options: Write and interpret numerical expressions.

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

Work with radicals and integer exponents.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and solve problems involving addition and subtraction.

Represent and solve equations and inequalities graphically.

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

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

Rewrite rational expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Analyze patterns and relationships.

Interpret the structure of expressions.

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

Represent and solve problems involving multiplication and division.

Add and subtract within 20.

Work with addition and subtraction equations.

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

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

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

Gain familiarity with factors and multiples.

Generate and analyze patterns.

Perform arithmetic operations on polynomials.

Multiply and divide within 100.

Create equations that describe numbers or relationships

Use properties of operations to generate equivalent expressions.

Solve equations and inequalities in one variable.

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

Understand the relationship between zeros and factors of polynomials.

Use polynomial identities to solve problems.

Use the four operations with whole numbers to solve problems.

Write expressions in equivalent forms to solve problems.

Solve systems of equations.

Reason about and solve one-variable equations and inequalities.

Understand properties of multiplication and the relationship between multiplication and division.
problem_activity: Problem 1
Graph the system of equations in the coordinate plane and identify the solution.
| $${y=4}$$                        $${y=-x+2}$$ | .. image:: https://d21royfkw9g4l6.cloudfront.net/uploads/2022/09/23/slice-1-2022-09-23t102423420.png |
|-----------------------------------------------|------------------------------------------------------------------------------------------------------|
Problem 2
Graph the system of equations in the coordinate plane. Identify the solution to the system and verify it algebraically.
| $${2x-3y=18}$$                          $${2x+y=2}$$ | |https://d21royfkw9g4l6.cloudfront.net/uploads/2022/09/23/slice-1-2022-09-23t103817981.png|  |https://d21royfkw9g4l6.cloudfront.net/uploads/2022/09/23/slice-1-2022-09-23t103817981.png| image:: https://d21royfkw9g4l6.cloudfront.net/uploads/2022/09/23/slice-1-2022-09-23t103817981.png |
|------------------------------------------------------|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
Problem 3
Line
$$a$$
is shown on the coordinate grid. Construct line
$$b$$
on the coordinate grid so that
Line
$$a$$
and line
$$b$$
represent a system of linear equations with a solution of (
$$6$$
,
$$-2$$
).
The slope of line
$$b$$
is greater than
$$-1$$
and less than
$$0$$
.
The
$$y$$
-intercept of line
$$b$$
is positive.
[IMG]


correct_option_index: 16