Factoring and Expanding Expressions - Grade 7 Learning path

Factoring and Expanding Expressions - Grade 7

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Factoring and Expanding Expressions - Grade 7

Practice expanding and factoring Grade 7 linear expressions using various types of coefficients and variables. Learn to simplify expressions, find equivalent forms, and solve real-world problems involving area, perimeter, and word applications.

Exercises in this learning path

15 exercises
  1. 1

    Form 1: Expanding Basic Linear Expressions

    Practice expanding basic linear expressions. Work on correctly multiplying terms to rewrite algebraic expressions without parentheses.

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  2. 2

    Form 2: Expanding Expressions with Negative Coefficients

    Focus on expanding expressions that include negative coefficients. Practice handling negative signs accurately during expansion.

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  3. 3

    Form 3: Expanding Expressions with Fractional and Decimal Coefficients

    Practice expanding linear expressions containing fractional and decimal coefficients. Work on accurately multiplying fractions and decimals across terms.

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  4. 4

    Form 4: Factoring Linear Expressions with Positive GCF

    Learn to factor linear expressions by identifying and extracting a positive greatest common factor.

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  5. 5

    Form 5: Factoring Linear Expressions with Negative GCF

    Practice factoring linear expressions using a negative greatest common factor. Focus on adjusting the signs of the remaining terms correctly.

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  6. 6

    Form 6: Expanding and Combining Like Terms

    Work on expanding expressions and combining like terms to simplify linear expressions completely.

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  7. 7

    Form 7: Factoring Linear Expressions with Fractional Coefficients

    Practice factoring linear expressions that feature fractional coefficients by identifying common fractional factors.

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  8. 8

    Form 8: Expanding Linear Expressions with Two Variables

    Focus on expanding linear expressions that contain two variables. Practice distributing terms across expressions with multiple variables.

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  9. 9

    Form 9: Factoring Linear Expressions with Two Variables

    Practice factoring linear expressions involving two different variables by finding and extracting common factors.

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  10. 10

    Form 10: Expanding Difference of Expressions

    Learn to expand expressions representing the difference between terms. Practice correctly subtracting terms and handling subtraction signs.

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  11. 11

    Form 11: Factoring Binomials with Greatest Common Factor

    Practice factoring binomials by finding and factoring out their greatest common factor.

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  12. 12

    Form 12: Real-World Applications - Expanding Area and Perimeter Expressions

    Apply expression expansion to real-world geometric contexts. Practice expanding expressions related to area and perimeter.

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  13. 13

    Form 13: Real-World Applications - Factoring Expressions in Word Problems

    Solve real-world word problems by factoring linear expressions to represent and simplify scenarios.

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  14. 14

    Form 14: Identifying Equivalent Linear Expressions

    Practice identifying equivalent linear expressions by expanding, factoring, and comparing different algebraic forms.

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  15. 15

    Form 15: Advanced Linear Expression Expansion and Factoring Review

    Review advanced techniques for expanding and factoring linear expressions across a variety of complex problems.

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