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

Use polynomial identities to solve problems.

Reason about and solve one-variable equations and inequalities.

Write and interpret numerical expressions.

Analyze patterns and relationships.

Solve systems of equations.

Represent and solve problems involving multiplication and division.

Interpret the structure of expressions.

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

Add and subtract within 20.

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

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

Write expressions in equivalent forms to solve problems.

Use properties of operations to generate equivalent expressions.

Work with radicals and integer exponents.

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

Solve equations and inequalities in one variable.

Use the four operations with whole numbers to solve problems.

Gain familiarity with factors and multiples.

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

Understand the relationship between zeros and factors of polynomials.

Rewrite rational expressions.

Multiply and divide within 100.

Create equations that describe numbers or relationships

Perform arithmetic operations on polynomials.

Represent and solve problems involving addition and subtraction.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Represent and solve equations and inequalities graphically.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Work with addition and subtraction equations.

Generate and analyze patterns.

Analyze and solve linear equations and pairs of simultaneous linear equations.
problem_activity: Problem 1
How do the following problems represent differences of two squares? Factor to show the relationships.
$${4x^4-1}$$
$${x^{10}-36}$$
Problem 2
Factor the following functions and name all of the real and complex zeros.
$${18x^4-32}$$


correct_option_index: 7

20