Two-Step Linear Equations - Grade 7 Learning path

Two-Step Linear Equations - Grade 7

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Two-Step Linear Equations - Grade 7

Develop skills in solving two-step linear equations across a variety of algebraic structures. Practice working with fractions, decimals, negative numbers, word problems, and the distributive property.

Exercises in this learning path

15 exercises
  1. 1

    Form 1: Basic Two-Step Equations with Fractions

    Practice solving basic two-step equations that contain fractional terms. Learn to isolate the variable by performing standard algebraic operations.

    15 minutes

    Open this exercise
  2. 2

    Form 2: Two-Step Equations with Decimals

    Focus on solving two-step linear equations involving decimal numbers. Calculate missing variables using inverse operations with decimal values.

    15 minutes

    Open this exercise
  3. 3

    Form 3: Two-Step Equations with Negative Integers and Rational Terms

    Work with two-step equations that include negative integers and rational terms. Practice performing algebraic operations with positive and negative numbers.

    15 minutes

    Open this exercise
  4. 4

    Form 4: Equations in Fraction Form (x + a)/b = c

    Solve linear equations presented in the grouped fraction form (x + a)/b = c. Use inverse operations to clear denominators and solve for the unknown variable.

    15 minutes

    Open this exercise
  5. 5

    Form 5: Fractional Coefficients with Fractional Constants

    Practice solving two-step equations featuring both fractional coefficients and fractional constants. Apply arithmetic operations with fractions to find the unknown value.

    15 minutes

    Open this exercise
  6. 6

    Form 6: Equations with Variable Term on the Right Side

    Learn to solve two-step equations where the variable term is written on the right side of the equation. Rearrange and isolate the variable accurately.

    15 minutes

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  7. 7

    Form 7: Two-Step Word Problems to Equations

    Translate real-world word problems into two-step linear equations. Solve the resulting equations to find the correct answer for each situation.

    15 minutes

    Open this exercise
  8. 8

    Form 8: Equations with Distributive Property a(x + b) = c

    Practice solving linear equations written in the form a(x + b) = c using the distributive property. Apply distribution or division to isolate the variable.

    15 minutes

    Open this exercise
  9. 9

    Form 9: Mixed Rational Coefficients with Fraction Answers

    Solve two-step linear equations containing mixed rational coefficients that result in fraction answers. Work accurately with rational numbers throughout each problem.

    15 minutes

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  10. 10

    Form 10: Two-Step Equations with Mixed Operations and Zero

    Focus on solving two-step equations that involve mixed operations and terms equal to zero. Practice simplifying expressions and isolating variables.

    15 minutes

    Open this exercise
  11. 11

    Form 11: Two-Step Equations with Unit Fractions

    Solve two-step linear equations that feature unit fractions. Practice clearing unit fractions using inverse operations to isolate the variable.

    15 minutes

    Open this exercise
  12. 12

    Form 12: Equations with Non-Unit Fractions

    Work on two-step linear equations containing non-unit fractions. Multiply and divide rational terms carefully to determine the value of the variable.

    15 minutes

    Open this exercise
  13. 13

    Form 13: Equations with Negative Fractional Coefficients

    Practice solving two-step equations that feature negative fractional coefficients. Apply algebraic operations while handling negative signs and fractions correctly.

    15 minutes

    Open this exercise
  14. 14

    Form 14: Advanced Rational Equations with Decimals

    Solve advanced linear equations combining rational terms and decimal values. Apply multi-step algebraic methods to determine the exact value of the variable.

    15 minutes

    Open this exercise
  15. 15

    Form 15: Comprehensive Mixed Practice

    Test your overall understanding with a comprehensive mixed set of two-step linear equations. Review various equation structures, rational numbers, and operations.

    15 minutes

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