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Email: info@castlelearning.com

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Blog

New 7th Grade Common Core Math Questions for the Domain: Expressions and Equations – Standards 3 and 4

Posted on February 17, 2016

The Math Content Team has released new questions that are aligned to the Common Core standard 7.EE.3 and 7.EE.4. The question types in this release are multiple choice and fill-in.

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

  • 7.EE.3 – Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
  • 7.EE.4 – Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
    • 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.
    • 7.EE.4.B – Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.

Sample tasks that students are asked to complete:

  • Solve a multi-step real-world equation converting from decimals to fractions.
  • Calculate the savings of a shopping situation.
  • Construct equations to solve problems.

Sample Questions

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