four operations with whole numbers to solve problems.

Interpret the structure of expressions.

Generate and analyze patterns.

Analyze patterns and relationships.

Solve equations and inequalities in one variable.

Solve systems of equations.

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.

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

Work with addition and subtraction equations.

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

Write and interpret numerical expressions.

Represent and solve equations and inequalities graphically.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Multiply and divide within 100.

Represent and solve problems involving multiplication and division.

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

Add and subtract within 20.

Understand the relationship between zeros and factors of polynomials.

Write expressions in equivalent forms to solve problems.

Perform arithmetic operations on polynomials.

Rewrite rational expressions.

Use properties of operations to generate equivalent expressions.

Use polynomial identities to solve problems.

Work with radicals and integer exponents.

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

Gain familiarity with factors and multiples.

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

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

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
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: 10