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Math Two
Unit Three: Multistep Equations and Inequalities
Objectives:
California State Standards:
 AF.1.1 Use variables and appropriate operations to write an expression, an equation, an
inequality, or a system of equations or inequalities that represents a verbal description (e.g.,
three less than a number, half as large as area A).
 AF.1.3 Simplify numerical expressions by applying properties of rational numbers (e.g.,
identity, inverse, distributive, associative, commutative) and justify the process used.
 AF.4.1 Solve two-step linear equations and inequalities in one variable over the rational
numbers, interpret the solution or solutions in the context from which they arose, and verify
the reasonableness of the results.
Common Core Standards:
 7.EE (Cluster Statement) Use properties of operations to generate equivalent expressions.
a. Miles to Kilometers
b. Equivalent Expressions?
 7.EE.1: Apply properties of operations as strategies to add, subtract, factor, and expand
linear expressions with rational coefficients.
a. Writing Expressions
 7.EE.4: Use variables to represent quantities in a real-world or mathematical problem, and
construct simple equations and inequalities to solve problems by reasoning about the
quantities.
a. Fishing Adventures 2
b. Gotham City Taxis
c. Bookstore Account
 7.EE.4a: Solve word problems leading to equations of the form px + q = r and p(x + q) = r,
where p, q, and r are specific rational numbers. Solve equations of these forms fluently.
Compare an algebraic solution to an arithmetic solution, identifying the sequence of the
operations used in each approach.
 7.EE.4b: Solve word problems leading to inequalities of the form px + q > r or px + q < r
where p, q, and r are specific rational numbers. Graph the solution set of the inequality and
interpret it in the context of the problem.
a. Sports Equipment Set
Tasks:
Lesson
3-1
3-2
3-5
3-6
3-7
3-8
Topic
Properties of Rational Numbers
Simplifying Algebraic Expressions
Inequalities
Solving Inequalities by Adding or
Subtracting
Solving Inequalities by Multiplying
or Dividing
Solving Two-Step Inequalities
Review
Chapter Test – Unit Three
Math Writing
MARS Tasks
IXL.Com Assignments:
Homework
p 118, 15-34, 40-42
p 122, 19-36
p 138, 11-25
p 142, 9-16
p 146, 10-18
p 150, 14-26
Lesson 3-1 & 3-2
 Variable expressions: Add and subtract like terms (Seventh grade - U.6)
 Properties: Properties of addition and multiplication (Seventh grade - Y.1)
 Properties: Distributive property (Seventh grade - Y.2)
 Properties: Simplify variable expressions using properties (Seventh grade - Y.3)
Lesson 3-5, 3-6, 3-7, 3-8
 Inequalities: Graph inequalities on number lines (Seventh grade - W.3)
 Inequalities: Graph solutions to one-step linear inequalities (Seventh grade - W.5)
 Inequalities: Graph solutions to two-step linear inequalities (Seventh grade - W.7)
 Inequalities: Inequalities on number lines (Seventh grade - W.1)
 Inequalities: Solutions to variable inequalities (Seventh grade - W.2)
 Inequalities: Solve one-step linear inequalities (Seventh grade - W.4)
 Inequalities: Solve two-step linear inequalities (Seventh grade - W.6)
 Linear functions: Linear function word problems (Seventh grade - X.10)
 Properties: Solve equations using properties (Seventh grade - Y.4)
 Ratios and proportions: Solve proportions: word problems (Seventh grade - J.9)
 Single-variable equations: Model and solve equations using algebra tiles (Seventh grade V.2)
 Single-variable equations: Solve equations involving like terms (Seventh grade - V.5)
 Single-variable equations: Solve one-step linear equations (Seventh grade - V.3)
 Single-variable equations: Solve two-step linear equations (Seventh grade - V.4)