Grade 6 Expressions and Equations Free Bundle

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This fantastic bundle includes FREE worksheets and quiz items about Expressions and Equations. These ready-to-use Common Core-aligned, Grade 6 Math worksheets, are perfectly paired with premium End-of-Year test booklets.

Common Core Standards (6.EE)

Apply and extend previous understandings of arithmetic to algebraic
expressions.

1. Write and evaluate numerical expressions involving whole-number
   exponents.
2. 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.

3. Apply the properties of operations to generate equivalent expressions.
   For example, apply the distributive property to the expression 3 (2 + x) to
   produce the equivalent expression 6 + 3x; apply the distributive property
   to the expression 24x + 18y to produce the equivalent expression
   6 (4x + 3y); apply properties of operations to y + y + y to produce the
   equivalent expression 3y.
4. Identify when two expressions are equivalent (i.e., when the two
   expressions name the same number regardless of which value is
   substituted into them). For example, the expressions y + y + y and 3y
   are equivalent because they name the same number regardless of which
   number y stands for.

Reason about and solve one-variable equations and inequalities.

5. Understand solving an equation or inequality as a process of
   answering a question: which values from a specified set, if any, make
   the equation or inequality true? Use substitution to determine whether
   a given number in a specified set makes an equation or inequality true.
6. Use variables to represent numbers and write expressions when
   solving a real-world or mathematical problem; understand that a
   variable can represent an unknown number, or, depending on the
   purpose at hand, any number in a specified set.
7. Solve real-world and mathematical problems by writing and solving
   equations of the form x + p = q and px = q for cases in which p, q and
   x are all nonnegative rational numbers.
8. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions;
   represent solutions of such inequalities on number line diagrams.

Represent and analyze quantitative relationships between
dependent and independent variables.

9. Use variables to represent two quantities in a real-world problem that
   change in relationship to one another; write an equation to express
   one quantity, thought of as the dependent variable, in terms of the
   other quantity, thought of as the independent variable. Analyze the
   relationship between the dependent and independent variables using
   graphs and tables, and relate these to the equation. For example, in a
   problem involving motion at constant speed, list and graph ordered pairs
   of distances and times, and write the equation d = 65t to represent the
   relationship between distance and time.

Resource Examples

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