Presentation on theme: "2.3 Solving Multi-Step Equations:"— Presentation transcript:
12.3 Solving Multi-Step Equations: Term: A number, a variable or a product or quotient of numbers and variables that is added or subtracted in an algebraic expression.Combining like Terms: Simplify the terms with the same variable using arithmetic.
3Ex: What is the solution of 5 = 5m – 23 + 2m We solve multi-step equations by forming a series of simpler equations by first using combination of like terms:Ex: What is the solution of 5 = 5m – m5 = 5m – mSame variable5 = 5m + 2m – 235 = 7m – 23Add like termsInverse of subtraction28 = 7m__ ___Inverse of multiplicationDon’t forget to check!!m = 4
4REAL-WORLD:A family buys airline tickets online. Each ticket costs $167. The family buys travel insurance with each ticket for $19 per ticket. The web site charges a fee of $16 for the entire purchase. The family is charged a total of $1132. How many tickets did the family buy?
5 167x + 19x + 16 = 1132 SOLUTION: Using the given info we have: Each ticket (x) costs $ 167xInsurance for each ticket is $ 19xOne time charge of $ +16The family paid = $1132 x + 19x + 16 = 1132
18Cross Cancel: Divide a numerator with a denominator (only on the same fraction) 2445𝟏𝟐𝟎 𝟐𝟑 ( 𝟏 𝟓 ) + 𝟏𝟖𝟎 𝟐𝟑 ( 𝟏 𝟒 )= 3𝟐𝟒 𝟐𝟑 + 𝟒𝟓 𝟐𝟑 = 3Add the numerators: since our denominators are the same.𝟐𝟒+𝟒𝟓 𝟐𝟑 = 3Since 69/23 = 3 and 3 =3 we have gotten the right answer.𝟔𝟗 𝟐𝟑 = 3