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Literal Equations

Literal Equations

Assessment

Presentation

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•
CCSS
HSA.CED.A.4, 7.EE.B.4A, 8.EE.A.2

+5

Standards-aligned

Created by

Justine Fournier

FREE Resource

23 Slides • 23 Questions

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Multiple Choice

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

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1

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-2

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-6

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Open Ended

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

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Open Ended

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

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Fill in the Blanks

Solve for t in the equation d = rt.

Type answer...

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Fill in the Blanks

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

Type answer...

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Multiple Select

Which of the following are examples of literal equations?

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d = rt

2

A = 1/2bh

3

m + n = 3p

4

-4x = 20

13

Multiple Choice

Which of the following best describes a literal equation?

1

An equation with only one variable

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An equation with two or more variables

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An equation with no variables

4

An equation with only constants

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Multiple Choice

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

1

c - b + 3a

2

c + b - 3a

3

(c - b)/3a

4

(b - c)/3a

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Fill in the Blanks

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

Type answer...

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Fill in the Blanks

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)?

Type answer...

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Fill in the Blanks

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

Type answer...

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Multiple Choice

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

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2l(w+1)

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2(l+w)

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2w(l+1)

4

2l(w+l)

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Multiple Choice

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

1

B = (3V)/h

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B = 3Vh

3

B = 3V - h

4

B = 3V + h

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Fill in the Blanks

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)

Type answer...

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Fill in the Blanks

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

Type answer...

34

Fill in the Blanks

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

Type answer...

35

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?

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h = (1/3)VB

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h = V/3B

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h = 3V/B

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h = 3VB

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Fill in the Blanks

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

Type answer...

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Fill in the Blanks

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

Type answer...

.

41

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?

1

3√(V/πh)

2

√(V/3πh)

3

3√(V/πh)

4

(1/3)√(V/πh)

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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?

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Multiple Choice

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

1

I feel confident and can solve them independently.

2

I understand the steps but need more practice.

3

I am still confused about some parts.

4

I need a lot more help with this topic.

46

Open Ended

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

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