Solve Equations
Solve x - 9 = 4
x=13
Evaluate if m = -8, n = 4
|3m - n|
28
Solve proportion 4/9 = a/45
a = 20
Solve for y:
3x+2y=9
y=(9-3x)/2
A boat travels 16 miles due north in 2 hours and 24 miles due west in 2 hours. What is the average speed of the boat?
10mph
Solve 3.8 = m + 1.7
m=2.1
Evaluate if n = 4, p = -12
-3|6n - 2p|
-144
Solve proportion 9/k+3 = 3/5
k = 12
Solve for l
P=2l+2w
A car travels 100 miles east in 2 hours and 30 miles north in half an hour. What is the average speed of the car?
52mph
Solve 14 = -8 - 2k
k = -11
Solve |x - 6| = 11
-5 & 17
State whether each percent of change is increase or decrease. Then find percent of change:
original: 36 new: 24
33% decrease
Solve for y
m=2/5y + n
y = 5/2(m - n)
A ship is sailing due east at 20 mph when it passes the lighthouse. At the same time a ship is sailing due west at 15 mph when it passes a point. The point is 175 miles east of the lighthouse. When will these ships pass each other?
5 hours
Solve -2(b - 3) - 4 = 18
b=-8
Solve |-4w + 2| = 14
-3 & 4
Find the total price of each item:
Jordan shoes: $199, tax 5.25%
$209.45
Solve for w.
14w + 15x = y - 21w
w = (y-15x)/35
A candy store wants to create a mix using two hard candies. One is priced at $5.45 per pound, and the other is priced at $7.33 per pound. How many pounds of the $7.33 candy should be mixed with 11 pounds of the $5.45 candy to sell the mixture for $6.14 per pound? Round to nearest hundredth.
about 6.38 pounds
Solve 4(3w - 2) = 8(2w +3)
w=-8
Solve |2/3b + 8| = 20
18 & -42
Find the final price of the item.
Bert Lynn sweatshirt: $14.99
discount: 12%
tax: 6.25%
$14.02
Solve for d
7d - 3c = f + 2d
d = (f+3c)/5
Jamen has 40 mL of 25% solution. How many mL of 60% solution should he add to obtain the required 30% solution? Round to nearest hundredth.
about 6.67 mL