Solving Equations and using the calculator Secondary 3 Essentials

Order of operations What is the order of operations?

Order of operations a. 7 4+1 −7∙2 b.) 5∙ 2 2 −1 c.) 16÷4 3−1 3 −22÷11

Solving equations When solving equations, we are doing Order of Operations backwards. 1. 2𝑥−19=1 2.) 2 𝑥+1 2 −2=18 3.) 4 𝑥 2 +5=21

Solving equations 4.) 𝑥+4=2𝑥−2 5.) 7 𝑥+1 =4−8𝑥 6.) 𝑥 𝑥−2 = 𝑥 2 +𝑥

Solving equations 7.) 11𝑥−2=5−2𝑥−8 8.) 20 3 5 𝑥+2 =20 1 4

calculator Remember that your graphing calculator is able to do Order of Operations. 1.) 6 2 (use the 𝑥 2 key) 2.) 6 3 (enter 6 ^ 3) 3.) 6 5−1 (enter 6 ^ (5-1))

4.) − 3 2 5.) −3 2 6.) − 3 2 If you don’t use parenthesis (like in #4), does your calculator do negatives or exponents first? Does this agree or disagree with the order of operations?

Calculator In the following two problems, notice that the numbers are all the same; the only difference is in what you are dividing. 7.) 2 2 −6∙ 4 2 +6/2 8.) 2 2 −6∙ 4 2 +6 2 When dividing fractions that have multiple parts in either the numerator or denominator, you should put ______________around the entire numerator and around the entire denominator.

calculator Don’t forget to include parentheses exactly where they appear in the problems. 9.) 6 2 10.) −6 2 11.) (36) +25 12.) (36+25) 13.) (36+25 If you don’t close the parenthesis, where does your calculator assume they should be closed?

Practice Problems 14.) 4−8 2 2 15.) −6+3 4+9 − 4 2 16.) 9+2 3−6 2 14.) 4−8 2 2 15.) −6+3 4+9 − 4 2 16.) 9+2 3−6 2 17.) 34− 3 2 4 2 −6