options: Write expressions in equivalent forms to solve problems.

Use properties of operations to generate equivalent expressions.

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

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

Analyze patterns and relationships.

Create equations that describe numbers or relationships

Apply and extend previous understandings of arithmetic to algebraic expressions.

Rewrite rational expressions.

Use the four operations with whole numbers to solve problems.

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

Represent and solve problems involving addition and subtraction.

Represent and solve equations and inequalities graphically.

Solve equations and inequalities in one variable.

Write and interpret numerical expressions.

Solve systems of equations.

Generate and analyze patterns.

Add and subtract within 20.

Multiply and divide within 100.

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

Gain familiarity with factors and multiples.

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

Represent and solve problems involving multiplication and division.

Reason about and solve one-variable equations and inequalities.

Work with addition and subtraction equations.

Represent and analyze quantitative relationships between dependent and independent variables.

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

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

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

Perform arithmetic operations on polynomials.

Interpret the structure of expressions.

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

Use polynomial identities to solve problems.

Understand the relationship between zeros and factors of polynomials.

Work with radicals and integer exponents.
problem_activity: Problem 1
Solve the equation by completing the square. Show each step clearly.
$${3x^2-5x+1=0}$$
Problem 2
A quadratic equation is written below in standard, general form.
$${ax^2+bx+c=0}$$
Solve for
$$x$$
by completing the square as you did in Anchor Problem #1.
Problem 3
Recall the equation from Anchor Problem #1:
$${3x^2-5x+1=0}$$
.
Use the quadratic formula to determine the exact roots of the equation.


correct_option_index: 12