Inequalities
8 - 3x <= 14
x >=2
Solve for a. a/y = tr
a =try
Simplify. 8b + 3b
11b
4x + 9 = 33
x = 6
WRITE AN EQUATION & SOLVE: The length of a rectangle is six inches more than its width. If the perimeter of the rectangle is 24 inches, find its dimensions.
Length = 9 in
Width = 3 in
x/6 + 8 > 2
x > -36
Solve for k. krd -y = g
k = (g + y)/(rd)
Simplify. 19x - 24x + 5
-5x + 5
5/2 = (4x +21)/(x-3)
x=19
The highest score on an Algebra test was 42 points more than the lowest. When added together, the lowest and highest score was 154. Find both the highest and lowest score.
Lowest = 56
Highest = 98
3(x - 3) >= 3 + 6x
x <= -4
Solve for p. r = 1/2(p-q)
p = 2r + q
Simplify. 3 + 5(a + 4) - 7a
-2a + 23
-88 = -3(4m +5) - (1-3m)
m=8
There are three times as many drummers as tuba players. There number of tuba players is 10 less than drummers. How many drummers and tuba players are there?
5 tuba players
15 drummers
1/2(4x + 6) > -7 - 3x
x > -2
Solve for z. 2z^2 + mn = v
z = sqrt((v-mn)/2
Simplify. -2b - (4b + 5) + 1/2(8b - 12)
-2b - 11
5/2(6w-16)=18w-(3w+40)
w= oo
The length of a rectangle is 4 centimeters more than twice its width. If the perimeter of the rectangle is 86 centimeters, find the dimensions of the rectangle.
Length = 28 cm
2(x - 9) - 3x < 5x + 24
x > -7
Solve for x.
y - y_1 = m(x - x_1)
x = (y-y_1)/m + x_1
Simplify. 7(t + 8) - 5(t + 7) + 3(8b)
24b + 2t + 21
-8(-1/4x - 1/2) +9x = -x-1
x = -5/12
The sum of three consecutive even integers is 54. What are the integers?
16, 18, 20