Represent & Solve [1 variable]
6th Grade


Arkansas Academic Standards:
6.EE.B.5

Understand solving an equation or inequality as a process of answering a question: Using substitution, which values from a specified set, if any, make the equation or inequality true?

Arizona  K12 Academic Standards:
6.EE.B.5

Understand solving an equation or inequality as a process of reasoning to find the value(s) of the variables that make that equation or inequality true. Use substitution to determine whether a given number in a specified set makes an equation or inequality true. 
Common Core State Standards:
Math.6.EE.5 or 6.EE.B.5

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. 
North Carolina  Standard Course of Study:
6.EE.5

Use substitution to determine whether a given number in a specified set makes an equation true. 
Tennessee Academic Standards:
6.EE.B.5

Understand solving an equation or inequality is carried out by determining if any of the values from a given set make the equation or inequality true. Use substitution to determine whether a given number in a specified set makes an equation or inequality true. 
Alabama Course of Study Standards:
18

Determine whether a value is a solution to an equation or inequality by using substitution to conclude whether a
given value makes the equation or inequality true. 
Arkansas Academic Standards:
6.EE.B.6

 Use variables to represent numbers and write expressions when solving a realworld or mathematical problem
 Understand that a variable can represent an unknown number or any number in a specified set

Arizona  K12 Academic Standards:
6.EE.B.6

Use variables to represent numbers and write expressions when solving mathematical problems and problems in realworld context; understand that a variable can represent an unknown number or any number in a specified set. 
Common Core State Standards:
Math.6.EE.6 or 6.EE.B.6
Tennessee Academic Standards:
6.EE.B.6

Use variables to represent numbers and write expressions when solving a realworld or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. 
Georgia Standards of Excellence (GSE):
6.PAR.7.2

Write onestep equations and inequalities to represent and solve problems; explain that a variable can represent an unknown number or any number in a specified set. 
North Carolina  Standard Course of Study:
6.EE.6

Use variables to represent numbers and write expressions when solving a realworld or mathematical problem. 
New York State Next Generation Learning Standards:
6.EE.6

Use variables to represent numbers and write expressions when solving a realworld or mathematical problem. Understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. 
Alabama Course of Study Standards:
19

Write and solve an equation in the form of x+p=q or px=q for cases in which p, q, and x are all nonnegative rational numbers to solve realworld and mathematical problems. Interpret the solution of an equation in the context of the problem.

Arkansas Academic Standards:
6.EE.B.7

Solve realworld and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers 
Arizona  K12 Academic Standards:
6.EE.B.7

Solve mathematical problems and problems in realworld context by writing and solving equations of the form x + p = q, x  p = q, px = q, and x/p = q for cases in which p, q and x are all nonnegative rational numbers. 
Common Core State Standards:
Math.6.EE.7 or 6.EE.B.7

Solve realworld and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers. 
Georgia Standards of Excellence (GSE):
6.PAR.7.3

Solve problems by writing and solving equations of the form x + p = q, px = q and ??/?? = q for cases in which p, q and x are all nonnegative rational numbers. 
North Carolina  Standard Course of Study:
6.EE.7

Solve realworld and mathematical problems by writing and solving equations of the form: x + p = q in which p, q and x are all nonnegative rational numbers; and,
 p × x = q for cases in which p, q and x are all nonnegative rational numbers.

New York State Next Generation Learning Standards:
6.EE.7

Solve realworld and mathematical problems by writing and solving equations of the form x + p = q; x – p = q; px = q; and x/p = q for cases in which p, q, and x are all nonnegative rational numbers. Note: For the x/p = q case, p ≠ 0. 
Alabama Course of Study Standards:
20

Write and solve inequalities in the form of x>c, x, or x = c to represent a constraint or condition in a realworld or mathematical problem.  Interpret the solution of an inequality in the context of a problem.
 Represent the solutions of inequalities on a number line and explain that the solution set may contain infinitely
many solutions.

Arkansas Academic Standards:
6.EE.B.8

For real world or mathematical problems: Write an inequality of the form x > c, x = c, x < c, or x = c to represent a constraint or condition
 Recognize that inequalities of the form x > c or x < c have infinitely many solutions
 Represent solutions of such inequalities on number line diagrams

Arizona  K12 Academic Standards:
6.EE.B.8

Write an inequality of the form x > c, x < c, x = c, or x = c to represent a constraint or condition to solve mathematical problems and problems in realworld context. Recognize that inequalities have infinitely many solutions; represent solutions of such inequalities on number lines. 
Common Core State Standards:
Math.6.EE.8 or 6.EE.B.8

Write an inequality of the form x > c or x < c to represent a constraint or condition in a realworld or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. 
Georgia Standards of Excellence (GSE):
6.PAR.7.4

Recognize and generate inequalities of the form x > c, x > c, x < c, or x < c to explain situations that have infinitely many solutions; represent solutions of such inequalities on a number line. 
North Carolina  Standard Course of Study:
6.EE.8

Reason about inequalities by: Using substitution to determine whether a given number in a specified set makes an inequality true.
 Writing an inequality of the form x > c or x < c to represent a constraint or condition in a realworld or mathematical
problem.
 Recognizing that inequalities of the form x > c or x < c have infinitely many solutions.
 Representing solutions of inequalities on number line diagrams.

New York State Next Generation Learning Standards:
6.EE.8

Write an inequality of the form x > c, x = c, x = c, or x < c to represent a constraint or condition in a realworld or mathematical problem. Recognize that inequalities of these forms have infinitely many solutions; represent solutions of such inequalities on a number line. 
Tennessee Academic Standards:
6.EE.B.8

Interpret and write an inequality of the form x > c or x < c which represents a condition or constraint in a realworld or mathematical problem. Recognize that inequalities have infinitely many solutions; represent solutions of inequalities on number line diagrams. 
Pennsylvania Core Standards:
CC.2.2.6.B.2

Understand the process of solving a onevariable equation or inequality and apply it to realworld and mathematical problems. 
Pennsylvania Core Standards:
M06.BE.2.1.1

Use substitution to determine whether a given number in a specified set makes an equation or inequality true. 
Pennsylvania Core Standards:
M06.BE.2.1.2

Write algebraic expressions to represent realworld or mathematical problems. 
Pennsylvania Core Standards:
M06.BE.2.1.3

Solve realworld and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers. 
Pennsylvania Core Standards:
M06.BE.2.1.4

Write an inequality of the form x > c or x < c to represent a constraint or condition in a realworld or mathematical problem and/or represent solutions of such inequalities on number lines. 
Florida  Benchmarks for Excellent Student Thinking:
MA.6.AR.2.1

Given an equation or inequality and a specified set of integer values, determine which values make the equation or inequality true or false 
Florida  Benchmarks for Excellent Student Thinking:
MA.6.AR.2.2

Write and solve onestep equations in one variable within a mathematical or realworld context using addition and subtraction, where all terms and solutions are integers 
Florida  Benchmarks for Excellent Student Thinking:
MA.6.AR.2.3

Write and solve onestep equations in one variable within a mathematical or realworld context using multiplication and division, where all terms and solutions are integers. 
Florida  Benchmarks for Excellent Student Thinking:
MA.6.AR.2.4

Determine the unknown decimal or fraction in an equation involving any of the four operations, relating three numbers, with the unknown in any position 
Georgia Standards of Excellence (GSE):
6.PAR.7.1

Solve onestep equations and inequalities
involving variables when values for the
variables are given. Determine whether an
equation and inequality involving a variable is
true or false for a given value of the variable. 
Georgia Standards of Excellence (GSE):
6.PAR.7.2

Write onestep equations and inequalities to
represent and solve problems; explain that a
variable can represent an unknown number
or any number in a specified set. 
Georgia Standards of Excellence (GSE):
6.PAR.7.3

Solve problems by writing and solving equations of the form x ± p = q, px = q and x/p = q for cases in which p, q and x are all nonnegative rational numbers. 
Georgia Standards of Excellence (GSE):
6.PAR.7.4

Recognize and generate inequalities of the form x > c, x ≥ c, x < c, or x ≤ c to explain situations that have infinitely many solutions; represent solutions of such inequalities on a number line. 
