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Bell Ringer. 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.
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Bell Ringer 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. • 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 • Tax: $85 • 0.09 = $7.65 • Total: $85 + $7.65 = $92.65 • Change: $100 – $92.65 = $7.35
This week and Beyond… • Monday – One and Two-Step Word Problems • Tuesday – Review Solving One and Two-Step Word Problems and 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 Word Problems
One-Step Word Problems • One-step word problems involve only one operation to be performed: addition, subtraction, multiplication, or division. • We will see examples of each operation.
Addition Problems • Sean is seven years older than Kyla. If Sean is 14 years old, how old is Kyla? Let ‘k’ equal Kyla Equation: k + 7 = 14 Solve: – 7 – 7 k = 7 years old
Subtraction Problems • Your savings account has $60 less than your checking account. If you have $250 in your savings account, how much is in your checking account? Let ‘c’ equal $ in your checking account. Equation: c – 60 = 250 Solve: + 60 + 60 c = $310 in checking
Multiplication Problems • Jamil ate ten times as much as Eyram. If Jamil ate 40 lbs of food, how much did Eyram eat? Let ‘e’ equal food Eyram ate Equation: 10e = 40 Solve: 10 10 e = 4 lbs of food
Division Problems • Sean scored one-fourth the amount of points Jackie scored. If Sean scored 5 points, how many did Jackie score? Let ‘j” equal points Jackie scored Equation: j = 5 Solve: j = 20 points 4 1 1 4 4 1 . .
Two-Step Word Problems • Two-step word problems involve two operations to be performed in any combination.
Multiplication & Addition Problems • 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 = 18 3 3 c = 6 years old
Division & Subtraction Problems • 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: 1 2 c – 2 = 13 + 2 + 2 2 1 1 2 2 1 . . c = 15 c = $30