Literal Equations Problems
AX-B=C solve for x
x = c+b/a
2 hours is how many minutes
120 minutes
A car travels at distance d = r. Solve for time t
t = d/r
A student solves 3x = y and gets x = 3y. What is the error?
They multiplied by 3 instead of dividing
A nurse needs to convert a 2 gram dosage to milligrams. How many mg is this? 1g = 1,000 mg
2000 mg
a + 5c = d solve for c
c = d + a / 5
16 minutes is how many seconds
960 seconds
A rug covers an area A = lw Solve for w
w= a/l
To turn 2 feet into inches, a student divides: 2 divided by 12. What is the error?
They should multiply by 12 since feet are larger than inches 24
An architect uses blueprint scale S = d/D Solve for actual distance D.
D= d/s
a + 5c = 4f solve for a
a = 4f - 5c
1 hour and 5 minutes is how many minutes
65 minutes
An athlete runs 5 miles. How many feet is this? 1 mile = 5,280 feet
26 400 feet
A student simplifies w = P - 2l divide everything by 2 to w = P - l. What is the error?
They only divided 2l by 2, forgetting to divide P by 2
A chef needs to convert 48 cups of milk into gallons. How many gallons is this? 1gallon = 16 cups
3 gallons
a + b + c = 2c solve for b
b = 3c - a
4 hour and 1 minute is how many minutes
241 minutes
Weather formula is F = 95C + 32. solve for c
c = 5/9 ( f - 32)
To change minutes to seconds, a student multiplies by 1 minute/60 seconds what is the error
The units do not cancel out; the conversion factor must be flipped
An engineer uses kinetic energy E = 1/2 mv^2. Solve for mass m.
2e/v^2
14a + c - 10d= 4d solve for a
a = 14d-c /14
1 hour and 6 minutes is how many seconds
3960 seconds
A vehicle drives 60 miles per hour. How many feet per second is this? (1 mile = 5,280ft 1hr = 3,600
88 feet per second
A student solves A = 1/2bh for h and gets h = 2a/2b. What is the error?
They divided by 2 instead of multiplying by 2
A pilot travels at 12,000 miles per hour. How many miles per minute is this?
200 miles per minute