Applications
& Literal Equations
& Literal Equations
The length of a rectangle is one more than five times its width. If the perimeter is 38, find the dimensions.
3 in. by 6 in.
Solve for x.
22 + 2x = 43 + x
x = 21
Solve.
x+3 < 1 or -2x < -18
x < -2 or x > 9
Solve the inequality for a.
-8 + 4a < 6a
a > -4 or -4 < a
Solve the absolute value equation.
|x -3|= 5
x = 8 and x= -2
Solve for y. 4x + 2y = 18
y = 9 - 2x
Solve for x.
3/4x + 5 = 20
x = 20
Solve.
-5 < 2x + 3 <=9
-4 < x <= 3
Solve the inequality for x.
-7x - 13 < 29
x > -6
Solve the absolute value inequality.
|7x| - 13 >=22
x<=-5 or x>=5
Solve for x.
y=1/3(x+1)
Solve for n.
2/6 = (2n+8)/(n-1)
n = -5
Solve and Graph.
6x + 2 <=-16 or 9 -4x< 9
x<= -3 or x>0
Solve and graph the inequality.
6(x + 4) > 2(2x + 8)
x > -4
Solve the absolute value equation.
|18x +9| +1=64
x = 3 or x = -4
Find three consecutive odd integers with a sum of 123.
39, 41, 43
Solve for k.
9(11 – k) = 3(3k – 9)
k = 7
Solve, graph, and write answer in interval notation.
-60<=5(x-12)<-40
0<=x<4
[0, 4)
Solve, graph, and write the answer in interval notation.
3x - 6 > 15 - 18x
x > 1
(1, oo)
Solve, graph, and write the answer in interval notation.
|2x + 5| <=3
x<=-1 and x>=-4
[-4, -1]
For a fundraiser, Taylor sold 2 less than 3 times the number of candy bars that Trentin did. If they sold 334 total bars, find the number sold by each.
Taylor sold 250 & Trentin sold 84
Solve for x.
-3(x + 5) + 2x = -15 - x
oo
Solve, graph, and write answer in interval notation.
x+7<=2 or (x+17)/3 >=5
x<=-5 or x >=-2
(-oo, -5]U[-2, oo)
Solve, graph, and write the answer in interval notation.
5(-3m - 1) >= -m + 23
m <= -2
(-oo,-2]
Solve, graph, and write the answer in interval notation.
3|x+4|-8>=1
x>=-1 or x<=-7
(-oo,-7]u[-1,oo)