Literal Equations

Question 1

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 2

If , which equation is solved for t?

Revolt · Accepted Answer

StartFraction uppercase I Over p r EndFraction = t

Question 3

Which equation is equivalent to

Revolt · Accepted Answer

s = StartFraction t + 2 Over 4 EndFraction

Question 4

Paolo wrote the following equation for the perimeter of a rectangle. Which equation is equivalent to the equation Paolo wrote?

Revolt · Accepted Answer

w = StartFraction uppercase P minus 2 l Over 2 EndFraction

Question 5

The equation is the slope-intercept form of the equation of a line. What is the equation solved for b?

Revolt · Accepted Answer

y minus m x = b

Question 6

A student solves the equation using the steps in the table. Original equationCross multiplicationDistributive propertySubtraction property of equality5 = xWhich method of solving for the variable could be used instead of cross multiplication?

Revolt · Accepted Answer

using the multiplication property of equality to multiply both sides of the equation by 10

Question 7

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 8

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 9

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 10

When is solved for c, one equation is Which of the following is an equivalent equation to find c?

Revolt · Accepted Answer

c = StartFraction (10b minus 10) squared Over 25 EndFraction

Literal Equations Answers

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