Two-Step Linear Inequalities - Grade 7 Learning path

Two-Step Linear Inequalities - Grade 7

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MathGrade 7American curriculuminequalitiesalgebra
Two-Step Linear Inequalities - Grade 7

Practice solving and graphing two-step linear inequalities with operations, negative coefficients, fractions, and decimals. Explore real-world word problems, valid solution sets, and graph representations.

Exercises in this learning path

15 exercises
  1. 1

    Form 1: Two-Step Inequalities with Addition and Multiplication

    Solve two-step inequalities that involve addition and multiplication. Practice isolating the variable to find the correct solution set.

    15 minutes

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  2. 2

    Form 2: Two-Step Inequalities with Subtraction and Multiplication

    Work through two-step inequalities featuring subtraction and multiplication operations. Apply algebraic steps to isolate the variable and solve each inequality.

    15 minutes

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  3. 3

    Form 3: Two-Step Inequalities with Division

    Solve two-step linear inequalities that contain division. Learn to undo operations systematically to determine the solution set.

    15 minutes

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  4. 4

    Form 4: Inequalities with Negative Coefficients

    Practice solving two-step inequalities that include negative coefficients. Apply necessary rules when working with negative multipliers or divisors.

    15 minutes

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  5. 5

    Form 5: Graphing Open Circles (< and >)

    Learn how to represent strict inequalities using open circles on a number line. Practice graphing solutions for less-than and greater-than relationships.

    15 minutes

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  6. 6

    Form 6: Graphing Closed Circles (<= and >=)

    Focus on graphing inclusive inequalities using closed circles on a number line. Practice accurately representing less-than-or-equal-to and greater-than-or-equal-to solutions.

    15 minutes

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  7. 7

    Form 7: Word Problems - Saving and Spending

    Apply two-step inequalities to real-world scenarios involving saving and spending money. Set up and solve inequalities based on financial contexts.

    15 minutes

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  8. 8

    Form 8: Word Problems - Scores and Quantities

    Solve word problems related to test scores and item quantities using two-step inequalities. Translate given scenarios into algebraic inequalities to find valid solutions.

    15 minutes

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  9. 9

    Form 9: Identifying Valid Solutions

    Test values to determine whether they satisfy a given two-step inequality. Practice identifying valid solutions within given sets.

    15 minutes

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  10. 10

    Form 10: Two-Step Inequalities with Fractions and Decimals

    Solve two-step linear inequalities that involve fractional and decimal terms. Apply algebraic steps to work accurately with non-integer values.

    15 minutes

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  11. 11

    Form 11: Matching Inequalities to Graph Descriptions

    Match algebraic inequalities to their corresponding written or visual graph descriptions. Strengthen your understanding of how number line graphs represent inequality solutions.

    15 minutes

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  12. 12

    Form 12: Two-Step Inequality Mixed Review

    Review a variety of two-step inequality problems combining different operations and representations. Test your overall skills in solving, interpreting, and graphing inequalities.

    15 minutes

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  13. 13

    Form 13: Reversing Inequality Symbols

    Focus on the rules for flipping inequality signs when multiplying or dividing by negative numbers. Practice correctly reversing inequality symbols during algebraic steps.

    15 minutes

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  14. 14

    Form 14: Real-World Contexts - Perimeter and Dimensions

    Solve real-world word problems involving geometric concepts like perimeter and dimensions using two-step inequalities. Set up and solve inequalities to find allowable measurements.

    15 minutes

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  15. 15

    Form 15: Advanced Interpretation and Multi-Step Concepts

    Interpret complex inequality scenarios and explore multi-step concepts. Develop deeper reasoning skills by analyzing and solving advanced inequality problems.

    15 minutes

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