Literal Equations

Vocabulary

100

Define literal equations

Equations with multiple variables

200

Define PEMDAS

Parentheses, exponents, multiplication, division, addition, subtraction

300

Define reciprocal

The flipped version of a fraction

400

Define isolate

Getting a number by itself

500

Define variable

A number that is unknown

Solving

100

d = 2r

solve for r

d/2 = r

200

I = prt

solve for r

I/pt = r

300

y = mx + b

solve for m

y - b/x = m

400

w = 3x + 7y

solve for y

w - 3x/7 = y

500

A = 1/2h(x + y)

solve for y

2A/h - x = y

Where is the Mistake?

100

C = 2r

solve for r

C - 2 = r

Divide by 2 instead of subtracting 2

200

E = mc^2

solve for c

E - m = c^2

Divide by m instead of subtracting

300

a = 2(b - c)

solve for b

a = 2b - c

b = a + c/2

Distribute the 2 to b and c. 

400

p = 100a/t

solve for a

100pt = a

Divide by 100 instead of multiply

500

C = 5/9(F - 32)

solve for F

F = 5/9C + 32

Flip the 5/9 to 9/5

Application

100

The area of a triangle is A = 1/2 bh. What is the height of the triangle in terms of the base and area?

h = 2A/b

200

Ohm's law of electricity states that V = IR, where V is the voltage, I the current, and R represents the resistance. Solve for I. If V=220 and R=4, what is I?

I=V/R and I=55

300

In order to aerate and laser-grade a baseball field, a contractor charges $350, plus $25 per hour for a job. The equation C = 25h + 350 describes the cost, c for a job that takes h hours. Solve for h. 

h = C - 350/25

400

At Turner Field, hot dogs cost $2.25 and drinks cost $1.75. The total cost, t, for h hot dogs and s sodas can be described by the equation t = 2.25h + 1.75d. Solve for d. 

d = t - 2.25h/1.75

500

The weight, in newtons, of an object in a particular location is equal to its mass, in kilograms, times the gravitational acceleration in that location. As a formula, this is written w = mg, where w = weight, m = mass, and g = gravitational acceleration. Neil Armstrong had a mass of 80 kg on Earth. On Earth’s surface, the gravitational acceleration is g = 10 newtons per kilogram. What was Niel’s weight on Earth?

800

More Solving

100

K = mv^2/2

solve for m

2K/v^2 = m

200

P = 2L + 2W

solve for w

P - 2L/2 = W

300

Ax + By = C

solve for y

C - Ax/B = y

400

A = P + Prt

solve for t

A - P/Pr = t

500

a = b + c/d

solve for b

ad - c = b