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Bell Ringer. Call me TomJack !. Briana is two more than twice as old as Tom. Tom is half the age of Jackie. If Briana is 22 years old, how old is Tom and Jackie? 2t + 2 = 22 – 2 – 2 2t = 20 t = 10 Tom is 10 yrs old. 2 1. 1 2 . . . 2 1. j = 10. j = 20
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Bell Ringer Call me TomJack! Briana is two more than twice as old as Tom. Tom is half the age of Jackie. If Briana is 22 years old, how old is Tom and Jackie? 2t + 2 = 22 – 2 – 2 2t = 20 t = 10 Tom is 10 yrs old 2 1 1 2 . . 2 1 j = 10 j = 20 Jackie is 20 yrs old.
Explore Test – Tomorrow! • Report to your testing location at 8:00 am. • Testing will begin at 8:15 am and should last until 10:30 am. • After testing, you will continue with your regular schedule beginning with 4th period.
Explore Test – Tomorrow! • If you score at least 1 point higher than your last test, you will receive a 100% for a quiz grade. • If you do not score at least 1 point higher, you will not be penalized… • …but shame will fall upon you!
Homework! • 1. x > 4 8. x < 2 • 2. x < 5 9. x > -3 • 3. x < 3 10. h < 7 • 4. x < 8 11. h > 10 • 5. x > 8 • 6. x > 9 • 7. x < -2
XEI 506: Solve first-degree inequalities that do not require reversing the inequality sign* XEI 601: Write expressions, equations, and inequalities for common algebra settings Linear Inequalities: Reversing the Sign!
Reversing the Sign! • Whenever we multiply or divide by a negative number, we must REVERSE the inequality sign. -2x < 6 -2 -2 x > -3 We have to divide by -2. So we have to reverse the sign.
Two-Step Linear Inequality -2x – 2 > -8 + 2 + 2 -2x > -6 -2 -2 x < 3 Reverse the sign! Oh! Reverse the sign!
Two-Step Linear Inequality Reverse the sign! -3x + 1 < 10 – 1 – 1 -3x < 9 -3 -3 x > -3
Two-Step Linear Inequality Allan, you dummy, reverse the sign! 5x > -9 + 8x – 8x – 8x -3x >-9 -3 -3 x < 3
Two-Step Linear Inequality 1 2 _ x + 2 < 5 – 2 – 2 x < 3 x > -6 . . 1 2 2 1 _ _ 2 1 _ If you don’t get it by now, REVERSE the sign when multiplying or dividing by a negative number!
Chris’ Chickens! Chris has $500 in his savings account. He has been buying chickens. It costs him $3 for every chicken he buys. He now has less than $50. How many chickens did he buy? 500 – 3c < 50 – 500 – 500 -3c < -450 -3 -3 c > 90 He bought more than 90 chickens! I love chicken!
Nadia’s Teeth Nadia has to pay for new teeth. She has $450 in her bank account but pays $25 a month. She now has less than $150 in her bank account. How many months has she been paying? $450 – $25m < $150 – 450 – 450 -25m < -300 -25 -25 m > 12 months My teeth are great now!