Algebra 2-5 Literal Equations
Name _____________________________ Period _____
Use this formula to find:
1a) Solve
𝑪=
𝟓
𝟗
Use this formula to find:
(𝑭 − 𝟑𝟐) for 𝑭
2a) Solve 𝑪 = 𝟐𝝅𝒓 for 𝒓
1b) The thermometer says the temperature is 100° 𝐶.
What would that temperature be in Fahrenheit?
Use this formula to find:
3a) Solve
𝑨 = 𝒍𝒘
2b) What is the radius of a circle with circumference 22m?
Use this formula to find:
for
𝒍
3b) What is the length of a rectangle with width 10 in. and
area 45 in2?
4a) Solve
𝟏
𝑨 = 𝟐 𝒃𝒉
for 𝒃
4b) A triangle has height 4 ft and area 32 ft2. What is the
length of its base?
5a) Solve 𝒚 + 𝟐𝒙 = 𝟓 for 𝒚
6a) Solve 2y + 4x = 8
for 𝑦
5b) Now, find y when x = 3
6b) Now, find y when x = -2
7a)
Solve (𝒚 − 𝟕) = 𝟑(𝒙 + 𝟗) for 𝒚
7b) Now, find y when x = -10
9. You can use the formula
𝒂=
8a)
Solve 𝟔𝒙 = 𝟕 − 𝟒𝒚
for 𝒚
8b) Now, find y when x = -1
𝒉
𝒏
to find the batting average, 𝒂, of a batter who has 𝐡 hits in 𝒏 times at
bat. Solve the formula for 𝒉. If a batter has a batting average of .290 and has been at bat 300 times, how
many hits does the batter have?
10. Bricklayers use the formula 𝒏
= 𝟕𝒍𝒉 to estimate the number 𝒏 of bricks needed to build a wall of
length 𝒍 and height 𝒉, where both length and height are in feet. Solve the formula for . Estimate the
height of a wall 28 feet long that requires 1568 bricks.
11. Error analysis:
Describe and correct the error made in solving the literal equation for n.