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Do Now. On my website under “Math Activities” Arcademic - “Swimming Otters” under Algebra- to practice solving algebraic equations ONLY USE YOUR FIRST NAME as the player name Which weighs more a pound of iron or a pound of feathers? THEY ARE THE SAME
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Do Now • On my website under “Math Activities” • Arcademic- “Swimming Otters” under Algebra- to practice solving algebraic equations • ONLY USE YOUR FIRST NAME as the player name • Which weighs more a pound of iron or a pound of feathers? THEY ARE THE SAME • How is the moon like a dollar? THEY BOTH HAVE 4 QUARTERS 3. What is alive and has only 1 foot? A LEG
The Goal of Solving Equations… to get the variable by itself on one side of the equation
X - 3 2 = Solvex – 3 = 2 Think of this equation as a balance scale. Whatever you do to one side has to be done to the other to keep it balanced!
Ex. 1 Solve x – 3 = 2 x – 3 = 2 Write the equation! + 3 = + 3 Add 3 from x + 0 = 5 each side to “undo” the subtraction of x = 53 on the left side.
Then Check! x – 3 = 2 5 - 3 = 2 2 = 2
Ex. 2 The difference between the number of people that visit Great Adventure on a Saturday and the number of people that visit the park on a Wednesday is 1,465. Saturday is the busiest day of the week. There are 4,320 visitors on Wednesday. How many visitors are there on Saturday? Write and solve an equation.
x – 4,320 = 1,465 Write the equation. + 4,320 = + 4,320 Subtract 120 from each side. x = 5,785 Simplify. There were 5,785 visitors to Great Adventure on Saturday. Check 5,785 – 4,320 = 1,465
Ex. 3 5.14 = j – 3.2 5.14 = j – 3.2 Write the equation! + 3.2 = + 3.2 Add 3.2 from 8.34 = j each side to “undo” the subtraction of j = 8.343.2 on the right side.
Then Check! 5.14 = j – 3.2 5.14 = 8.34 – 3.2 5.14 = 5.15
Ex. 6: Solve 10 = y - 4 10 = y – 4 Write the equation! + 4 = + 4 Add 4 from each side to “undo” the subtraction of 4 on the right side. 14 = y
Then Check! 10 = 14 - 4 10 = 14 – 4 10 = 10
Practice Time! Your Turn!
Solve and • x - 5 = 9 • b – 4.4 = 1.6 • 4 = y - 8 • 3 = n – 2
Homework • Pg. 330 #1-24 Evens • Test Corrections due January 10th • Study Quiz Tuesday!