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Solving Multi-Step Equations

Today you will need:

Notes
Calculator & pencil
Positive Attitude :-)

Grab a warm-up from the wooden desk

Edit: more problems with distributive property to scaffold to systems by substitution.

Ie. 2x+2(2x-1)=10

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Goals:

Solve multi-step linear equations using inverse operations and properties of equality.

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Warm-up #1

Using the digits 1 to 9 at most one time each, fill in the boxes to make each equation true.

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Warm-up #2

Using the digits 1 to 9 at most one time each, place a digit in each box to make a true equation where x has the greatest possible value.

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What do you need to keep in mind when solving?

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Rules for solving equations

BALANCE�&

INVERSES

PEMDAS → SADMEP

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How do these rules extend to solving multi-step equations?

2x-7=31

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How do these rules extend to solving multi-step equations?

3x+5=20-2x 4(n-6)-1=31 2m+4.8=9.2

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Mobile Puzzles

Log on to

https://solveme.edc.org/Mobiles.html

And begin solving puzzles!

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This Week’s Assignments:

Delta Math GA1: Review�
BIM Scavenger Hunt & 1st assignment

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Resources

https://solveme.edc.org/Mobiles.html
Notes CAS solving investigation for TI-Nspire adapted from Adam Harder’s activities and from Carnegie Learning Module 2 Topic 2 Lesson 1 Getting Started.
SERP Algebra by Example 3.1 Solving One and Two Step Equations

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Mod 2 Standards (needs updated)

http://education.ohio.gov/getattachment/Topics/Learning-in-Ohio/Mathematics/Ohio-s-Learning-Standards-in-Mathematics/ALGEBRA-1-Standards.pdf.aspx?lang=en-US

�S.ID.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

A.APR.1 Understand that polynomials form a system analogous to the integers, namely, that they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.�A. Focus on polynomial expressions that simplify to forms that are linear or quadratic.

A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.�A. Focus on applying linear and simple exponential expressions

A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations and inequalities arising from linear, quadratic, simple rational, and exponential functions.�A. Focus on applying linear and simple exponential expressions.

A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

A.REI.3 Solve linear equations and inequalities in one variable

A.CED.4 Rearrange Formulas to highlight a quantity of interest, using the same reasoning as in solving equations.�A. Focus on formulas in which the variable of interest is linear or square. For example, rearrange Ohm’s law V-IR to highlight resistance R, or rearrange the formula for the area of a circle A=pir^2 to highlight radius r.

S.ID.8 Compute (using technology) and interpret the correlation coefficient of a linear fit.