multi-step equations
18x - 2(7x + 3) = -38
x = -8
6/(x-8) = 2/(x+6)
x = -13
|2x + 5| = 9
X = {-7, 2}
Solve
-2(x - 5) < 4
x > 3
11 - (3x + 1) = 7(x - 6) + 2
x = 5
Solve A = 1/2bh for b.
(2A)/h = b
-2|x - 4| + 7 = -3
x = {-1, 9}
Solve and graph.
-5x - 42 > -2 -(x + 4)
x < -9
<-------o
-9
5x + 3(x - 1) = 8(x + 2) - 10
no solution
a/2 = (a-4)/6
a = -2
Solve and graph.
|x - 2| < 5
-3 < x < 7
O-----------O
-3 0 7
Solve and graph.
-2(x + 13) + 37 < 5x - 17
x > 4
o------>
4
Find two consecutive integers whose sum is 93.
46 and 47
2(x -8) + 4x = 6(x - 2) - 4
infinite solutions
x = (y + 3w)/7
Solve and graph.
|2x| + 7 > 15
x< -4 or x > 4
<-------o o--------->
-4 0 4
Solve and graph.
x + 3 < 1 or -7x + 8 < -20
x < -2 or x > 4
<------o o----->
The larger of two numbers is one more than three times the smaller number. If the sum of the numbers is 49, find the two numbers.
What is 12 and 37?
9(x + 5) - 3(x - 2) = 8x + 31
x = 10
(x +2)/6 = (2x-10)/8
x = 19
Solve and graph.
4|x + 2| < 20
-7 < x < 3
o--------o
-7 3
Solve and graph.
-28 < 2x - 10 < -10
-9 < x < 0
o--------o
The length of a rectangle is nine inches less than twice the width. If the perimeter of the rectangle is 84 inches, find the dimensions of the rectangle.
17 inches by 25 inches