Solving two-step and multi-step equations Algebra 2.3 Solving two-step and multi-step equations

Learning Targets Language Goal Students will be able to explain how to solve multi-step equations. Math Goal Students will be able to use inverse order of operations to solve multi-step equations. Essential Question Why do we use the inverse order of operations to solve multi-step equations?

Warm-up

Homework Check 2.1 WS

Homework Check 2.1 Ws

Homework Check 2.2 WS

Homework check 2.2 WS

Homework Check Book

Homework Check Book

Guided Notes Steps to Solving a Linear Equation: **Goal: Isolate the Variable!! Simplify each side of the equation if needed (combine like terms on the same side of the equal sign) -Remember that you may need to use the distributive property before combining like terms. -Be careful when distributing a negative sign. Use inverse order of operations to isolate the variable. -Order of operations tells us to multiply and divide first then add and subtract -Therefore the inverse of the order of operations is FIRST Add or Subtract SECOND Multiply or Divide Always Check your work!!! ***Work carefully and do all your work on the paper! This helps to eliminate errors!

Example 1: Solving Two-step Equations 10 = 6 – 2x Explain Steps Check!

Example 1: Solving Two-step Equations -4 + 7x = 3 Explain Steps Check!

Example 1: Solving Two-step Equations 𝑛 7 +2=2 Explain Steps Check!

Example 2: Solving Two-step Equations that contain Fractions 𝑞 15 − 1 5 = 3 5 Explain Steps Check!

Example 2: Solving Two-step Equations that contain Fractions 2𝑥 5 − 1 2 =5 Explain Steps Check!

Example 2: Solving Two-step Equations that contain Fractions 3 4 𝑢+ 1 2 = 7 8 Explain Steps Check!

Example 3: Simplifying before solving Equations 6𝑥+3−8𝑥=13 Explain Steps Check!

Example 3: Simplifying before solving Equations 9=6−(𝑥+2) Explain Steps Check!

Example 3: Simplifying before solving Equations 2𝑎+3−8𝑎=8 Explain Steps Check!

Example 5: Solving Equations to find an indicated value If 3a + 12 = 30 find the value of a +4 Step 1: Find the value of a Step 2: Find the value of a + 4

Example 5: Solving Equations to find an indicated value If 2x+ 4 = -24 find the value of 3x Step 1: Find the value of x Step 2: Find the value of 3x

Pass out and do as a class! Explain your step WS Pass out and do as a class!

Poster Project 2.3 Solving Multi Step Equations Poster Requirements Your poster should include: * A creative title * 4-5 notes on how to solve multi step equations * 3 example problems that are not ones we did in class (these should be solved on your poster) * Have explanations along side of all 3 example problems explaining what you did or why you did that step when solving. * A visual representation to match an example problem. * Explanation of your visual representation * Make sure you are neat * Use at least 4 colors to help organize all your information * Double check your work so all information is accurate! ** This poster is worth a quiz grade!

Lesson Quiz