options: Work with addition and subtraction equations.

Represent and solve problems involving multiplication and division.

Reason about and solve one-variable equations and inequalities.

Represent and solve equations and inequalities graphically.

Create equations that describe numbers or relationships

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

Write and interpret numerical expressions.

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

Solve equations and inequalities in one variable.

Add and subtract within 20.

Use properties of operations to generate equivalent expressions.

Write expressions in equivalent forms to solve problems.

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

Work with radicals and integer exponents.

Represent and solve problems involving addition and subtraction.

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

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

Analyze patterns and relationships.

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

Understand the relationship between zeros and factors of polynomials.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Rewrite rational expressions.

Multiply and divide within 100.

Perform arithmetic operations on polynomials.

Generate and analyze patterns.

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

Gain familiarity with factors and multiples.

Represent and analyze quantitative relationships between dependent and independent variables.

Solve systems of equations.

Use polynomial identities to solve problems.

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

Interpret the structure of expressions.

Use the four operations with whole numbers to solve problems.
problem_activity: Given below are the graphs of two lines,
$${y = 0.5x + 5}$$
and
$${y = -1.25x + 8}$$
, and several regions and points are shown. Note that C is the region that appears completely white in the graph.
[IMG]
For each region and point, write a system of equations or inequalities that has the region or point as its solution set.
Verify that a point that lies in region A satisfies the system of inequalities that you wrote for region A.
Without choosing any specific numbers, explain how you know that all the points in quadrant 3 must satisfy the inequalities for region A.


correct_option_index: 3

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