I can recognize and identify variables, terms, coefficients, constants, and like terms in algebraic expression

I can evaluate algebraic expressions by substituting values for variables and following the order of operations

apply the distributive, commutative, and associative properties to simplify algebraic expressions

combine like terms to simplify algebraic expressions to their simplest form

​determine if two algebraic expressions are equivalent by substituting values for the variables and comparing results.

solve for any variable in a literal equation using properties of equality and understand how to manipulate equations to isolate specific variables.

apply formulas in literal equations to find unknown values, such as finding the radius from a circumference formula or converting temperatures between Fahrenheit and Celsius.

rewrite and solve literal equations in various forms to demonstrate their equivalence, understanding how different manipulations yield the same result.

use literal equations to solve real-world problems, such as determining dimensions from given perimeters or areas, by substituting known values and simplifying the expressions to find unknown variables.

differentiate between discrete and continuous data and understand their representations on graphs

identify whether a graph should be represented with a line (continuous) or with separated points (discrete)

interpret and analyze discrete and continuous graphs to draw conclusions from the data presented

write equations with two variables to accurately represent real-world scenarios and determine possible values for unknown quantities.

solve for one variable in a two-variable equation when the other variable’s value is known, using properties of equality such as adding, subtracting, multiplying, or dividing both sides of an equation.

use written two-variable equations to solve practical problems, such as calculating dimensions or costs based on given constraints.

substitute back the values into the equation to check if the solution satisfies the equation, ensuring my solutions are correct.

write and graph linear equations that represent real-world scenarios, understanding how to translate practical situations into mathematical models.

interpret the solutions of linear equations on graphs, considering constraints and identifying which solutions are practical and viable.

distinguish between continuous and discrete graphs, understanding when each type is appropriate based on the nature of the data (e.g., fractional vs. whole number outputs).

solve real-world problems by graphing equations and analyzing the graphs to determine relationships between variables, ensuring solutions are appropriate for given constraints.