An introduction to algebra for 7th grade: what variables are, how to read and write expressions, substituting numbers for letters, and collecting like terms. Each idea comes with a short worked example and the mistakes students most often make.
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Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.
Completed: Algebra Basics: Expressions
7th Grade students (typically ages 12–13) working on algebraic expressions. It is pitched at level 2 · standard.
This is a study guide, so there is no separate answer sheet; the 'Check yourself' questions include answers.
About 20 minutes. Short, regular sessions work best: two or three a week beats one long one.
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Try 7th Grade Simplifying Expressions (Like Terms) Worksheet — Level 1.
Success TutoringWorksheets7th Grade · Mathematics · Algebraic ExpressionsIn algebra, a letter called a variable stands for a number we do not know yet, or a number that can change. An expression is a collection of numbers and variables joined by operations, such as 3x + 5. In that expression, 3x and 5 are terms, 3 is the coefficient of x, and 5 is a constant (a term with no variable). Expressions do not have an equals sign — that is what makes an equation.
| Expression | Meaning |
|---|---|
| 3a | 3 × a (the × sign is left out) |
| ab | a × b |
| a2 | a × a |
| a ÷ 4 | |
| 2a + 5 | 2 × a, then add 5 |
Substitution. To substitute means to replace the variable with a number and then calculate. Write the multiplication sign back in when you substitute so you do not accidentally join digits together.
Substituting values
Collecting like terms. Like terms have exactly the same variable part: 3x and 5x are like terms, and so are 4ab and −ab. You can add or subtract like terms by adding or subtracting their coefficients: 3x + 5x = 8x. Unlike terms, such as 3x and 2y or x and x2, cannot be combined.
Simplify 5m + 3n − 2m + n
Answers: 1. k − 7 2. 7 3. 7p 4. 5a + 2 5. 16 6. 2x + 5y
Preview — the PDF contains the full resource.
Collect like terms and simplify algebraic expressions. Builds confidence with the core skill before adding complexity. This 7th Grade…
Collect like terms and simplify algebraic expressions. Builds confidence with the core skill before adding complexity. This 7th Grade…
Collect like terms and simplify algebraic expressions. Expected-level practice for this grade. This 7th Grade worksheet has 14 questions…
Collect like terms and simplify algebraic expressions. A challenge set for students ready to stretch further. This 7th Grade worksheet has…
Substitute values into expressions and formulas and evaluate. Builds confidence with the core skill before adding complexity. This 7th…
Substitute values into expressions and formulas and evaluate. Expected-level practice for this grade. This 7th Grade worksheet has 12…
Substitute values into expressions and formulas and evaluate. A challenge set for students ready to stretch further. This 7th Grade…
Use the distributive property, then binomial products. Builds confidence with the core skill before adding complexity. This 7th Grade…
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