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Substitution

Substitution Builder (C) WORKSHEET

Suitable for Grades: 6th Grade, 7th Grade
CCSS: 6.EE.A.2, 7.EE.A.1
CCSS Description: Write, read, and evaluate expressions in which letters stand for numbers. a. Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation “Subtract y from 5” as 5 – y.b. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms. c. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2.

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Substitution Builder (C) WORKSHEET DESCRIPTION

These ‘Substitution Builders’ are designed to help students understand the importance of correctly applying the order of operations when substituting values into complex expressions. In Substitution Builder (C), learners will substitute the value 2.6 into multiple expressions beginning with one operation and building to expressions with three operations, providing them with a clear demonstration of how the order of operations influences the final result. Students will work with fractions as division, brackets and indices throughout. There are another two worksheets in this series where the value of x is either a positive or negative integer.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Substitution Builder (C) Worksheet Suitable for 6th and 7th Grade

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Frequently Asked Questions

This Substitution Builder (C) worksheet uses a progressive approach where students start with simple one-operation expressions and gradually work up to more complex three-operation problems. By using the same value of 2.6 throughout, students can clearly see how adding more operations changes their results and reinforces why following the correct order of operations is crucial for accurate answers.