Literal Equations Practice
Treat every other letter as a number and get the one you want alone.
Last updated
12 problems
- 1.
- 2.
- 3.Solve for h.A = 1/2 bhAnswer2×A/b=h
Multiply by the common denominator
2×A=b×hMove b to the other side
2×A/b=h
- 4.Solve for a.v = u + atAnswer(v−u)/t=a
Move u to the other side
v−u=a×tMove t to the other side
(v−u)/t=a
- 5.Solve for n.S = 180(n − 2)AnswerS/180+2=n
Move 180 to the other side
S/180=n−2Move −2 to the other side
S/180+2=n
- 6.Solve for P.A = P + PrtAnswerA/(1+r×t)=P
Factor
A=P×(1+r×t)Move 1+r×t to the other side
A/(1+r×t)=P
- 7.Solve for y.5x + 5y = 5Answery=1−x
Move 5×x to the other side
5×y=5−5×xMove 5 to the other side
y=1−x
- 8.Solve for y.7x + 7y = 14Answery=2−x
Move 7×x to the other side
7×y=14−7×xMove 7 to the other side
y=2−x
- 9.Solve for l.P = 2l + 2wAnswer1/2×P−w=l
Move 2×w to the other side
P−2×w=2×lMove 2 to the other side
(P−2×w)/2=lSplit the fraction
1/2×P−w=l
- 10.Solve for y.5x + 3y = 6Answery=2−5/3×x
Move 5×x to the other side
3×y=6−5×xMove 3 to the other side
y=(6−5×x)/3Split the fraction
y=2−5/3×x
- 11.Solve for y.5x + 3y = 3Answery=1−5/3×x
Move 5×x to the other side
3×y=3−5×xMove 3 to the other side
y=(3−5×x)/3Split the fraction
y=1−5/3×x
- 12.Solve for C.F = 9/5 C + 32Answer5/9×F−160/9=C
Move 32 to the other side
F−32=9/5×CMultiply by the common denominator
5×F−160=9×CMove 9 to the other side
(5×F−160)/9=CSplit the fraction
5/9×F−160/9=C
The steps are the same as for any equation. The answer is an expression instead of a number, like y = -x + 1.
Common questions
- What is a literal equation?
- An equation with more than one letter, such as a formula. Solving it means getting one letter alone.
- Why learn this?
- It turns a formula around: Celsius to Fahrenheit and back, or a line into y = mx + b.
