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Linear Equations

7th Grade

Alabama Course of Study Standards: 9.a

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

Arkansas Academic Standards: 7.EE.B.4.A

  • Solve word problems leading to equations of these forms px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently
  • Write an algebraic solution identifying the sequence of the operations used to mirror the arithmetic solution (e.g., The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? Subtract 2*6 from 54 and divide by 2; (2*6) + 2w = 54)

Arizona - K-12 Academic Standards: 7.EE.B.4a

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

Common Core State Standards: Math.7.EE.4a or 7.EE.B.4.A

Kentucky Academic Standards (KAS): 7.EE.4.a

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

Georgia Standards of Excellence (GSE): 7.PAR.3.1

Construct algebraic equations to solve practical problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Interpret the solution based on the situation.

Mississippi College- and Career-Readiness Standards: 7.EE.4a

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

North Carolina - Standard Course of Study: 7.EE.4.a

Construct equations to solve problems by reasoning about the quantities.
  • Fluently solve multistep equations with the variable on one side, including those generated by word problems.
  • Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
  • Interpret the solution in context.

New York State Next Generation Learning Standards: 7.EE.4.a

Solve word problems leading to equations of the form px + q = r and p (x + q) = r, where p, q, and r are rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
e.g., The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
Notes:
  • The words leading to in the standard may require students to simplify or combine like terms on the same side of the equation before it is in the form stated in the standard.
  • This standard is a fluency expectation for grade 7.

Tennessee Academic Standards: 7.EE.B.4.a

Solve contextual problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

Wisconsin Academic Standards: 7.EE.B.4.a

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

Pennsylvania Core Standards: CC.2.2.7.B.3

Model and solve real-world and mathematical problems by using and connecting numerical, algebraic, and/or graphical representations.

Pennsylvania Core Standards: M07.B-E.2.2.1

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers.

Pennsylvania Core Standards: M07.B-E.2.3.1

Determine the reasonableness of answer(s) or interpret the solution(s) in the context of the problem.

Florida - Benchmarks for Excellent Student Thinking: MA.7.AR.2.2

Write and solve two-step equations in one variable within a mathematical or real-world context, where all terms are rational numbers

Georgia Standards of Excellence (GSE): 7.PAR.3.1

Construct algebraic equations to solve practical problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Interpret the solution based on the situation.

7th Grade Math - Linear Equations Lesson
 


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