Solve Multistep Equations
- 5(x- 2) - (x + 2) =50
What is x = -7
4 = 12
5 2y - 3
What is y = 9
60 = 4(2y - 3)
60 = 8y - 12, 72 = 8y, 9 = y
|x +1| = 6
x + 1 = 6 and x + 1 = -6
x = {-7, 5}
6a+5a=-11
What is a=-1
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
8 - 3(k + 2) = 2 - 3k
What is 2 = 2
Infinite Solutions
5 = 3
y - 7 y - 5
5(y - 5) = 3(y - 7)
5y - 25 = 3y - 21
2y - 25 = -21
2y = 4
y = 2
Solve the Absolute Value Equations.
|6c - 18| = 30
6c -18 = 30 and 6c - 18 = -30
c = 8 and c = -2
c = {-2, 8}
Solve w = 9x + 5y for y
What is
w - 9x = y
5
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
3w - (7w + 12) = 2(w - 3)
What is w = - 1
-2(x+3)<10
Show graph for: x>-8
Solve multistep absolute value.
|2x - 1| = 17
x = {-8, 9}
2x -1 = 17, 2x -1 = -17
2x = 18, 2x = -16
x = 9, x = -8,
Solve the inequality, graph, and write using Interval notation
5(x + 8) -7 < 23
5x + 40 -7 < 23
5x + 33 < 23
5x < -10
graph x < -2
Interval Notation (-oo, -2]
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.
NOTE use: P = 2L + 2w
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
8=8v-4(v+8)
What is v=10
2(x + 1) < -3x - 13
2x + 2 < -3x - 13
5x + 2 < - 13
5x < -15
Show graph for: x < -3
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
Solve the compound inequality, graph, and write using Interval notation
-2x - 1 < -17 or 1 - x > 4
-2x < -16 or -x > 3
x > 8 or x < -3
graph: x > 8 or x < -3
Interval Notation: (-oo, -3] or (8, oo)
As part of their togovernment class, Maddie and Ryan had to log volunteer hours in their community. Ryan volunteered for one more than three times the number of hours that Maddie did. Altogether, they volunteered in their community for 45 hours, how many hours did Ryan Volunteer?
Let x = Maddie's hours
Let 3x + 1 = Ryan's hours
x + 3x + 1 = 45
4x = 44, x = 11
Ryan worked 3(11) + 1 =34 hours
5(2x+6)=-4(-5-2x)+3x
What is x=10
9n - 6 < 5n + 18
Show graph for: n<6
Solve V = 1/3*pi *r2*h for h
3V/pi*r2 = h
Solve, Graph & Write using Interval Notation
-24 < 2x - 10 < -6
What is -7 < x < 2
Graph: -7 < x < 2
Interval Notation [-7, 2)
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