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 one-variable 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 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 test.Answers 1

Write Expressions

Answers 6.EE.6.a


Write Expressions Decimals

Answers 6.EE.6.b

Standard 6.EE.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.

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 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 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