7th grade expressions & equations worksheets
15 expressions & equations skills at 7th grade, one sheet each, free with its answer key: adding linear expressions, checking contextual solutions, collecting rational like terms, and more.
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- Adding linear expressions Remove the parentheses without changing signs. Combine like terms.
- Checking contextual solutions Substitute into the original model. A solution must make it true and fit the quantity and its units.
- Collecting rational like terms Add the coefficients of like terms. Use a common denominator to add fractions.
- Collecting terms and constants Combine the variable terms and constants separately. Use common denominators for fractions.
- Expanding and collecting like terms Multiply each term inside the parentheses by the outside factor. Then combine like terms.
- Expanding with rational factors Multiply each term inside the parentheses by the outside factor.
- Factoring out a specified rational factor Divide each term by the given factor. Keep that factor outside the parentheses, then expand to check.
- Factoring out the greatest common factor Find the greatest positive integer that divides both coefficients. Factor it out, then expand to check.
- Graphing inequality solution sets Use an open circle for < or > and a closed circle for ≤ or ≥. Shade toward the values that satisfy the inequality.
- Solving grouped equations Divide both sides by the factor outside the parentheses. Then undo the addition or subtraction.
- Solving inequalities with negative coefficients Adding or subtracting preserves the direction. Dividing by a negative number reverses it.
- Solving inequalities with positive coefficients Adding or subtracting preserves the direction. Dividing by a positive number also preserves it.
- Solving two-step equations Undo the addition or subtraction first. Then divide both sides by the coefficient.
- Subtracting grouped linear expressions Subtract every term in the second group, then combine like terms.
- Writing equations from quantities Define the unknown and its units. Repeated quantity plus fixed amount equals the total.
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