## Standards with the same topic and subject but for other grades

A verbal expression can be represented by a variable expression. Numbers are used when they are known; variables are used when the numbers are unknown.

determine the slope, π, as rate of change in a proportional relationship between two quantities and write an equation in the form π¦ = ππ₯ to represent the relationship;

The student will. a) determine the slope, π, as rate of change in a proportional relationship between two quantities and write an equation in the form π¦ = ππ₯ to represent the relationship; b) graph a line representing a proportional relationship between two quantities given the slope and an ordered pair, or given the equation in π¦ = ππ₯ form where π represents the slope as rate of change. c) determine the π¦-intercept, π, in an additive relationship between two quantities and write an equation in the form π¦ = π₯ + π to represent the relationship; d) graph a line representing an additive relationship between two quantities given the y-intercept and an ordered pair, or given the equation in the form π¦ = π₯ + π, where π represents the π¦-intercept; and e) make connections between and among representations of a proportional or additive relationship between two quantities using verbal descriptions, tables, equations, and graphs.

evaluate algebraic expressions for given replacement values of the variables.

Use the order of operations and apply the properties of real numbers to evaluate expressions for given replacement values of the variables. Exponents are limited to 1, 2, 3, or 4 and bases are limited to positive integers. Expressions should not include braces { } but may include brackets [ ] and absolute value | |. Square roots are limited to perfect squares. Limit the number of replacements to no more than three per expression.

To evaluate an algebraic expression, substitute a given replacement value for a variable and apply the order of operations.

Apply the order of operations to evaluate expressions for given replacement values of the variables. Limit the number of replacements to no more than 3 per expression.

Solving an equation or inequality involves a process of determining which value(s) from a specified set, if any, make the equation or inequality a true statement. Substitution can be used to determine whether a given value(s) makes an equation or inequality true.