Solve Equations Steps

Which of these is equivalent to 2cos²x − 3cosx = 0 ?

• -cos²x = 0

• cosx(2cosx + 3) = 0

• cosx(2cosx − 3) = 0

• cos x = ⅔

Tags

CCSS.HSF.TF.B.7

Which is a correct way to solve the equation

cosx(2cosx − 3) = 0?

• divide cos x from both sides

• set each factor equal to 0 and solve

• distribute cosx into the parentheses

• guess and hope for the best

Tags

CCSS.HSF.TF.B.7

Choose a good way to start solving this equation

tanx sin²x = 2 tanx

• divide tanx from both sides

• factor out tanx

• subtract 2 tanx from the left and then factor tanx out

• cancel sin²x out

Tags

CCSS.HSF.TF.B.7

To solve this equation, cos²x + sinx = 1, replace cos²x with

• sec²x

• sin²x − 1

• 1 − sin²x

• 1 + tan²x

Tags

CCSS.HSF.TF.C.8

To solve the equation sec²x − secx = 2

• start by subtracting 2 from both sides and then factor

• add sec x to both sides and factor

• factor out secx and set each factor equal to 2

• sec x is never bigger than 1, so there are no solutions

Tags

CCSS.HSF.TF.B.7

Solve the equation (secx − 2)(secx + 1) = 0 on [0, 360⁰)

• 60⁰, 180⁰, 300⁰

• 30⁰, 180⁰,330⁰

• 60⁰, 120⁰

• 180⁰

Tags

CCSS.HSF.TF.B.7

Solve the formula for x.  What is the 1st step?

• Add b to each side. 

• Subtract b from each side. 

• Divide each side by m. 

• Multiply each side by m. 

Tags

CCSS.HSA.CED.A.4

Solve the formula for y.  What is the 1st step? 

• Subtract B from each side.  

• Divide each side by Ax. 

• Divide each side by B. 

• Subtract Ax from each side. 

Tags

CCSS.HSA.CED.A.4

Solve the formula for r.   What is the 1st step?

• Divide each side by t. 

• Subtract t from each side. 

• Add t to each side. 

• Multiply each side by t. 

Tags

CCSS.HSA.REI.A.1

Solve the equation for x.  What is the 2nd step? 

• Add x to each side. 

• Subtract b from each side. 

• Divide each side by m. 

• Multiply each side by x. 

Tags

CCSS.HSA.REI.B.3