Five times a number decreased by nine is the same as the product of 3 and a number increased by 7
5x - 9 = 3x +7
100
15 - 2x = 3x
x = 3
100
18>= 5k + 4k
k<=2
Closed circle; shade left
100
6/5 = x/15
x = 18
100
Josh finished 24 math problems in one hour. At that rate, how many hours will it take him to complete 72 math problems?
3 hours
200
Twice a number increased by 32 is no less than three times the number subtracted by 2
2x + 32 >= 3x - 2
200
5t + 16 = 6 - 5t
t = -1
200
a - 6 < = 15 + 8a
a >= -3
closed circle; shade right
200
6/8 = 7/2x
x = 4.67
200
Tim paints a room that has 400 square feet of wall space in 2.5 hours. At this rate, how long will it take her to paint a room that has 720 feet of wall space?
4.5 hours
300
Twice the sum of a number and 8 is at most thirty two.
2(x+8) < = 32
300
7 + 3x - 12x = 3x + 1
x = 1/2
300
-5n - 6n <= 8 - 8n - n
n>= -4
closed circle; shade right
300
(x+2)/7 = 10/14
x = 3
300
Lynne drove 248 miles in 4 hours. At that rate, how long will it take her to drive an additional 93 miles?
1.5 hours
400
seven plus the product of five and a number is more than seven times the difference between a number and fifteen.
7 + 5x > 7(x - 15)
400
-9(t - 2) = 4(t - 15)
t = 6
400
3(p - 3) - 5p > -3p - 6
p > 3
open circle; shade right
400
(-2x - 4)/(6x + 2) = -2/5
x = 8
400
To make a model of the Guadeloupe River bed, Herman used 1 inch of clay for 5 miles of the river’s actual length. His model river was 50 inches long. How long is the Guadeloupe River?
The river is 250 miles long.
500
Twelve times the sum of three times a number and twenty is at least the difference of five and the product of eighteen and a number.
12(3x + 20) >= 5 - 18x
500
10(2y +2) - y = 2(8y - 8)
y = -12
500
-2(2 - 2x) - 4(x + 5) <= -24
A True Statement; Infinite Solutions/All Real #s
500
(3 - 3x)/5 = (-2x + 4)/3
x = 11
500
In a road atlas, the scale for the map of Connecticut is 5 inches= 41miles. The scale for the map of Texas is 5 inches = 144 miles. What are the distances in miles represented by 2.5 inches on each map?
In Texas every 2.5 inches represents 72 miles.
In Connecticut every 2.5 inches represents 250 miles.