Linear Equations
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Transcript of Linear Equations
![Page 1: Linear Equations](https://reader036.fdocuments.us/reader036/viewer/2022082700/549534d6b47959fa0a8b4709/html5/thumbnails/1.jpg)
PRACTICE PROBLEM #1 Jennifer has a summer job cleaning
swimming pools. After 30 minutes, a 5-foot-deep pool is filled to the 2-foot level. At the same rate, how long will it take to fill the pool entirely?
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PRACTICE PROBLEM #2 Simplify:
42t + 3p - -y + 16t – 3p/8 + y^2 + 45
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LINEAR EQUATIONS AND
INEQUALITIESSolving equations with the
unknown variables on both sides
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EXAMPLESpencer is spending money, while his
sister Sabina is saving it. At present, Spencer has $100, but he spends about $2 more than his allowance each week. Sabina has $50, but she is saving about $3 of her allowance each week.
Spencer:
Sabina:
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AX + B = CX + D
SOLVING…
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AT WHAT POINT DOES SPENCER AND SABRINA HAVE THE SAME AMOUNT? Example #1
A = 100 2w
A = 50 + 3w
100 – 2w = 50 + 3w
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SAME PLACE, SAME TIMEExample #2
Kirby and Clayton are skating the same direction along the shore of a frozen lake. Clayton is skating at a speed 4ft per second and is 12ft beyond the warming house. Kirby is skating at 13ft per second and is 30ft beyond the warming house…
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AT WHAT TIME WERE THE TWO IN THE SAME LOCATION??
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SOLVEExample # 3
y = 391 – 16y
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SOLVEExample # 4
2x – 5/3 = x + 1/6