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Multi-step Equations
Variables on both sides
Infinitely Many, No Solution, One Solution
Math Skills
Word problems
100
2x+4=12
What is x=4
100

4x - 7 = 5x + 1

x = -8

100
2x+6=2x+6
What is infinitely many solutions
100
Explain how you know an equation has infinitely many solutions
What is when both sides are equal, when you can use any value for x and the equations balance
100

Brody works at the ticket booth at the movie theater. He sold 25 adult tickets and several child tickets during his first hour at work. Each adult ticket costs $12 and each child ticket costs $6. He collected $558 during that hour. How many child tickets did he sell?

43

200
5x-3=27
What is 6
200
3x+4x+5=2x+10
What is x=2
200
2x-6=2x+6
What is No solution
200
What makes an equation have no solution?
What is when you have same number of variables and different number of constants
200

Braydon is studying art at the local community college. He wants to take a stained glass art class that will count as 2 credits toward his degree. The college charges d dollars for each credit and a one-time fee of $200.00 for supplies. Braydon determines that $440.60 will be the total cost of the class. Write an equation he can use to find d, the amount the college charges per credit.

2d + 200 = 440.60

300

4(3x - 11) = -26

1.5

300
3(x+2)+2=4x+2
What is x=6
300
3(x-4)=3x+4
What is No solution
300
What is inverse operations?
What is using opposite operations to work backwards to solve equations
300

Aya is saving to buy an electronic tablet that costs $380 including tax. She has saved $150. She plans to earn the rest of the money she needs by mowing lawns. She will charge $12 for each lawn she mows. Let x represent the number of lawns she will need to mow in order to purchase the tablet. Write an equation to represent this situation.

380 = 12x + 150

400

2/3x + 15 = -47

-93

400

9x - 5 = 1/4(16x + 60)

x = 4

400
3x+2x+4=4x-1
What is x=-5 One solution
400
What is a rational number?
What is a number that repeats or terminates
400

The relationship between degrees Fahrenheit (F) and degrees Celsius (C) is given by the equation 5(F - 32) = 9C. What temperature is the same for both temperature scales? In other words, what is the solution to the equation 5(F - 32) = 9F?

f = -40

500

2-1.6x=-2

2.5

500

1/3n - 4 = 4/3 - 1/3n

x = 8

500
5x+y=5x+y
What is Infinitely Many Solutions
500
Give an example of an equation that has:

- one solution

-no solution

-infinite solutions

teacher check!

500

Mr. Mauriello was challenged to solve an 8th grade equation. His solution was x = 0. He said that because x = 0, the equation has no solution. Explain whether he is correct.

He is not! This equation has one solution. An equation with no solution has two different constants set "equal" to each other (9=8)