solving two step equations
DESCRIPTION
Chapter 7 Section 1 Solving Two Step EquationsTRANSCRIPT
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Chapter 7 Section 1: Chapter 7 Section 1: Solving Two-Step EquationsSolving Two-Step Equations
Warm Up: Solve each equation.
1) 9 + k = 17
2) d – 10 = 1
3) y – 5 = -4
4) x + 16 = 4
5) b + 6 = -4
1) K = 8
2) D = 11
3) Y = 1
4) X = -12
5) B = -10
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Spray On Warm Up! Distributive Property
(-5)(4x – 3)
(7)(2x + 5)
(3)(6m + 1)
-20x + 15
14x + 35
18m = 3
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Solving Two-Step equations
• There is a model method, but who cares about that.
• To SOLVE, find the value of a variable, a two-step equation, first undo addition or subtraction, then undo multiplication and division.
In other words, to SOLVE,
do PEMDAS backwards. (SADMEP)
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Check Your Work
3n – 6 = 15
+ 6 + 6
3n = 21
3 3
n = 7
• Equation
• Addition Prop. of Equality
• Simplify
• Division Prop. of Equality
• Solve
Now that we know n = 7, to check, we stick it back in to check.
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Check Your Work
• 3(7) – 6 = 15
• 21 - 6 = 15
• 15 = 15
• Equation with variable.
• Simplify
• Solve, true statement.
Now that we know n = 7, to check, we stick it back in to check.
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Solve and Check Your Solution
15x + 3 = 48
T/4 – 10 = -6
9g + 11 = 2
X = 3
T = 16
G = -1
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The Dietary Soccer Player• A soccer player wants to eat 700 calories at
a meal that includes a Reuben sandwich and pickles. The sandwich has 464 calories, and the pickles have 7 calories each.
• Solve the equation 464 + 7f = 700 to find the number of pickles the soccer player can eat.
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The Dietary Soccer Player• A soccer player wants to eat 700 calories at
a meal that includes a Reuben sandwich and pickles. The sandwich has 464 calories, and the pickles have 7 calories each.
• Suppose the soccer player drinks a 200 calorie sports drink with the meal. Create another equation that incorporates the drink to determine how many pickles the soccer player can now eat to stay within his diet.
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Reminder About Equations and Negative Variables
What is –x?-x is like saying (-1)x or –1 • x.Therefore, -x is the opposite of x.Solve: 5 – x = 17 + (-5) + (-5) 0 - x = 12 (-1) (-1) x = -12
Equation
Addition Prop. of Equality
Simplify
Division Prop. of Equality
Solution
Now Check Your Answer!
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Try These
-a + 6 = 8
-9 – (y/7) = -12
13 – 6f = 31
A = -2
Y = 21
F = -3
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Two Step Equations in Real Life
• Lynne saves $45 each week. She now has $180. She plans to save for a trip to Puerto Rico. To find how many weeks w she will take to save $900,
• solve $180 + $45w = $900.
It will take Lynne 16 weeks from now, to save up 900 bucks.
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Try This One• Jacob bought four begonias in 6 inch pots
and a $19 fern at a fund-raiser. He spent a total of $83. Solve the equation 4p + $19 = $83 to find the price p of each begonia.
Each pot of begonias cost $16.
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Assignment #25:Page 346: 1-26 all.
www.phschool.comCode: awe-0701