Math AA SL: Solving Equations

#MAASL00047

[Maximum Marks: 8]

A quadratic  can be written in the form . 
The graph of  has axis of symmetry  and -intercept at .

a) Find the value of .

b) Find the value of . 

c) The line  is a tangent to the curve of . Find the values of . 

Detailed Answer/Video Explanations Answer

#MAASL00057

[Maximum Marks: 7]

Let  and .

a. Find .

b. Find .

c. Solve .

Detailed Answer/Video Explanations Answer

#MAASL00220

[Maximum Mark: 15]

Two savings accounts,  and , are created at the same time.
The value of account , in millions of dollars, after  years, is modeled by the function .

a) Find the value of account  when it was made.

b) Find the value of account  after 6 years.

c) How long does it take for the value of account  to reach 300 million dollars?

d) The value of account , in millions of dollars, after  years, is modeled by the function . 
After 10 years, the value of the account is 38 million dollars. 
Find the value of .

e) After  years, the value of account  surpasses that of account . 
Find the value of .

Detailed Answer/Video Explanations Answer

#MAASL00238

[Maximum Marks: 8]

Let  and ,for .

a) Find .

b) Find .

c) Solve .

Detailed Answer/Video Explanations Answer

#MAASL00239

[Maximum Marks: 8]

A quadratic  can be written in the form . 
The graph of  has axis of symmetry  and -intercept at .

a) Find the value of .

b) Find the value of . 

c) The line  is a tangent to the curve of . Find the values of . 

Detailed Answer/Video Explanations Answer

#MAASL00240

[Maximum Mark: 8]

Consider the following functions:

 and 

If the graphs of the functions intersect at two distinct points, what are the possible values of ?

Detailed Answer/Video Explanations Answer

#MAASL00241

[Maximum Mark: 8]

Consider the following functions:

 and 

If the graphs of the functions intersect at one distinct point, what are the possible values of ?

Detailed Answer/Video Explanations Answer

#MAASL00242

[Maximum Mark: 6]

If :

a) Solve 

b) Solve 

Detailed Answer/Video Explanations Answer

#MAASL00243

[Maximum Mark: 6]

If :

a) Solve 

b) Solve 

Detailed Answer/Video Explanations Answer

#MAASL00244

[Maximum Mark: 15]

Two animal populations,  and , are tracked over the same time period.
The population of , in thousands, after  years, is modeled by the function .

a) Find the value of account  when it was made.

b) Find the value of account  after 4 years.

c) How long does the population of  take to reach 130,000?

d) The population of , in thousands, after  years, is modeled by the function . 
After 7 years, the population of  is 90,000. 
Find the value of .

e) After  years, population  surpasses population . 
Find the value of .

Detailed Answer/Video Explanations Answer