Solving Linear Equations with decimals

Solving Linear Equations with decimals

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Warm UP: Explain, in words, how you would solve the equation 2x + 3 = 6x - 4

How to Solve Linear Equations that have decimals

To solve this type of problem, simply multiply each TERM by the highest power of ten needed to clear all the decimals.

Another Example

Multiple Choice

You try. What do I need to multiply by to get rid of the decimal on both sides?

Solve for x: 0.4x = 6.2

• 1

• 10

• 100

• 0

Multiple Choice

What do I need to multiply by to get rid of the decimal on both sides?

Solve 4.5x = 3.55

• 1

• 10

• 100

• 1000

Multiple Choice

Multiple each term by 100 to clear the decimals.

3.41x - 2= 5.4

• 341x - 2 = 5.4

• 341x - 2 = 540

• 341 x - 200 - 540

• 341x - 2 = 54

Multiple Choice

Clear the decimals:

4.5x + 5 = 65.5

• 45x + 5 = 655

• 45x + 50 = 655

• 450x + 5 = 6550

• 45x + 5 = 65.5

Multiple Choice

Solve: 2.5 x + 5 = 7.5

• x = 0.1

• x = 1

• x = 10

• x =100

Multiple Choice

Solve: x + 0.1 = 0.4x - 1.1

• x = 2

• x = -2

• x = -0.2

• x = 1.7

Poll

How comfortable are you with solving equations with decimals?

• I'm very confused

• I'm beginning to understand, but I still have questions

• I just need a little more practice and I'll be fine

• This is so easy!

Open Ended

What are some questions that you have, or that you think your classmates might have?

Multiple Choice

Solve:

3.1 x + 1.2 = 1.82

• 20

• 2

• 0.2

• 0.02

Multiple Choice

Solve:

0.2x + 3 = 9.6x - 44

• x = 50

• x= 5

• x = 0.5

• x = 2.3

Multiple Choice

Solve for x:

.4x - 1.5 = .7x + 0.6

• x = 0.3

• x = 14

• x = 1.2

• x = -7

Multiple Choice

Jase borrows 4 dollars from his brother. He has to pay his brother 25 cents for every day that he didn't pay back the money, plus the original $4. The equation used to calculate how much Jase will owe is Money owed = .25x + 4 , where x is the number of days. What is x if Jase owes his brother 7 dollars?

• x = 4 days

• x = 12 days

• x = 9 days

• x = 3 days