Solve Multistep Equations
Solve & graphing
multistep inequalities
Absolute Value & Literal Equations
combination of multistep equations and multistep inequalities
Word Problems
100

6a+5a=-11

What is a=-1

100

2x-5 >7

Show graph for: X>6

100

5|x + 1| = -45

What is NO Solution

100

6a+5a=-11

What is a=-1

100

The larger of two numbers is two more than five times the smaller number.  If the sum of the two numbers is 80, find both numbers

What is 13, 67?

Let x = smaller number, Let 5x + 2 = 80

x + 5x + 2 = 80

6x = 78

x = 13, 5(13) + 2 = 67

200

r+11+8r=29

What is r=2

200

2x-5<1

Show graph for: x<3

200

Solve the Proportion Problem.

4     =    12

5            2y - 3

What is y = 9

60 = 4(2y - 3)

60 = 8y - 12,   72 = 8y,     9 = y


200

Solve w = 9x + 5y   for y

What is 

w - 9x   = y

    5

200

The larger of two numbers is nine less than four times the smaller number. If the sum of the two numbers is 76, find both numbers.

What is 17 and 59

Let x = smaller

Let 4x -9 = larger

x + 4x - 9 = 76

5x =85, x = 17, 4(17) - 9 = 59

300

30=-5(6n+6)

What is n=-2

300
-2(x+3)<10
Show graph for: x>-8
300

Solve multistep absolute value.

|2x - 1| = 17


x = {-8, 9}

2x -1 = 17, 2x -1 = -17

2x = 18, 2x = -16

x = 9, x = -8,

300

5(x + 8) -7 < 23

What is x < -2

Interval Notation (-oo, 2]

300

The length of a rectangle is two more than three times its width. If the perimeter of the rectangle is 92 meters, find the dimensions.

Let x = width, let 3x + 2 = length

2(x) + 2(3x+ 2) = 92

2x + 6x + 4 = 92

8x = 88

x = 11

What is 11 meters, 35 meters

400

8=8v-4(v+8)

What is v=10

400
-6n>108
Show graph for: n<-18
400

Solve Multistep Absolute Value

|3 - 6p|    =        -9

 -5           



p = {-7, 8}

 (-5)|3 - 6p| / -5  = -9 (-5)

   |3 - 6p| = 45                  |3 - 6p| = -45

3 - 6p (-3) = 45 -3             3 - 6p (-3) = -45 -3

-6p = 42, p = -7                -6p = -48, p = 8


400

5(2x+6)=-4(-5-2x)+3x

What is x=10

10x + 30 = 20 + 8x + 3x, 

10x + 30 = 20 + 11x

10 = x

400

Find two consecutive ODD numbers such that the sum of the larger number and twice the smaller number is 27 less tan four times the smaller number.

What is 29, 31

Let x = 1st Odd Consecutive Number, Let x + 2 = 2nd Consecutive Odd Number

x + 2 + 2(x) = 4(x) -27

3x + 2 = 4x - 27,    2 = x - 27,    29 = x,  31 = x + 2


500
5(2x+6)=-4(-5-2x)+3x
What is x=10
500
9n - 6 < 5n + 18
Show graph for: n<6
500

Solve V = 1/3*pi *r2*h for h

3V/pi*r2 = h


500

Solve, Graph & Write using Interval Notation

9n-6<5n+18

What is n<6

(-oo, 6)


500

Maria and Tim sold candy bars for a fundraiser. Maria sold seven less than twice the number of candy bars that Tim sold. In total Tim sold 137 candy bars.  How many candy bars did Maria sell?


What is ... 89 Candy Bars.

Let x = Tim's sales, let 2x - 7 = Maria's sales

x + 2x - 7 = 137

3x = 144,  x = 48, 2(48) -7 = 89

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