MODULE 7 - Review and QUICK CHECK

MODULE 7 REVIEW and QUICK CHECK Review and Practice Assignment.

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Let's show off what we have learned! Aim for a 💯

​Let's look back at solving equations with a variable on both sides....REFRESHER!

Steps to Solve EQUATIONS using Distributive Property.

• D - Distribute

• C - Combine Like Terms

• M - Move the variable to one side

• A - Get rid of adding or subtracting

• M - Get rid of multiplication or division

Here is an example of how to solve a Multi-Step equation. See if you can follow the steps that are written on the side.

Multiple Choice

Solve this equation

$$1.5d+3.25=1+2.25d$$  

• d = 3

• d = 0.75

• d = 6.25

Multiple Choice

Solve this equation.

$$4a-4=8+a$$  

• a = 2

• a = 12

• a = 4

Open Ended

Happy Paws charges $19.00 plus $1.50 per hour to keep a dog during the day. Woof Watchers charges $14.00 plus $2.75 per hour. Write and solve an equation to find for how many hours the total cost of the services is equal.

Multiple Choice

SOLVE.

$$14+5x=3(-x+3)-11$$  

• x = - 8

• x = -2

• x = 3

• x = 12

Multiple Choice

SOLVE.

$$3(x+5)=2(3x+12)$$  

• x = 8

• x = -3

• x = 5

Multiple Choice

Solve the following equation for  $$x.$$   $$5x\ -\ 6\ =\ 8\ -\ 2x$$  

• $$x\ =\ 2$$  

• $$x\ =\ -4\ \frac{2}{3}$$  

• $$x=\ -2$$  

• $$x\ =-\frac{2}{3}$$  

Multiple Choice

Solve for x

Just like a normal equation - do the inverse operation

• 6/10

• 1

• 0

• 9/25

Now...let's review equations with One, Many or No solutions!​ 😎

​Here are some HELPFUL NOTES for you!!

Multiple Choice

What is the solution to this equation?

• one solution

• no solution

• infinite solutions

• none of these

Multiple Choice

Solve:
3x + 15 = 3(x + 5)

• No Solution
• x = 15
• Infinitely Many Solutions

Multiple Choice

$$14-2(3p+1)=6(4+p)$$  

• No Solution
• One Solution
• Infinite Solutions

Multiple Choice

Find the solution to the equation:
3(1 - 6x) = -19 + 4x

• No Possible Solutions
• x = 1
• x = 4
• x = (-1)

Multiple Choice

9y+8=9y-8

• No Solution

• One Solution

• Infinite Solution

Multiple Choice

Find the solution to the equation:
^{5(2x+3) - 4x = 3(2x+5)}

• x = 2
• x = 0
• Many Possible Solutions
• No Possible Solutions

Multiple Choice

Find the solution to the equation:
-19 + 3x = 3( x - 5)

• No Possible Solutions
• Many Possible Solutions
• x = (-6)
• x = 8

Multiple Choice

^{Find the solution to the equation:
-13 + 5a = 3(a - 3)}

• a = 5
• a = 9
• a = 0
• a = 2

Multiple Choice

Find the solution to the equation:
2(5b - 3) = 6b + 6

• b = 12
• b = 3
• b = (-7)
• No Possible Solutions

Multiple Choice

Find the solution to the equation: $$25-5a=-5(a-4)$$  

• a = 0
• a = 10
• No Possible Solution
• Many Possible Solutions

YOU ARE DONE 😎