DO NOW Copy down your homework: 2-4 Lesson Check on page 105 Warm-Up: Add the following word to your vocabulary section of your notebook 4. Identity: an equation that is true for every value
Homework questions?
Quiz review − 𝑑+7 =−21 𝑥+5+3𝑥 =37
Quiz review 3 5+2𝑥 =33 2𝑥+4 x−2 =16
Quiz review 𝑦 2 − 2𝑦 16 = 3 8
Quiz Time!
2-4 Solving equations with variables on both sides
Table of contents 1 Page # topic date ? 2-1 Solving One-Step Equations 2/11/15 ? 2-2 Solving Two-Step Equations 2/12/15 ? 2-3 Solving Multi-Step Equations 2/17/15 ? 2-4 Solving Equations with 2/18/15 Variables on Both Sides 1
Steps for solving equations Reminder! 1. Simplify each side of the equation (distribute, combine like terms, etc) 2. Move variables to one side using addition or subtraction 3. Add or subtract to isolate the variable 4. Multiply or divide to isolate the variable 5. Check your answer
Solve: 5𝑥+2=2𝑥+14 Check your answer!!
Now let’s try solving in a different order 5𝑥+2=2𝑥+14 Check your answer!!
You try 7𝑘+2=4𝑘−10 Check your answer!!
Word problem – write an equation to solve It takes a graphic designer 1.5 hours to make one page of a website. Using new software, the designer could complete each page in 1.25 hours but it takes 8 hours to learn the software. How many webpages would the designer have to make in order to save time using the new software?
You try – write an equation to solve An office manager spent $650 on a new energy- saving copier that will reduce the monthly electric bill for the office from $112 to $88. In how many months will the copier pay for itself.
solve 2 5𝑥−1 =3(𝑥+11) Check your answer!!
You try 4 2𝑦+1 =2(𝑦−13) Check your answer!!
You try 7 4−𝑎 =3(𝑎−4) Check your answer!!
What does identity mean? Let’s write some examples of each Identity: all solutions make the equation true No solutions: there is no number that makes the equation true
solve 10𝑥+12=2(5𝑥+6) Check your answer!!
solve 9𝑚−4=−3𝑚+5+12𝑚 Check your answer!!
You try. 3 4𝑏−2 =−6+12𝑏 Check your answer!!
You try 2𝑥+7=−1(3−2𝑥) Check your answer!!