
Two-step inequality
JamWise Education Team·Updated March 2026
Definition
An inequality that takes two inverse operations to solve. For example, 3x - 5 > 7 requires adding 5, then dividing by 3.
Learning context
In 7th grade math, students encounter "two-step inequality" as part of building numerical and spatial reasoning skills. At the middle school level, learners develop the ability to connect abstract mathematical concepts to concrete, everyday situations. Understanding this term helps students communicate their mathematical thinking with precision and builds a foundation for more advanced problem-solving in later grades.
Topic connection: expressions
This term belongs to the "expressions" topic within math. The expressions strand introduces students to a cluster of related concepts that build on each other across grade levels. Exploring vocabulary within this topic helps students see connections between ideas and develop deeper, more flexible understanding of the subject matter as a whole.
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Research consistently shows that pairing vocabulary instruction with music improves both recall and long-term retention. When students hear a term like "two-step inequality" embedded in a memorable melody, their brains form stronger associative connections between the word, its meaning, and the emotional context of the song.
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Related vocabulary
Constant
A value that does not change. In the expression 4x + 7, the number 7 is a constant because it stays the same no matter what x is.
Expand
To rewrite an expression by using the distributive property to remove parentheses. Expanding 3(x + 4) gives 3x + 12.
Factor an expression
To rewrite an expression as a product of its factors. Factoring 6x + 12 gives 6(x + 2).
Like terms
Terms that have the same variable raised to the same power. You can combine like terms: 3x + 5x = 8x.
Linear expression
An expression with a variable raised only to the first power. For example, 3x + 7 is linear, but 3x² + 7 is not.
Opposite operations
Operations that undo each other when solving equations. Addition undoes subtraction; multiplication undoes division.
Two-step equation
An equation that takes two operations to solve. For example, 2x + 3 = 11 requires subtracting 3 and then dividing by 2.
Coefficient
The number that multiplies a variable in an expression. In 7x, the coefficient is 7.
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