Literal Equations

Question 1

Which equation is equivalent to

Revolt · Accepted Answer

s = StartFraction t + 2 Over 4 EndFraction

Question 2

The final velocity, V, of an object under constant acceleration can be found using the formula , where v is the initial velocity (in meters per second), a is acceleration (in meters per second), and s is the distance (in meters). What is the formula solved for a?

Revolt · Accepted Answer

StartFraction uppercase V squared minus v squared Over 2 s EndFraction = a

Question 3

Given the equation , which equation is solved for t?

Revolt · Accepted Answer

t = StartFraction p Over s Subscript 1 Baseline minus s Subscript 2 Baseline EndFraction

Question 4

Cary calculated the surface area of a box in the shape of a rectangular prism. She wrote the equation to represent the width and height of the box. She solved for w and got Which of the following is an equivalent equation?

Revolt · Accepted Answer

w = StartFraction 148 minus 12 h Over 12 + 2 h EndFraction

Question 5

Gavin wrote the equation to represent p, the profit he makes from s sales in his lawn-mowing business. Which equation is solved for s?

Revolt · Accepted Answer

s = StartFraction 4 p minus 300 Over 3 EndFraction

Question 6

The formula for the nth term of an arithmetic sequence can be found using the formula . Which of the following is equivalent to this equation?

Revolt · Accepted Answer

n = a Subscript n Baseline minus a Subscript 1 Baseline + d Over d EndFraction

Question 7

A student solves the equation for v. Start with the original equation.Use the division property of equality.Use the multiplication property of equality.Use the square root property of equality.Simplify.Which statement explains how to correct the error that was made?

Revolt · Accepted Answer

The square root property should have been applied to both complete sides of the equation instead of to select variables.

Question 8

The area of a sector of a circle is given by the equation , where r is the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write?

Revolt · Accepted Answer

StartFraction 360 uppercase A Over pi r squared EndFraction

Question 9

Which of the following equations is equivalent to ?

Revolt · Accepted Answer

h = StartFraction uppercase S Over pi r squared EndFraction

Question 10

Remmi wrote the equation of the line He solved for x and got Which of the following is an equivalent equation for x?

Revolt · Accepted Answer

x = 3 (y minus two-thirds)

Literal Equations Answers

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