 Tom buys a pair of shoes for $65 and a hat for $20. If tax is 9%, how much change would Tom get if he paid with a $100 bill?  Price: 65 + 20 = $85 

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Presentation transcript:

 Tom buys a pair of shoes for $65 and a hat for $20. If tax is 9%, how much change would Tom get if he paid with a $100 bill?  Price: = $85  Tax: $ = $7.65  Total: $85 + $7.65 = $92.65  Change: $100 – $92.65 = $7.35 BOA 401: Solve routine two-step or three-step arithmetic problems involving concepts such as rate and proportion, tax added, percentage off, and computing with a given average.

 Monday –Two-Step Word Problems and Simplify and Solve Equations  Tuesday – Review Simplify and Solve Equations  Wednesday – Quiz Review  Thursday – Quiz: One and Two-Step Equations and Word Problems  Friday – Review Quiz and Solving Other Equation Situations  Following Week – Solving for one- variable in a two-variable equation.

XEI 404: Perform straightforward word-to-symbol translations XEI 501: Solve real-world problems using first-degree equations XEI 502: Write expressions, equations, or inequalities with a single variable for common pre-algebra settings

 Two-step word problems involve two operations to be performed in any combination.

 Ashley is two more than three times as old as Chris. If Ashley is 20, how old is Chris? Let ‘c’ equal Chris Equation: Solve: – 2 – 2 3c+ 2= 20 3c = c = 6 years old

 Darius has two less than one-half the amount of money Camillus has. If Darius has $13, how much does Camillus have? Let ‘c’ equal Camillus Equation: Solve: 1212 c = 13 = 15c c = $30 –

 Let’s see if you really understand how to solve equations.  You must first simplify these before solving!

Sometimes you have to simplify before solving equations: 3x x = 40 5x + 5 = 40 – 5 – 5 5x = 35 x = 7 Combine like terms!

-9x + 1 – x + 6 = x + 7 = 47 – 7 – 7 -10x = 40 x = -4 Combine like terms!

3(2x + 1) = 21 6x + 3 = 21 – 3 – 3 6x = 18 x = 3 Distribute!

-2(3x – 5) + 2 = 24 -6x = 24 -6x + 12 = 24 – 12 –12 -6x = 12 x = -2 Distribute!

4x – (5 – 2 + 8) = 13 4x – 11 = x = 24 x = 6 Do NOT Distribute! Solve Parentheses