Literal Equations

Multiple Choice

The solution of the equation 5 - 2x = -4x - 7 is

• 1

• 2

• -2

• -6

Open Ended

What is the significance of being able to solve literal equations in mathematics and science?

Open Ended

How would you solve for x in the equation 3x = y?

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Solve for t in the equation d = rt.

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If the volume of a prism is 64, its length is 4, and its width is 2, what is its height?

Multiple Select

Which of the following are examples of literal equations?

• d = rt

• A = 1/2bh

• m + n = 3p

• -4x = 20

Multiple Choice

Which of the following best describes a literal equation?

• An equation with only one variable

• An equation with two or more variables

• An equation with no variables

• An equation with only constants

Multiple Choice

If 3ax + b = c, what is x equal to?

• c - b + 3a

• c + b - 3a

• (c - b)/3a

• (b - c)/3a

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If the average of two numbers is 7 and one of the numbers is 4, what is the other number?

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Given the formula V = (1/3)πr^2h for the volume of a cylinder, what is the height of a cylinder with volume 100 cm³ and radius 2 cm (to the nearest tenth)?

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Solve for c in terms of a and b: ac + bc = ab.

Multiple Choice

What is the factored form of the expression 2lw + 2l?

• 2l(w+1)

• 2(l+w)

• 2w(l+1)

• 2l(w+l)

Multiple Choice

Which of the following formulas represents the correct way to solve for B in the formula V = (Bh)/3?

• B = (3V)/h

• B = 3Vh

• B = 3V - h

• B = 3V + h

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The cost of mailing a letter in the United States in 2008 was $0.41 for the first ounce and $0.26 for each additional ounce. If Patty paid $0.93 to mail her letter, how many ounces was it? (C = cost, z = ounces)

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Given the formula F = (Gm1m2)/r^2, solve for r.

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The formula for kinetic energy is K = (1/2)mv^2. Write an expression for v in terms of K and m.

Multiple Choice

The formula for the volume of a pyramid is V = (1/3)Bh. What is h expressed in terms of B and V?

• h = (1/3)VB

• h = V/3B

• h = 3V/B

• h = 3VB

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Given the equation ax + by + c = 0, solve for y.

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The formula for the area of a trapezoid is A = (1/2)h(b₁ + b₂). If the area is 60 square feet, the height is 6 ft, and one base is 12 ft, the number of feet in the other base is

.

Multiple Choice

Which of the following correctly expresses the radius, r, of a cone in terms of its volume V and height h, given the formula V = (1/3)πr²h?

• 3√(V/πh)

• √(V/3πh)

• 3√(V/πh)

• (1/3)√(V/πh)

Open Ended

Explain how you would solve for the variable in a two-step equation such as 5t - 2r = 25. What strategies or steps would you use?

Multiple Choice

Which of the following best describes your experience with solving literal equations after this lesson?

• I feel confident and can solve them independently.

• I understand the steps but need more practice.

• I am still confused about some parts.

• I need a lot more help with this topic.

Open Ended

What is a literal equation and how does it differ from a standard linear equation?