Drill
This presentation is the property of its rightful owner.
Sponsored Links
1 / 14

Drill PowerPoint PPT Presentation


  • 110 Views
  • Uploaded on
  • Presentation posted in: General

Drill. Lenny’s Lawncare purchased a new truck for 30x + 42 dollars. One year later the value of the truck was 12x + 28 dollars. Write an expression to represent the amount that the truck’s value decreased.

Download Presentation

Drill

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Drill

Drill

  • Lenny’s Lawncare purchased a new truck for 30x + 42 dollars. One year later the value of the truck was 12x + 28 dollars. Write an expression to represent the amount that the truck’s value decreased.

  • Brian bought a new drill for d dollars. He paid 5% sales tax. Write an expression to represent the total amount Brian paid for the drill.

  • At JFK live, the student ticket price is p dollars and the non-student price is $2.75 more. There were 75 student tickets sold and 34 non-student tickets sold. Write an expression to represent the total ticket sales in dollars.


Lesson 3 4 solving multi step equations

Lesson 3.4: Solving Multi-step Equations

Solving problems by working backwards

Solving equations involving more than one operation


Working backwards

Working Backwards

  • Starting at the end of the problem and undo each step

  • Other strategies:


Solve the following problem by working backwards

Solve the following problem by working backwards

  • Danny took some rope with him on his camping trip. He used 32 feet of rope to tie his canoe to a log on the shore. He then gave ⅓ of the remaining rope to some fellow campers who also needed to tie a canoe. The next night, he used half of the remaining rope to secure the his tent during a thunderstorm. On the last day, he used 7 feet as a fish stringer to keep the fish he had caught. After the camping trip, he had 9 feet of rope left. How much did he have at the beginning?


Inverse operations

Inverse operations

multiplication

by an integer

division by

an integer

/5

X 5

division by

an integer

multiplication

by an integer

/5

X 5

multiplication

by an fraction

multiplication

by its reciprocal

X 1/4

X 4/1

addition

subtraction

+ 6

- 6

subtraction

addition

- 6

+ 6


Use a table to organize

Use a table to organize

He used 7 feet as a fish stringer

9 feet + 7 feet = 16 feet

He used half of the remaining rope to secure the tent

16 feet X 2 = 32 feet

He gave 1/3 of the rope to fellow campers

32 feet X 3/2= 48 feet

which means he kept 2/3 of the rope

He used 32 feet of rope to tie his canoe

48 feet + 32 feet = 80 feet


Tips for success when solving multi step equations

Tips for success when solving multi-step equations…

  • “Undo” the operations in reverse of the order of operations (P, E, M/D, A/S)

    • So, we always start with A/S first, then move on…

  • Whatever you do to one side of the equation, you have to do to the other side.

    • Why? It’s like a see-saw; if you add more onto one side, the see-saw will be unbalanced!


Solve using addition and division

Solve Using Addition and Division

  • Solve 5q – 13 = 37. Then check your solution.

  • 5q – 13 + 13 = 37 + 13

  • 5q = 50

  • 5q/5 =50/5

  • q = 10

  • Check 5(10) – 13 = 37; 50-13 = 37

add 13 to both sides

simplify

divide both sides by 5

simplify


Solving using subtraction and multiplication

Solving Using Subtraction and Multiplication

  • s/12 + 6 = -1

  • s/12 + 6 – 6 = -1 -6

  • s/12 = -7

  • 12(s/12 = -7)

  • 12s/12 = 12(-7); s = -84

  • Check: -84/12 + 6 = -1; -7 + 6 = -1

subtract 6 from both sides

simplify

multiply each side by 12

simplify


Solving using multiplication and subtraction

Solving Using Multiplication and Subtraction

Check

please!

Multiply both sides by -3

Subtract 8 from both sides

simplify

simplify


Now you try a few

Now YOU try a few!

1. 3x + 6 = 36

2. 3 + = 6

3. 7 + 6x = -5


Vocabulary

Vocabulary

  • Consecutive integers: integers in counting order, ex: 1, 2, 3, 4… or n, n+1, n+2….

  • Consecutive ODD integers

    • 1, 3, 5…

    • n, n+2, n+4….

  • Consecutive EVEN integers

    • 2, 4, 6….

    • n, n + 2, n + 4….

Notice that you can use the same expression to represent either odd OR even; you just need to define the value of n to be even or odd at the beginning!


Find three consecutive odd integers whose sum is 57

Find three consecutive odd integers whose sum is 57

Let n = the first odd integer

n+2 = the second odd integer

n+4 = the third odd integer

n + (n + 2) + (n + 4) = 57

3n = 51

3n + 6 -6 = 57 - 6

3n = 51

3 3

n = 17

n + 2 = 19

n + 4 = 21

3n

+

6

= 57


Exit pass

Exit Pass

  • Turn to page 145 in your book. Please complete the following problems on a separate piece of paper to turn in: 5-11 (odd)

  • Homework: page 146, 22-39. Work MUST be shown.


  • Login