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Good Morning!! Be seated and quiet BEFORE the bell rings!!

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Presentation on theme: "Good Morning!! Be seated and quiet BEFORE the bell rings!!"— Presentation transcript:

1 Good Morning!! Be seated and quiet BEFORE the bell rings!!
Multi-Step Equations Good Morning!! Be seated and quiet BEFORE the bell rings!! Pick up your warm-up sheets from your desk and get your calculator Have homework and NOTES on your desk to be checked!!

2 Solving 1-Step, 2-Step, & Multi-Step Equations
Use inverse operations to solve multi-step equations Solve problems involving multiple steps

3   Undoing Operations Evaluate P E MD AS Solve
Multi-Step Equations Undoing Operations Evaluate P E MD AS Solve To solve undo operations from the bottom & work your way up!! Note: The only exception is when you have an equation where the numerator is divided by the denominator.

4 Real-Life Problem John had $5 before he received his weekly allowance from his Mom. He now has $25. Write an equation to represent this situation. How much is John’s allowance? Let a = the amount of John’s allowance a + 5 = 25 a = 20 John’s allowance is $20 a week

5 Real-Life Problem Mary has only 3 cats left after 37 were removed from her home. Write an equation to represent this situation. How many cats did Mary have originally? Let c = the number of cats Mary had c - 37 = 3 c = 40 Mary had 40 cats! 

6 Ex 1 Solve each equation n + 7 = 9 x – 3 = 8 -4x = -12 x = 11 2
You Try!! n + 7 = 9 x – 3 = 8 -4x = -12 x = 11 2 m + 7 = -4 x – 5 = -7 -3x = 9 x = 15 3

7 Pair up with a neighbor. You will get 6 min
Pair up with a neighbor. You will get 6 min. to solve the following equations. (The person who gets the most correct will receive a reward!!) m + (-7) = -24 x – 30 = -70 -14x = -52 x = -2 35 m + (-17) = -14 x – (-35) = -72 -13x = -39 x = -2 32

8 Let’s try some examples
Multi-Step Equations Solve each of the equations below and graph on the number line: 1) 2x – 5(x + 1) = -9 2) -x + ½(2x – 3) = 3 3) 3(n – 5) – 2(n – 1) = -1 4) 5n + 3 = -7 4

9 Graph solutions to equations on the number line provided
Multi-Step Equations Graph solutions to equations on the number line provided 1) 2) 3) 4)

10 Ex 2 Solve each equation You Try!! 3(m + 9) - 5 = -15 2(m + 7) - 5= -4
Multi-Step Equations Ex 2 Solve each equation You Try!! 3(m + 9) - 5 = -15 ½(x – 6) + x = -2 -3x - 4 = 11 -5 1 - 2x = 21 3 2(m + 7) - 5= -4 ½(x – 6) - x = -3 -3x + 1 = 11 -4 1 - 3x = 11 4

11 Graph solutions to equations on the number line provided
Multi-Step Equations Graph solutions to equations on the number line provided 1) 2) 3) 4)

12 Get “Jiggie” With it!! For each envelope
Multi-Step Equations Get “Jiggie” With it!! For each envelope Record the equation on the outside on line one Remove all of the strips from the envelope Put the steps in the CORRECT order to solve the equation Note: The 1st step should be the equation and the last step should be the solution.

13 Using equations to solve problems
Multi-Step Equations Using equations to solve problems Define a variable Translate words into symbols using the variable above Solve the resulting equation Answer the question asked

14 Translate into an equation & solve.
Multi-Step Equations Translate into an equation & solve. Four times the sum of a number and six is thirty-two. The square of seven less than a number is nine.

15 Another type of problem
Multi-Step Equations Another type of problem The sum of two numbers is The larger number is 5 times larger than the smaller number. Find the numbers.

16 Here’s another problem
Multi-Step Equations Here’s another problem There were 474 tickets sold for the school football game. Students bought five times as many tickets as the faculty did. Write and solve an equation to determine how many tickets were bought by the faculty and the students.

17 Multi-Step Equations Select two numbers You and a partner must make up two different equations using at least two different operations Exchange problems and solve. Check your partners solution for accuracy.

18 Tonight’s Assignment Complete 2.3 assignment from your unit outline
Multi-Step Equations Tonight’s Assignment Complete 2.3 assignment from your unit outline Study for a quiz on solving equations coming up on Wednesday!!


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