Sixth Grade Expressions and Equations


Write and evaluate expressions with exponents and unknowns, solve equations and writing expressions for real world problems. Just click on the blue links to display or print pdfs.  
Standards 
Practice
Pages


Apply and extend previous understanding of arithmetic to algebraic expressions  Cluster 1 

Standard 6.EE.1: Write and
evaluate numerical expressions involving whole number exponenents. 
Write Exponents Answers 6.EE.1.a 
Decimal Equations Answers 6.EE.1.b 
Standard 6.EE.2: Write, read and
evaluate expressions in which letters stand for numbers. 
Defining Variables Answers 6.EE.2.a 
Expressions Questions Answers 6.EE.2.b 
Standard 6.EE.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 + 14y to produce the equivalent expression 6(4x + 3y); apply properties of operations to y + y + y to
produce the equivalent expression 3y. 
Identity Property Answers 6.EE.3.a 
Demonstrate Properties Answers 6.EE.3.b 
Standard 6.EE.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. 
Like Terms Answers 6.EE.4.a 
Substitute and Solve Answers 6.EE.4.b 
Reason about and solve onevariable equations and inequalities  Cluster 2 

Standard
6.EE.5: Understand solving an equation or an inequality as a
process of answering a questions: 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. 
Equations with Explanations Answers 6.EE.5.a 
Explain Inequalties Answers 6.EE.5.b 
Standard
6.EE.6: Use variables to represent numbers and write expression
when solving a realworld or mathematical problem; understand
that a variable can represent an unknown number, or, depending on the
purpose at hand, any number in a specified test.Answers 1 
Write Expressions Answers 6.EE.6.a 
Write Expressions Decimals Answers 6.EE.6.b 
Standard
6.EE.7: Solve realworld 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. 
Addition Equations Answers 6.EE.7.a 
Multiplication Equations Answers 6.EE.7.b 
Standard 6.EE.8: Write an
inequality of th eform x > c or x < c to represent a
constraint or condition in a real world 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. 
Write Inequalities Answers 6.EE.8.a 
Plot Number Lines Answers 6.EE.8.b 
Represent and analyze quantity relationships between dependent and independent variables  Cluster 3 

Standard 6.EE.9: Use
variables to represent two quantities in a realworld 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 equations. For
example, in a problem involving motion at constant speed list and graph
ordered pairs of distance and times, and write the equation d = 65t to
represent the relationship between distance and time. 
Write Equations from Variables Answers 6.EE.9.a 
Equations from Word Problems Answers 6.EE.9.b 