Simplifying Expressions & Solving Equations

Unit Standards

6.EE.A.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.

6.EE.A. 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.

6.EE.B.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.

7.EE.B.4.A 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. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

8.EE.C.7 Solve linear equations in one variable.

8.EE.C.7.A Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

HSA.REI.B.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Assessment Tracker

Students are monitored on their individual progress using a curriculum based measure. Students work at their own pace and receive small group or individual support in working towards mastery. These skills are ESSENTIAL components towards any other high school math courses.

Classroom Notes

Please email scordinoj@issaquah.wednet.edu for a copy of any classroom notes. As there is no way to password protect the work, all notes are available via email in addition to hard copies provided in class.

Connections

Resources

enVisions Textbook: Lessons 1-2, 1-3, and 1-4 (Pgs. 11-29)

I can simplify expressions by combining like terms.

IXL.com

A1.I.3 Simplify variable expressions involving like terms and the distributive property

Khan Academy

7th Grade --> Expressions, Equations & Inequalities --> Combining Like Terms

Algebra Basics --> Algebraic Expressions --> Combining Like Terms

Additional Website Links

I can simplify expressions by applying the distributive property.

IXL.com

A1.I.3 Simplify variable expressions involving like terms and the distributive property

Khan Academy

7th Grade --> Expressions, Equations & Inequalities --> The distributive property & equivalent expressions

Algebra Basics --> Algebraic Expressions --> Distributive Property

Additional Website Links

I can solve one step linear equations.

IXL.com

8.W.7 Solve one-step equations

A1.J.3 Solve one-step linear equations

Khan Academy

I can solve two step linear equations.

IXL.com

8.W.8 Solve two-step equations

A1.J.4 Solve two-step linear equations

Khan Academy

7th Grade --> Expressions, Equations & Inequalities --> Two-step equations intro

7th Grade --> Expressions, Equations & Inequalities --> Two step equations with decimals and fractions

7th Grade --> Expressions, Equations & Inequalities --> Two-step equation word problems

I can solve multi-step linear equations with variables on one side.

IXL.com

8.W.9 Solve multi-step equations

8.W.10 Solve equations involving like terms

A1.J.5 Solve advanced linear equations

Khan Academy

8th Grade --> Solving Equations with One Unknown--> Equations with Parentheses

I can linear equations with variables on both sides.

IXL.com

8.W.11 Solve equations with variables on both sides

A1.J.6 Solve equations with variables on both sides

Khan Academy

8th Grade --> Solving Equations with One Unknown--> Equations with Variables on Both Sides

I can determine the number of solutions in linear equations with variables on both sides.

IXL.com

8.W.15 Find the number of solutions

A1.J.8 Find the number of solutions

Khan Academy

8th Grade --> Solving Equations with One Unknown--> Number of Solutions to Equations

I can solve literal equations.

IXL.com

Khan Academy

Extension Opportunities for Working with Polynomials

IXL.com

A1.J.10 Solve linear equations: word problems

Khan Academy

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