options: Solve equations and inequalities in one variable.

Gain familiarity with factors and multiples.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Analyze patterns and relationships.

Work with addition and subtraction equations.

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

Understand the relationship between zeros and factors of polynomials.

Interpret the structure of expressions.

Use the four operations with whole numbers to solve problems.

Add and subtract within 20.

Use properties of operations to generate equivalent expressions.

Solve systems of equations.

Create equations that describe numbers or relationships

Write and interpret numerical expressions.

Rewrite rational expressions.

Multiply and divide within 100.

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

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

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

Write expressions in equivalent forms to solve problems.

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

Use polynomial identities to solve problems.

Perform arithmetic operations on polynomials.

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

Work with radicals and integer exponents.

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

Generate and analyze patterns.

Reason about and solve one-variable equations and inequalities.

Represent and solve problems involving multiplication and division.

Represent and solve equations and inequalities graphically.

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

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

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve problems involving addition and subtraction.
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: 0

20