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Equations and Inequalities Simple One step Solutions How will I be asked to use this on the CRCT? • • • • • • What is a solution to the following equation 4x + 1 =9 A) 2 B) 3 C) 4 D) None of the above Substitute each answer in for x. The answer that creates a true statement is the correct answer Real Life Problem • You are buying ingredients for tacos. At the store you find that tortillas cost $2.99, beans cost $0.99, cheese costs $3.99, two tomatoes cost $1.00, and sour cream costs $1.49. There is no tax. You paid $13.75. How much did you spend on beef? Inequalities • An inequality is a math sentence that shows a comparison between the two sides of the statement. • An example of this is x>5 • What are four solutions to this statement? • What are two non solutions? Check to see if these are solutions to the following problem • • • • • • 3n – 4 ≤ 8 n=2 n=3 n=4 n=5 What is the inequality that states all the possible solutions for this statement? Real life inequality • Your vet says that you must restrict your cat’s caloric intake to no more than 500 calories per day. If you feed your cat twice a day, can you feed your cat a can of food that has 300 calories every time she eats? • Prove it! Inverse operations • To solve a one step equation or inequality, you use the inverse operation • Examples: • X / 10 < 20 • x + 4 = 12 • 10 10 • -4 = -4 • x < 200 • x =8 Mentally check your work through estimation or substitution Your turn to practice • Do page 27 # 1-25 • Create a word problem that could be used on the chapter 1 test that asks students to find a solution for an inequality • How did you do? • 15 correct is 60% You passed the CRCT • 18 correct is 70% You passed Algebra Final Thoughts • Where are you at in completing your vocabulary words? • Are you keeping up with your homework? • First major quiz is this Friday • Let me know how you are doing • 1: I am so confused I am going to fail this quiz • 5: I need to study but I’m okay • 10: Yippee!!! I will have an A for sure!!!!