Writing Equations and Word Problems
Six times the sum of a number and 4 is equal to 10.
DOUBLE
6(x+4)=10
Solve
2x + 3 = 5
x = 1
Solve
9-x = x -9
x = 9
Solve
Abs(x) = 12
x = 12, -12
Solve
21/x = 15/5
x = 3
Write a sentence for the equation below.
4 + 3x = 5x
Four plus a number times 3 is 5 times a number.
Solve
-2x -14 = 36
DOUBLE
Solve
2x+5 = 2(x+5)
No Solution
Solve
Abs(x +6) = -5
No Solution
Solve
(x+10)/12= 3/4
x = -1
The coldest temperature in Michigan was 11 degrees colder than the coldest temperature at Hawley Lake in Arizona. If Michigan's coldest temperature was 51 degrees, what was Arizona's?
What is 40 degrees?
DOUBLE
Solve
-3/4x = 12
x = -16
Solve
3(x+4) = 1 +3x +11
Infinite Number of Solutions
Solve
3abs(x+5)=15
x = 0
Solve
(2x + 10)/7 = 14
x = 44
The standard width of a high school soccer field is 55 yards. If 1 yard = 3 feet, what is the width of the soccer field in feet?
165 feet
Solve
13 = -4x +5
x = -2
Solve for a
(2 +3a)/5 = 10
a = 16
Solve
2abs(2x+5) = 18
x = 2, -7
A triangle has and area of 30 ft^2. What is the base if the height is 5.
A = 1/2 B*H
B = 12
A car leaves Detroit at a speed of 60 miles per hour. Three hours later, a second car leaves Detroit traveling at a speed of 80 mph. The car's distances from Detroit at time t hours are shown below.
60t and 80(t-3)
After how much time t will the two cars be the same distance from Detroit?
12 hours
Solve for h
v = hpir^2
h = v/(pir^2)
Solve for x
3(x+12) = 5x - 24
x = 30
Solve
2 + 6abs(2x+4) = 14
x = -3, -1
The standard ratio for a smartboard for width to height is 5:4. If the width is 70 inches, what is the height?
56 inches