MathIsimple

Algebraic Expressions & Transformations

Master the building blocks of algebra! Learn to analyze expression structure, combine like terms, apply the distributive property, and recognize equivalent forms.

9th Grade
Algebra
~60 min
🎮 Interactive Activity: Expression Simplifier

Simplify the expression by combining like terms!

Original Expression:

3x + 2x + 5
🎮 Interactive Activity: Distributive Property Builder

Use the distributive property to expand expressions!

Original Expression:

3(x + 4)
↓

Expanded Form:

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1. Expression Structure & Components

Understanding Expression Components

Every algebraic expression consists of terms, which are separated by addition or subtraction. Each term has:

  • Variables: Letters representing unknown values (x, y, a, b)
  • Coefficients: Numbers multiplying variables (in 3x, 3 is the coefficient)
  • Constants: Numbers without variables (in 3x + 5, 5 is the constant)
Example: Analyze 3x² - 5x + 2
Term 13x²(quadratic term, coefficient 3)
Term 2-5x(linear term, coefficient -5)
Term 32(constant term)
2. Combining Like Terms
3. Distributive Property
4. Equivalent Expressions
Frequently Asked Questions

Practice Time!

Practice Quiz
10
Questions
0
Correct
0%
Score
1
Simplify: 3x + 5x - 2x
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2
Expand: 4(x + 3)
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3
Which expression is equivalent to 2a + 3b - a + 5b?
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4
Simplify: 5(2x - 3) + 4x
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5
What is the coefficient of x in the expression 3x² + 7x - 2?
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6
Simplify: (x + 2) + (3x - 5)
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7
Which is equivalent to 6m - 2(m + 3)?
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8
Simplify: 2y + 3 - y + 4
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9
Expand: -3(2x - 4)
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10
Which expression has the same value as 5a + 2b - 3a + b for all values of a and b?
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