Tri County Technical College Solving word problems in Math Problems Paper Need two topic write ups done for Algebra 101 class, have the topics and the requ

Tri County Technical College Solving word problems in Math Problems Paper Need two topic write ups done for Algebra 101 class, have the topics and the requirements for the class just got bombarded at work today and will not be able to get to them before the deadline. Procrastination due to hospitalization issues this week, no excuse but still. Topics: Translating a sentence into a a multi step inequality or Union and intersection of intervals or Writing a compound inequality given a graph on the number line Wanting at least two, will pay for all three. Terri Franks
September 1, 2019
Topic Write Up for Week 2
Linear Equations and inequalities
I researched these sources, ALEKS explanation and https://www.khanacademy.org/math/algebrabasics/alg-basics-linear-equations-and-inequalities
To solve, take one thing at the time. Begin by subtracting 10 from each side. This leaves us with 3x and 3. Next step would be to divide both sides by -3 which would leave our answer as x=1. When solving,
always remember it is important to not forget to reverse the inequality sign when multiplying or dividing
with negative numbers.
A taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a
ride.
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Write an inequality that represents Katie’s situation.
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How many miles can Katie travel without exceeding her budget? Justify your answer.
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Solution
Step 1: Highlight the important information in this problem.
Note: No more than are key words that note that this problem must be written as an inequality.
Step 2: Identify your variable. What don’t you know? The question verifies that you don’t know
the number of miles Katie can travel.
Let m = the number of miles
Step 3: Write the inequality.
0.65m + 1.75