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?

PRACTICE PROBLEM #2 Simplify:

42t + 3p - -y + 16t – 3p/8 + y^2 + 45

LINEAR EQUATIONS AND

INEQUALITIESSolving equations with the

unknown variables on both sides

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:

AX + B = CX + D

SOLVING…

AT WHAT POINT DOES SPENCER AND SABRINA HAVE THE SAME AMOUNT? Example #1

A = 100 2w

A = 50 + 3w

100 – 2w = 50 + 3w

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…

AT WHAT TIME WERE THE TWO IN THE SAME LOCATION??

SOLVEExample # 3

y = 391 – 16y

SOLVEExample # 4

2x – 5/3 = x + 1/6