options: Represent and solve problems involving addition and subtraction.

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

Perform arithmetic operations on polynomials.

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

Reason about and solve one-variable equations and inequalities.

Analyze patterns and relationships.

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

Interpret the structure of expressions.

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

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

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

Use properties of operations to generate equivalent expressions.

Generate and analyze patterns.

Use polynomial identities to solve problems.

Use the four operations with whole numbers to solve problems.

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

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

Multiply and divide within 100.

Add and subtract within 20.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with addition and subtraction equations.

Solve equations and inequalities in one variable.

Understand the relationship between zeros and factors of polynomials.

Rewrite rational expressions.

Solve systems of equations.

Represent and analyze quantitative relationships between dependent and independent variables.

Write and interpret numerical expressions.

Create equations that describe numbers or relationships

Write expressions in equivalent forms to solve problems.

Represent and solve equations and inequalities graphically.

Represent and solve problems involving multiplication and division.

Work with radicals and integer exponents.

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

Gain familiarity with factors and multiples.
problem_activity: Problem 1
Which of the following quadratic functions will result in non-real solutions?
$${{1\over2}(x-1)^2-5=0}$$
$${{1\over2}(x-1)^2+5=0}$$
$$-{{1\over2}(x-1)^2+5=0}$$
$$-{{1\over2}(x-1)^2-5=0}$$
Explain your resoning.
Problem 2
Solve the following quadratic function. Identify the number and kind of solutions.
$${g(x)={2\over3} \left({x-{1\over9}} \right)^2 -{8\over27}}$$


correct_option_index: 8

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