Multi- Step Equations
Simplifying Expressions
Solution Types
Functions
y=mx+b
100

2x-17=35

x= 21

100

4x= 36

x=9

100

. -10 = 4x – x

x=-10/3

one solution

100

(3,1), (2,1), (3,5), (2,4)

Not a function

100

y=2x +4

Solve for y when x is 3. 

y=10

200

2x-17= 35

x= 21

200

6x-3= 33

x=6

200

2a + a = 8

x= 8/3

One solution

200

What is the equation for the function with these coordinate points?

(0, 2), (1, 5), (2, 8), (3, 11)

y = 3x + 2?

200

Solve for x when y is 50. 

Y=2x+5

x=45/2

300

18x+17= 35x

x=1

300

2x = x+12

x=12

300

.  8x-1 = 5x–1+3x

0=0

all solutions

300

A swimming pool has 30 gallons of water in it. Water is added to the pool at a rate of 5 gallons per second.

Select the equation that models the relationship between the amount of water (W), in gallons, in the swimming pool after t seconds.

W = 5t + 30

300

y= 12x +11

Solve for y when x is 0. 

y=11

400

2x+18= 2x

no solution

400

5x +6= 10x +1

x= 1

400

 4 = 1 - 4x + 3

x=0

One solution

400

remote control airplane takes off from sea level (ground) and travels at a constant rate of 20 feet every 5 seconds. What is the equation of this line?

y= 4x 

400

y= x

solve for x when y is 300.

x= 300

500

2(n+15) =4

n+ -13

500

2(3x+1) = x+13

x=3

500

4x+12=4x-3

No Solutions

500

Kayla and Brie are twins, and they each receive $10 a week as an allowance. Kayla has $20 in her savings account and is depositing all of her allowance into her account each week. Brie has $50 in her savings account, and is only depositing $5 into her account each week. Will Kayla ever have as much money as Brie?  If so, at what week number?

Kayla will never have as much as Brie. 

500

solve for x.  

y= 2x+14

x= y-14/2

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